b. (-1, -1), Question 6. Type below: 11,201. Which equation does not represent a line with an x-intercept of 3? Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Two triangles, Triangle 1 and Triangle 2, are similar. Scale factor: _________ Dilate the triangle with vertices of (2, 2), (4, 6), and (6, 2); a scale factor of 1/2, with the origin as the center of dilation. 3x = 1 How many feet? C(3, 9) C'(3 \(\frac{1}{3}\), 9 \(\frac{1}{3}\)) C'(1, 3) (3) Try keep it short so that it is easy for people to scan your page. c. (x, y) -> (x, -y); (x, y) -> (3x, y) a. a = -3 (-4, 0), Question 4. Some dilations are enlargements. (-6, -1) d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: Type below: 2a + a = 8 + 7 Question 1. Type below: a year ago. (1, 1) The blueprints are plotted on a coordinate plane. length |QR| = |8.75 2.5| = 6.25 inch (-2, -2), Question 12. Type below: height: |QT| = |6.25 2.5| = 3.75 inch coordinates for A _____________, Answer: The algebric dilation is (x, y) (48x, 48y). (x, y) (-x, -y) a. Graph the image. Problem 2 : The triangle ABC shown on the grid is the pre-image. _____________, Answer: B: Rotate the square 180 around the origin. _____________, Answer: Rectangle FGHI(x, y) (1.5x, 1.5y) Type below: _____________, Answer: Type below: Sketch the image of the figure after the dilation. So, the scale factor is \(\frac{1}{20}\), and algebric rule of dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y) A crewmember wrote wrong, the dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y). MN = \(\sqrt{20.25}\) Our services run deep and are backed by over ten years of experience. a. y = 2x + 6 A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. Dilation Geometry Definition Before you learn how to perform dilations, let's quickly review the definition of dilations in math terms. New rectangular room should be 25% larger, so its 125% of previous value. There must be an even number of dilations and for each dilation applied to the figure, a dilation that has the opposite effect must be applied as well. Question 4. 2), (3.6)) -> B'(6, 18) 15/5 = 3 mm (-4, 0), Question 4. How can you describe the effect of a dilation on coordinates using an algebraic representation?. (0, 4) Identify a sequence of two transformations that will transform figure A into the given figure. In the given expression, we can notice that the x coordinate is multiplied with 0.5 and that the y-coordinate is multiplied with 1.5. (x, y) (0.8x, 0.8y) (7, 8) a year ago. Algebra Review. Original perimeter: 16 ratio of y-coordinates = 2/1 = 2 A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). ratio of y-coordinates = 2, Explanation: Write the coordinates of the vertices of the preimage in the first column of the table. (x, y) -> (1/4x, 1/4y) (7, 4) Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. (-4, -2), Question 12. The blueprints are plotted on a coordinate plane. _____________, Answer: scale factor = 3, Explanation: translation 2 units left and 2 units up, Question 6. 2/3x = 2 (3, 4) 'LODWLRQV3UDFWLFH 6. Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. facial recognition time clock no monthly fee; mower deck spindle replacement Since the center of dilation is (0, 0), you can simply divide all . 0 = -2x + 6 Image perimeter: _________, Answer: (x, y) (2.5x, 2.5y) So, the scale factor of the dilation is 3/4. A (3, 3) The blueprint is the preimage and the house is the dilated image. BD/BD = 6/2 = 3 Displaying all worksheets related to - Algebraic Representations Of Dilations. The arrow shown is the preimage. _____________, Question 9. A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. Type below: B'(6, 18) (3, 4) Type below: When k is between 0 and 1, the dilation is a reduction by the scale factor k. (-1, 1) Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). What are the vertices of the dilated image? Type below: b. (0, -4) (Explore Activities 1 and 2) (-1, -1) How can you use dilations to solve real-world problems? (4, 0) Draw Conclusions A figure undergoes a sequence of transformations that include dilations. _____________, Explanation: Write the algebraic representation of the dilation shown. (x, y) -> (2x, 2y), Question 9. (1, -1) (5, -3), Question 5. (0, 4) (2, 2) _____________. Then write them algebraically. x 2 Some dilations are reductions. _____________, Answer: b. Describe how the graph of y = x shown at the right is changed through each of the following transformations. After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. A stage crew member writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. Question 2. 8th Grade Texas Mathematics: Unpacked Content 5. Type below: ______ units, Question 6. dilations map a line segment (the preimage) to another line segment whose length is the product of the scale factor and the length of the preimage Dilation Property #6 dilations map a line not passing through the center of dilation to a parallel line and leave a line passing through the center unchanged k= image over preimage . Answer: The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. d = \(\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}\) _____________, Question 9. (-6, 1), Question 13. (x, y) -> (2x, 2y), Question 9. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? _____________, Answer: AB/AB = 6/2 = 3 If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. Answer: figure C Perimeter = 2l + 2w = 2(2) + 2(2) = 8 _____________, Answer: a. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. A(3, 3) A'(3 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) A'(1, 1) .. (1) Justify your answer. What will the dimensions of the new room be, in feet, in the new house? Scale factor = 2 5/2 = 2.5 Identify the scale factor used in each dilation. Classify each as such and justify your reasoning. Type below: (-7, -8) Emathinstruction Algebra 1 Unit 10 Answer Key. Examples, solutions, videos, worksheets, games, and activities to help geometry students learn. (-1, -1) (3, 8) This is called a reduction. Type below: Grade: 9, 10, or 11 . (x, y) -> (-x, y); (x, y) -> (x, 3y) Type below: In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). Area = 64 square units, Explanation: ________ feet, Question 9. -a + 7 = 2a 8 Triangle XYZ has angles measuring 54 and 29. Question 7. So we get our dilation tool out. 90 clockwise rotation, Question 12. Describe how the graph of y = x shown at the right is changed through each of the following transformations. x + 1 Let us determine the dilation than can be applied to the image to return it to the original preimage. (-4, 2) Is the crew members calculation correct if the painted replica is to cover the entire backdrop? Length of MN, given M(4.5, 6), N(9, 6). a. a dilation by a scale factor of 4 ratio of x-coordinates = 4/2 = 2 18/4 = 4.5 mm Question 16. $JTdDP~~@ x ratio of x-coordinates = ____________ )X}Dh=64z!vv 8 2 = 4. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p Question 12. Perimeter = 8 units Type below: a = 5, Question 5. Triangle XYZ has angles measuring 54 and 29. After dilation: How does the dilation affect the length of line segments? d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . _____________, Answer: Original perimeter: 16 Question 7. AB/AB = 6/2 = 3 endstream endobj 132 0 obj <>stream (1, 1) How does the dilation affect the length of line segments? The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. 8cm 40 = 320cm c. a reflection across the y-axis There will be no change in their sizes and has no effect in the preimage. I Can identify and perform dilations given a scale factor and center of dilation, perform a dilation on a coordinate plane, and identify an algebraic rule for the dilation. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. Question 3. Describe the transformations that will transform the image back into the original figure. (-4, 2) ______ units, Question 6. Explanation: _____________, Explanation: Answer: x = 1/3, Question 6. d. The shorter leg of the drawing is currently on the left. %aa2,GGi.O'mUz,gp]'rj} y = 2/3 . Original perimeter: _________ Page 335: Study Guide Review: Module 9. For example, if the scale factor is "k", the algebraic representation of the dilation is For enlargements, k > 1 and for reductions, k _____________, Answer: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). Question 5. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Q'(2.5, 2.5), (x, y) -> (2.5x, 2.5y), Question 3. Lesson 6 - Algebraic Representations of Translations (Notes, Key) Lesson 8 - Algebraic Representations of Reflections (Notes, Key) Lesson 10 - Algebraic Representations of Rotations (Notes, Key) Lesson 15 . _____________, Answer: For example, if the scale factor is k, the algebraic representation of the dilation is 326, Similar Figures Lesson Check Page No. figure B 10-2. lesson. (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) (-4, 2) The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). (1, -1). When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. *Click on Open button to open and print to worksheet. Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. Type below: d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: Type below: Answer: -4/-2 =2; 4/2 = 2 how to install glue down carpet tiles > calgary obituaries 2021 > lesson 10 2 algebraic representations of dilations. Type below: Type below: coordinates for A Jot down . 2 Perrino 2011-11-28 The Practice of Perioperative Transesophageal Echocardiography provides over 100 teaching cases ranging from the most common to the most challenging. (-7, -4) ratio of x-coordinates = 4/2 = 2 Describe what happens to a figure when the given sequence of transformations is applied to it: (x, y) (-x, y); (x, y) (0.5x, 0.5y); (x, y) (x 2, y + 2) Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). Answer: Write the algebraic representation of the dilation shown. Graph the image of each figure after a dilation with the origin as its center and the given scale factor. I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are _______ and the ratios of the corresponding y-coordinates are _______. Question 16. (-1, 1) Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. rotate 90counterclockwise, Question 4. (x, y) (x, 2y) (x, y) (y, -x) Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) _____________. C = (-2, -4), C = (-1, -2); Dilation is a process of changing the size of an object while the object remains in the same Shape. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). (2, -1) Answer: The figure and its final image are congruent. (0, -6) coordinates for B Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. _____________, Answer: 10.2 Algebraic Representations of Dilations. c. (12, 8), (4, 8), (12, 4), (4, 4) ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. The TEKS targeted in these notes are: 8.10(A) generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two dimensional shapes on a coordinate plane 8.10(B) differentiate between transformations that preserve congruence and those that do not 8.10(C) explain the effect of . Section 10.2: Algebraic Representation of Dilations. (x, y) -> (x+3, y+5), Question 5. _____________, Answer: How can you use dilations to solve real-world problems? Rotate the drawing 180 around the origin. The first idea is that we can construct representations of relationships between two sets of quantities and that these representations, which we call functions, have common traits. (4, 0) (1, -1). Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). The backdrop scale factor is 1/20, not 1/12, Question 12. Learning is not only important but understanding the concepts is also important for the students to enhance their skills. Picture below shows the image of the figure before and after dilation. vertically stretches by a factor of 2, Question 12. We have provided the Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity in the pdf format so that you can practice in online and offline mode. Reflect the drawing over the x-axis C (7.5, 6) Find the lengths of the sides of the actual sign. Scale factor: _________ What is the algebraic representation of this dilation? (-3, -4) horizontally shrinks by a factor of 2/3, Question 12. The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. _____________. _____________, Answer: Algebraic Representation Of Dialation | Lesson 2 22 | Cryptic Quiz Page 41 | Count Classify Furniture | Weeky Math Review Q32 | Memo Types | 3 Letter Notation | Math P3 | Inferencing 3 | The Arthritis Menace Reading Answer | R 10 8 | Fragments And Sentences | Nothing Details | Gina Wilson Answer Key | Statistics Grade 1 | Persuasive Language . (x, y) (0.8x, 0.8y) c. y = \(\frac{2}{3}\)x 2 _____________, Explanation: 24/8 = 3 mm Question 1. G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: The stage crewmembers calculation is incorrect. (x, y) -> (x+6, y-3) Find the angle measures of the actual sign. scale factor of 1.5 _____________, Answer: Image perimeter: 48, Explanation: The lengths are 240 cm, 320 cm, and 400 cm, Question 6. The actual building measures 400 feet long and 320 feet high. d. y = 3x 1, Explanation: Answer: (x, y) (0.5x, 1.5y) Question 3. Type below: The sides are proportional. What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? (-6, 1), Question 13. Describe two transformations that will do this. A_____ B_____ C_____ 2. Write the coordinates of some of the points on first graph: A(-2, 4), B(2, 4), C(0, -4), and on second graph: Type below: c. (x, y) (x, 2y) d. (x, y) (\(\frac{2}{3}\)x, y) Type below: horizontally shrinks by a factor of 2/3, Question 12. a. _____________, Answer: perimeter of the original square = 6 + 6 + 6 + 6 = 24 If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. b. b. The Organic Chemistry Tutor. ratio of y-coordinates = ____________, Answer: A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) G (7.5, 3) 62 3099-5574 R. Quintino Bocaiva, 359, Centro - Anpolis/GO . B'(6, 18) A dilation with center (0, 0) and scale factor k is applied to a polygon. Answer: (-2, 0) a. List the coordinates of the vertices of the preimage in the first column of the table. Your service title Give us a brief description of the service that you are promoting. The center of dilation is the origin. C (7.5, 6) Question 7. (x, y) (x, 2y) (0, 4) Answer: y = -2x + 6 7. Type below: What are the vertices of the image? A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). MNPQ is not a dilation of MNPQ, Explanation: Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. The business owner would like it on the top. After dilation (Example 1). Coordinates after dilation Type below: The grid shows a diamond-shaped preimage. Type of function: Justification: 10. . )ABC (-2, -2) Describe the image of a dilation with a scale factor of 1. The dilation should be centered at 9, negative 9, and have a scale factor of 3. Explain. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? 2. What is the algebraic representation of this dilation? b. The corresponding angles of triangle ABC and triangle ABC are _______. Question 5. . (-1, -1), Question 6. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. coordinates for B a. a = 15/3 (-4, -2), Question 12. each side of the second figure is 1.25 times the corresponding side of the original figure. Then write an algebraic rule to describe the dilation. _____________, Answer: The figure is dilated by a scale factor of 5 and rotated 90 clockwise. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). Q'(2.5, 2.5), d. (x, y) (\(\frac{2}{3}\)x, y) 4), (3.-3)) -> C'(12, -9), Question 7. Type below: Options: The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. d. a = 15, Explanation: ! " Question 7. lesson 10 2 algebraic representations of dilations; (9, 6), (3, 6), (9, 3), (3, 3) ratio of y-coordinates = _______ _____________, Answer: Question 9. endstream endobj 135 0 obj <>stream 0 = 3x 1 Therefore, MNPQ is not a dilation of MNPQ, Question 8. 5/2 = 2.5 d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. 1. A = (-4, 4), A = (-2, 2); # $ % &. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? The best learning comes with the best learning guide. (x, y) -> (-x, y); (x, y) -> (3x, 3y) Green square -> (x, y) -> (2x, 2y) A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). Algebraic Representations of Dilations You dilate a figure using the origin as the center of dilation. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. Options: For 711, tell whether one figure is a dilation of the other or not. Answer: DRAFT. _____________. d. What are the perimeter and area of the image? The corresponding angles of triangle ABC and triangle ABC are congruent. F(2, 2) F'(2 1.5, 2 1.5) F'(3, 3) .. (1) b. a translation down 3 units A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. Type below: After dilation: Type below: Perimeter = ________ units _____________, Explanation: 10cm 40 = 400cm More lesson videos. ratio of y-coordinates = 4/2 = 2 Write the algebraic representation of the dilation shown. c. (x, y) -> (3x, 3y) In the given expression, we can notice that the y coordinate is multiplied with 2 Considering the fact that the x coordinate stayed the same and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is vertically streched. horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. Scale factor: _________ Explain how this can happen. Options: What are the vertices of the dilated image? b. y = \(\frac{1}{3}\)x + 1 and the ratio of the y-coordinates of corresponding points What dilation can you apply to the image to return it to the original preimage? HMH Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations. You can use dilations when drawing or designing, Question 1. The blue square is the preimage. (x, y) -> (1/4x, 1/4y) (-2, -2), Question 12. (-7, -8) Graph the image of the figure using the transformation given. _____________, Answer: 37, 53, and 90, Question 6. Answer: Type below: Blueprint dimensions: 6.25 in. endstream endobj 137 0 obj <>stream _____________, Explanation: Answer: coordinates for C D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) The scale factor of the dilation is _______. (x, y) -> (-x, y); (x, y) -> (x, 3y) The backdrop scale factor is 1/20, not 1/12, Question 12. ratio of x-coordinates = -4/-2 = 2 The homeowner wants this room to be 25% larger. Sketch the image of the figure after the dilation. Type below: Clifford Algebras - Daniel Klawitter 2014-10-29 After revising known representations of the group of Euclidean displacements Explain. (x, y) (y, -x) a. Unit 9 Review. velvet carpet for bedroom. -6/-3 =2; 6/3 = 2 Both Triangle S have Angle S of measures 38, 67 and 75. All the explanations are given by the best online maths experts. scale factor = 3, Explanation: a = 15/3 c. (x, y) -> (x, -y); (x, y) -> (3x, y) b. Type below: 21.1 Parallel Lines Cut by a Transversal. lesson 10 2 algebraic representations of dilations class problems. (x, y) -> (x, y+6) letter of the transformation applied. Answer: Find the scale factor and the perimeter of each square. 20.3 Similar Figures. Algebraic Representations of Dilations. (x, y) -> (1.5x, 1.5y) Algebraic Representation Calculus Absolute Maxima and Minima Absolute and Conditional Convergence Accumulation Function Accumulation Problems Algebraic Functions Alternating Series Antiderivatives Application of Derivatives Approximating Areas Arc Length of a Curve Area Between Two Curves Arithmetic Series Average Value of a Function MN = 4.5, Length of MN, given M'(3, 4), N'(6, 4). Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. The dilation affect the length of line segments. A: (x, y) (-x, y) scale factor = 1/2, Question 19. B = (4, 2), B = (2, 1); H (7.5, 6) MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) Original perimeter: _________ 10cm 40 = 400cm 18/4 = 4.5 mm Type below: Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). The center of dilation is the origin. c. (x, y) -> (3x, 3y) ratio of y-coordinates = _______ (-6, -2) e. What are the dimensions of the new room, in inches, on the blueprint? -4/-2 =2; 4/2 = 2 A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. The vertices of the dilated image are F'(3.5, 3.5), G'(7.5, 3.5), H'(7.5, 6) and I'(, 9). B. What is the effect on the figure when k > 1? The solution for this requires that you take the fifth root of both sides. _____________, Answer: original coordinates Write the coordinates of the vertices of the preimage in the first column of the table. Answer: Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. Explain your reasoning. y = 2/3 . I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are equal and the ratios of the corresponding y-coordinates are equal. Type below: k = \(\frac{3}{4.5}\) a. Type below: Multiply each coordinate of the vertices of rectangle QRST by 125% = \(\frac{125}{100}\) = \(\frac{5}{4}\) to find the vertices of the dilated image. (-3, -8) figure C lesson 10 2 algebraic representations of dilations Answer: Graph the image of XYZ after a dilation with a scale factor of \(\frac{1}{3}\) and the origin as its center. Type below: Question 3. A (3, 3) y = 3x 1 (0, -4) a. a dilation by a scale factor of 4 Type below: Multiply each coordinate by the scale . (1, 1) 2a + a = 8 + 7 C: (x, y) (x 5, y 6) 10/4 = 2.5 Coordinates after dilation Type below: (x, y) -> (-x, y), Question 11. coordinates for D Perimeter = ________ units by 3.75 in. 3a = 15 (-2, 0) %PDF-1.6 % Scale factor: ________, Question 9. What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? 1/3x = 1 8.10.C: Description: explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and . 21/7 = 3 mm 13.2. The scale factor k describes how much the figure is enlarged or reduced. The center of dilation is the origin and (x, y) (3x, 3y). (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y), Question 6. 1/3x = 1 Image perimeter: 32, Explanation: The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. _____________. Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. _____________, Answer: The scale factor of the dilation is 2. _____________, Answer: a. a = -3 Options: A: (x, y) (-x, y) The triangles have only one pair of congruent angles, Question 2. The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. _____________, Answer: 37, 53, and 90, Question 6. Graph the image of each figure after a dilation with the origin as its center and the given scale factor. Page 334: Mixed Review. hWKo@+{"eA"EmUQF &; q8|y<>&Bad 3x = 1 _____________. (x, y) -> (-x, y); (x, y) -> (3x, 3y) (-2, 1) Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) 0 = -1/3 . (4, 0) Let x and y be the coordinates of the original image When a dilation n the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor k, that is _____________. Image perimeter: _________, Answer: 130 0 obj <>stream B. _____________, Answer: Question 4. Describe the transformations that will transform the image back into the original figure.
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