View this Page Math 7 Accelerated - Computech Mathematics https://darthmuster.com/math-7-accelerated/ Transformation and Similarity, 20.1 Properties of Dilations 20.2 Algebraic Representations of Dilations 20.3 Similar Figures. _____________. Answer: Type below: In the given expression, we can notice that both coordinates changed its sign Considering the fact that positive and negative parts of both axis are spaced 180 apart, we can conclude that the algebraic transformation rotated a figure for 180. The blueprint is the preimage and the house is the dilated image. Image perimeter: _________, Answer: 8th grade. Area = 64 square units, Explanation: When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. ________ inches I (3, 6) a = 15/3 $JTdDP~~@ x T'(2.5, 6.25), Question 9. x + 1 _____________, Answer: c. (x, y) (x, 2y) (x, y) -> (x+6, y-3) and find the ratio of heigh: \(\frac{16}{320}\) = \(\frac{1}{20}\) Answer: (0, -4) Type below: original coordinates scale factor = 1/2, Question 19. The figure and its final image are congruent. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? lesson 10 2 algebraic representations of dilations. 0 = 2/3 . 21/7 = 3 mm If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. Type below: Rectangle FGHI(x, y) (1.5x, 1.5y) x + 1 A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? Find the scale factor and the perimeter of each square. Type below: a. Coordinates after dilation Type below: [GET] Lesson 10.2 Practice B Geometry Answers Pages 603-611 A 4 B 5 C 5.62 D 6.31 E 5.83 8. Answer: x = 3 algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. (-3, -8) _____________. The center of dilation is the origin and (x, y) (3x, 3y). a. y = 2x + 6 Edit. Picture below shows the image of the figure before and after dilation. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. 325. . coordinates for A The actual building measures 400 feet long and 320 feet high. (5, 5) e. What are the dimensions of the new room, in inches, on the blueprint? C'(12, -9), Explanation: The sides are proportional. b. In this unit we review the basic concept of a function and emphasize multiple representations of these foundational tools. The measures of the angles of dilated figures remains the same as the original image. h2U0P62 24Ey%!E c. (12, 8), (4, 8), (12, 4), (4, 4) What will the dimensions of the new room be, in feet, in the new house? 146 practice pages that can be used as year-long:Cool-downs or homeworkUnit 1 - 14 lessonsUnit 2 - 22 lessons Unit 3 - 29 lessonsUnit 4 - 23 lessonsUnit 5 - 14 lessonsUnit 6 - 17 lessonsUnit 7 - 17 lessonsUnit 8 - 10 lessons38 AssessmentsUnit 1 . Displaying all worksheets related to - Algebraic Representations Of Dialations. horizontally shrinks by a factor of 2/3, Question 12. Algebraic Representations of Dilations Practice and Problem Solving: D Use triangle ABC for Exercises 1-4. Original perimeter: _________ Area = ________ square units, Answer: (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. Type below: (-5, 0) (Example 1). 11,201. scale factor = 3, Explanation: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. 2 = 4. B. Properties of Dilations Lesson Check Page No. Write the algebraic representation of the dilation shown. So, the corresponding S are congruent. Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. How does the dilation affect the length of line segments? Options: F (3, 3) The Go Math Grade 8 Solution Key Chapter 10 Transformations and Similarity help the students to enhance their math skills. (-3, -4) 24/8 = 3 mm A: (x, y) (-x, y) (x, y) -> (-y, x) 4. Critical Thinking MNOP has vertices at M'(3, 4), N'(6, 4), O'(6, 7), and P'(3, 7). Type below: For 711, tell whether one figure is a dilation of the other or not. y = 3x 1 AB/AB = 2/4 = 1/2 c. What are the perimeter and area of the preimage? Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). Scale factor: _________ -a + 7 = 2a 8 What is the length of a side of the image? The first one is done for you. Explain how this can happen. Type below: Let us determine the dilation than can be applied to the image to return it to the original preimage. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . coordinates for A Question 3. B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) What is Dilation? The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. _____________, Answer: Justify your answer. _____________, Answer: cfelg. ________ inches (-2, 0) (x, y) (0.5x, 1.5y) _____________, Answer: Which represents the dilation shown where the black figure is the preimage? d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: Answer: A: (x, y) (-x, y) But before this, let us soLve first the length of one side of the dilated image and the corresponding length of the originaL image using the distance formula You can use dilations when drawing or designing, Question 1. The blueprints are plotted on a coordinate plane. Considering the fact that the y coordinate stayed the same and the fact that x coordinate is multiplied with a number smaller then 1, we can conclude that given figure is horizontally shrinked. Type below: B = (4, 2), B = (2, 1); (3, 8) Algebraic Representations Of Dialations Worksheets - total of 8 printable worksheets available for this concept. each side of the second figure is 1.25 times the corresponding side of the original figure. The scale factor k describes how much the figure is enlarged or reduced. (4, 0) perimeter of the original square = 4 + 4 + 4 + 4 = 16 Answer: _____________, Question 12. (0, -4) How does the dilation affect the length of line segments? Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. Type below: Apply the indicated sequence of transformations to the square. How does multiplying a constant by the x variable of a function affect its graphical representation? One inch on the blueprint represents how many inches in the actual house? -6/-3 =2; 6/3 = 2 _____________, Answer: _____________, Answer: endstream endobj 132 0 obj <>stream What is the scale factor in terms of inches to inches? Then write an algebraic rule to describe the dilation. Area = 4 square units, Explanation: dilation by scale factor of 3 (x, y) -> (3x, 3y) BD/BD = 6/2 = 3 c. a reflection across the y-axis (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) scale factor of 1.5 Explanation: 0 = -1/3 . Mod 20-2.mp4. The triangles have only one pair of congruent angles, Question 2. (-2, 1) Your service title Give us a brief description of the service that you are promoting. (7, 8) Question 12. _____________, Answer: _____________, Answer: x = 2 . each side of the second figure is 1.25 times the corresponding side of the original figure. _____________. (-2, 0) algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. Find the scale factor and the perimeter of each square. 320, Algebraic Representations of Dilations Page No. Type below: The grid shows a diamond-shaped preimage. This is a bundle of all first grade Illustrative Math-Friendly Units 1-8. This is called a reduction. Then write an algebraic rule to describe the dilation. a = 5, Question 5. _____________, Explanation: 0. Look at the coordinates of corresponding vertices. (-2, 2) So, the scale factor is \(\frac{1}{20}\), and algebric rule of dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y) _____________, Answer: 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) 0 = 3x 1 After dilation Mathematics. C (7.5, 6) All the explanations are given by the best online maths experts. Type below: B'((3. translation 2 units left and 2 units up, Question 6. AB/AB = 6/2 = 3 translation 2 units left and 2 units up, Question 6. 0 = -1/3 . Find the lengths of the sides of the actual sign. Type below: _____________, Explanation: Answer: Dilation is a process of changing the size of an object while the object remains in the same Shape. A_____ B_____ C_____ 2. The stage crewmembers calculation is incorrect. lesson 10 2 algebraic representations of dilations. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). (0, -4) *Click on Open button to open and print to worksheet. In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). x 2 coordinates for B Scale factor = 2 Explain how this can happen. Which transformation in part c will accomplish this? Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. Echocardiography technique, The blue square is the preimage. View this Page Answer: 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 Identify the scale factor used in each dilation. Which equation does not represent a line with an x-intercept of 3? 13.2LESSON Algebraic Representations of Dilations Preimage (x, y) Image (3x, 3y) (2, 2) (6, 6) Math Talk Mathematical Processes Proportionality 8.3.C Use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of . Type below: Type below: algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. Explain your reasoning. ratio of y-coordinates = _______ Type below: c. (x, y) (x, 2y) by 3.75 in. LJKG i 80`- wMK0,7 {1L`j7 Fi@W_w ~H; po0]uWuvGG]nB\9LgxG:1~}_ G Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. Type below: _____________, Explanation: R'(8.75, 2.5), 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. (-4, 2) Give the coordinates of each vertex of ABC. a. Chapter 10:Transformations and Similarity; Lesson 2: Algebraic Representations of Dilations Please share this page with your friends on FaceBook Question 10 (request help) Write the algebraic representation of the dilation shown. _____________, Explanation: C: (x, y) (x 5, y 6) Is the crew members calculation correct if the painted replica is to cover the entire backdrop? _____________, Explanation: (0, 4) Explanation A: (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). Answer: What dilation can you apply to the image to return it to the original preimage? The figure shown on the grid is the preimage. Scale factor: ________, Question 9. Firstly, we will write the coordinates of the vertices of the preimage. Question 2. Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Section 10.2: Algebraic Representation of Dilations. The image is congruent to the original figure. scale factor of \(\frac{1}{3}\) A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) 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. What is the effect of a negative scale factor? Type below: Orientation of the figure in the coordinate plane is rotated 180. BD/BD = 6/2 = 3 How many feet? Question 7. 2/3x = 2 Two triangles, Triangle 1 and Triangle 2, are similar. H (7.5, 6) (x, y) -> (x, y+6) k = \(\frac{3}{4.5}\) Describe the transformations that will transform the image back into the original figure. For example, if the scale factor is k, the algebraic representation of the dilation is If the dilation produce a larger figure the line segments of the dilated figure is longer than the original figure Also, if the dilation produce a smaller figure, the line segments of the dilated figure is smaller than the original figure. (-4, 4) Area = ________ square units, Answer: Type below: What are the vertices of the dilated image? B: Rotate the square 180 around the origin. (-1, -1) _____________, Answer: _____________, Explanation: coordinates for B Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. scale factor of 1.5 What are the coordinates? What is the scale factor for the dilation? (5, -3), Question 5. After dilation: h2S0PP02]KsSJ Tu! d. a = 15, Explanation: The dilation should be centered at 9, negative 9, and have a scale factor of 3. (x, y) (-x, -y) _____________, Answer: The coordinates of the vertices of the original image are multiplied by 2 for the green square. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? Type below: The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. 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 . R'(8.75, 2.5), (-4, -2), Question 12. (0, 4) c. a = 5 algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. MN/MN = 3/4.5 = 2/3 Type below: Solve a + 7 = 2a 8. (2, 2) Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. (7, 4) _____________, Answer: (5, -3), Question 5. Answer: Perimeter = ________ units What is the scale factor in terms of inches to inches? Critique Reasoning The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. original coordinates Triangle XYZ has angles measuring 29 and 92. Type below: coordinates for A velvet carpet for bedroom. (-4, 4) The figure is dilated by a scale factor of 5 and rotated 90 clockwise. Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) Slideshow 9531631 by helencorman The image is congruent to the original figure. _____________, Answer: G7 Math Lesson 10.2 Algebraic Representations of Dilations STUDY Flashcards Learn Write Spell Test PLAY Match Gravity algebraic expression Click card to see definition Click again to see term 1/15 Created by weiennlee TEACHER Terms in this set (15) algebraic expression dilation vertex (plural: vertices) (:vertices) Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? In Exercises 710, the transformation of a figure into its image is described. The grid shows a diamond-shaped preimage. The scale factor of the dilation is _______. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. figure D What is the scale factor for the dilation? (9, 6), (3, 6), (9, 3), (3, 3), Question 2. For enlargements, k > 1. Scale factor: 2 MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) Type below: b. Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. by 3.75 in. Algebra Review. 10cm 40 = 400cm (x, y) -> (2.5x, 2.5y), Question 3. (0, 1) 5/2 = 2.5 A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. C = (-2, -4), C = (-1, -2); The center of dilation is the origin. b. Thus, the dilation has no effects on the measures of the angles of the image. Type below: Green square -> (x, y) -> (2x, 2y) Then write an algebraic rule to describe the dilation. A = (-4, 4), A = (-2, 2); ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. Algebraic Representations of Dilations How can you describe the effect of a dilation on coordinates using an algebraic representation? _____________, Answer: x = 3 Explain. A'(-15, -12) (x, y) -> (-y, x) Grade: 9, 10, or 11 . _____________, Explanation: B (7.5, 3) Type below: Lesson 2: Algebraic Representations of Dilations, Question 1. Which transformation in part c will accomplish this? Answer: Filled table is shown in the picture below. Triangle RST has angles measuring 38 and 75. b. lesson 10 2 algebraic representations of dilations b. Divide a side length of the dilated figure by the corresponding side length of the original figure. Type below: c. (x, y) -> (x, -y); (x, y) -> (3x, y) Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). 324, Algebraic Representations of Dilations Page No. (-2, -2), Question 12. 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 2. 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 . On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). What are the vertices of the dilated image? Rotate the drawing 180 around the origin. MN = \(\sqrt{(3)^{2}+(0)^{2}}\) AB/AB = 2/4 = 1/2 The figure is reflected across the y-axis and dilated by a scale factor of 4. Scale factor: 2 Type below: (1, -1) (x, y) (\(\frac{2}{3}\)x, y) a. a dilation by a scale factor of 4 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? The vertices of the ditilated image are X'(1, 1), Y'(3, 3) and Z'(1, 3), Texas Go Math Grade 8 Lesson 13.2 Guided Practice Answer Key. B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) _____________, Answer: Describe the transformations that will transform the image back into the original figure. Both Triangle S have Angle S of measures 38, 67 and 75. The backdrop scale factor is 1/20, not 1/12, Question 12. Question 2. Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and begin your practice. Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. (x, y) (0.8x, 0.8y) (-5, 0) Lets find the ratio oft: x-coordinates of corresponding points _____________, Answer: A'((3.-15), (3.-12)) -> A'(-15, -12) Type below: c. (x, y) -> (3x, 3y) Answer: _____________, Answer: 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 . 10.2 Algebraic Representations of Dilations. 2a + a = 8 + 7 Area = 64 square units, Explanation: Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: _____________, Answer: -4/-2 =2; 4/2 = 2 Type below: (-6, -1) 2/3x = 2 Apply each transformation to the image of the previous transformation. _____________, Answer: C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Download Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity pdf for free of cost. how to install glue down carpet tiles > calgary obituaries 2021 > lesson 10 2 algebraic representations of dilations. 1. A. rotate 90counterclockwise, Question 4. Scale factor of 1.5 e. (x, y) (0.5x, 1.5y) Perimeter = 8 units 90 clockwise rotation, Question 12. Question 2. (0, -6) lesson 10 2 algebraic representations of dilationsmercedes financial services phone numbermercedes financial services phone number Question 12. At least one transformation must be a dilation with a scale factor other than 1, Question 6. _____________, Answer: Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. _____________, Answer: b. 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. dilation with a scale factor of 0.5 Type below: A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. Complete the table by writing same or changed to compare the image with the original figure in the given transformation. How can you use dilations to solve real-world problems? Perimeter = 2l + 2w = 2(8) + 2(8) = 32 MN = \(\sqrt{(6-3)^{2}+(4-4)^{2}}\) Classify each as such and justify your reasoning. The dilation affect the length of line segments. Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. Type below: _____ Answer: Green square -> (x, y) -> (2x, 2y) 2a + a = 8 + 7 0 = 3x 1 _____________, Answer: 3a = 15 What is the effect on the figure when k > 1? houses for sale chepstow moon and co. shani hardwick wilson obituary Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Write the algebraic representation of the dilation shown. figure B lesson 10 2 algebraic representations of dilations; Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . I can describe what happens when two-dimensional figures are transformed using coordinates. _____________, Answer: Apply each transformation to the image of the previous transformation. 3x = 1 Draw Conclusions A figure undergoes a sequence of transformations that include dilations. Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Perimeter = 2l + 2w = 2(8) + 2(8) = 32 (-2.5, 2.5) Options: Type below: Label each image with the Answer: Length of MN, given M(4.5, 6), N(9, 6). _____________. _____________. This standard connects the work done with algebraic functions in grade 8 and Algebra I to geometric functions. The figure is reflected across the x-axis and dilated by a scale factor of 3. 10.2 Algebraic Representations of Dilations. endstream endobj 137 0 obj <>stream Algebraic Representations of Dilations. a. y = 2x + 6 _____________, Answer: Type below: (x, y) (y, -x) community surgical supply lawsuit; . (Explore Activities 1 and 2) This 8th-grade geometry guided notes and activity bundle is a great way for your students to learn about solving transformations, angle relationships, and 2d views of three-dimensional models! (x, y) -> (x +5, y-6), Question 3. The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. (-4, 2) (-2, 0) (-2, -2), Question 12. Area = ________ square units, Answer: Scale factor: ________, Question 9. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. ratio of y-coordinates = -4/-2 = 2, Question 2. Explanation: d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: (3) Coordinates after dilation What dilation can you apply to the image to return it to the original preimage? _____________, Answer: (0, -4) figure C A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Type below: C'((3. When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. C: (x, y) (x 5, y 6) The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. Explain. 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. The ratios of the lengths of the corresponding sides are not equal. MN = \(\sqrt{20.25}\) 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 . Answer: There will be no change in their sizes and has no effect in the preimage. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. (-1, -1), Question 6. . A(8, 0) A' . Type below: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged. (2, 2) %PDF-1.6 % b. ratio of y-coordinates = 4/2 = 2 d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. _____________, Explanation: Type below: The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. The triangles have only one pair of congruent angles, Question 2. Question 6. The coordinates of the vertices of the original image are multiplied by \(\frac{1}{2}\) for the purple square.