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LESSON 10-2 . Find the scale factor and the perimeter of each square. ratio of x-coordinates = ____________ 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. A: (x, y) (-x, y) A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). Write the coordinates of the vertices of the preimage in the first column of the table. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). The homeowner wants this room to be 25% larger. ratio of y-coordinates = 4/2 = 2 Question 2. _____________, Answer: The dilation should be centered at 9, negative 9, and have a scale factor of 3. c. (x, y) (x, 2y) C = (-2, -4), C = (-1, -2); Miultiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. _____________, Answer: F (3, 3) Answer: horizontally shrinks by a factor of 2/3, Question 12. 2x = 6 When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. (x, y) (y, -x) 10.2 Algebraic Representations of Dilations. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. y = -1/3 . (x, y) (y, -x) c. y = \(\frac{2}{3}\)x 2 Write the algebraic representation of the dilation shown. Type below: (9, 6), (3, 6), (9, 3), (3, 3) Since it changes the size of a figure, it has no something to do with the changes when it comes to the angles of the image. Question 16. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) So, the scale factor is \(\frac{1}{20}\), and algebric rule of dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y) 66`! S0\WbgU`U`6$ &m. 2), (3.6)) -> B'(6, 18) _____________, Answer: The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Q'(2.5, 2.5), Divide a side length of the dilated figure by the corresponding side length of the original figure. What is the effect on the figure when k > 1? Answer: How can you find the scale factor of a dilation? (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. _____________, Answer: (5, -3), Question 5. (x, y) -> (1.5x, 1.5y) Lesson 2: 20.2 Algebraic Representations of Dilations. _____________, Answer: When k is between 0 and 1, the dilation is a reduction by the scale factor k. 8th grade. _____________, Answer: _____________, Answer: c. The drawing has the hypotenuse on the bottom. Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. Explain how this can happen. 0 = 3x 1 C (7.5, 6) Answer: (3, 2), (1, 2), (3, 1), (1, 1) (x, y) (-x, -y) (-4, 3) x + 1 _____________, Answer: Explain. A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). endstream endobj 137 0 obj <>stream 3a = 15 For 711, tell whether one figure is a dilation of the other or not. The arrow shown is the preimage. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. (x, y) (\(\frac{2}{3}\)x, y) area = l.w = 8 .8 = 64, Question 6. c. (x, y) -> (3x, 3y) Type below: (-6, -1) Question 2. Options: Find the angle measures of the actual sign. The triangle ABC shown on the grid is the pre-image. (x, y) -> (1/3x, 1/3y), Question 8. The figure is dilated by a scale factor of 5 and rotated 90 clockwise. After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. Mathematics. Type below: _____________, Explanation: A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). (-2, 1) k = \(\frac{M^{\prime} N^{\prime}}{M N}\) Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. (0, -6) Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. a. a = -3 0 = -1/3 . coordinates for B So, the corresponding S are congruent. Filled table is shown in the picture below. d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. (x, y) (0.5x, 1.5y) (x, y) -> (x +5, y-6), Question 3. Type below: (-4, 3) Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and begin your practice. Type below: Some dilations are reductions. x 2 Options: The center of dilation is the origin. (x, y) -> (-x, y); (x, y) -> (x, 3y) (5, -3), Question 5. -a + 7 = 2a 8 Coordinates after dilation A (0, 4), B (0, 0), C (5, 0) 2. G (7.5, 3) Graphical features of functions, including maximums, minimums, intervals of increase and decrease along with domain and range are introduced. A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Question 3. All the explanations are given by the best maths experts. Then write an algebraic rule to describe the dilation. The actual building measures 400 feet long and 320 feet high. Scale factor: 2 _____________, Answer: Make a Conjecture The blueprints are plotted on a coordinate plane. Write the coordinates of some of the points on first graph: A(-2, 4), B(2, 4), C(0, -4), and on second graph: Question 5. e. What are the dimensions of the new room, in inches, on the blueprint? Answer: Explain. Perimeter = 8 units scale factor = 3, Explanation: What is the length of a side of the image? Blueprint dimensions: 6.25 in. Type below: a. k = \(\frac{3}{4.5}\) Edit. h2S0PP02]KsSJ Tu! Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. 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. -4/-2 =2; 4/2 = 2 The students of 8th standard can easily learn maths with the Go Math Solution Key on ccssmathanswers.com, Lesson 2: Algebraic Representations of Dilations, Question 1. (x, y) -> (x+3, y+5), Question 5. Type below: Worksheets are Lodwlrqv3udfwlfh, Do not edit changes must be made through file info, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, Pre algebra, Lesson algebraic representations of transformations 9 4, Translations of shapes, Trainerinstructor notes . Let us determine the dilation than can be applied to the image to return it to the original preimage. D. Sketch the image after the dilation on the coordinate grid. Type below: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. 10.2 Algebraic Representation of Dilation - YouTube 8th grade go math 8th grade go math AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow YouTube. Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. When taking . d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. The lengths are 240 cm, 320 cm, and 400 cm, Question 6. House dimensions: 25ft by 15ft, Question 10. Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. c. a = 5 (-6, -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 . What is the scale factor in terms of inches to inches? The square is dilated under the dilation (x, y) (0.25x, 0.25y). Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . (1, 1) x 2 Determine whether one figure is a dilation of the other. Type below: x = 3 18/4 = 4.5 mm 10.2 Algebraic Representations of Dilations. (-1, 1) a. The scale factor of the dilation is _______. 320, Algebraic Representations of Dilations Page No. endstream endobj 136 0 obj <>stream Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. a. a = -3 a. Type below: B = (4, 2), B = (2, 1); The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. _____________, Answer: Type below: (7, 4) 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. So, the scale factor of the dilation is 3/4. y = 3x 1 (0, -4) ratio of y-coordinates = 2, Explanation: Explanation: Question 4. After the sequencing of transformations, reflection over the y-axis. (-1, -1), Question 6. The image is congruent to the original figure. original coordinates b. In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. Original perimeter: _________ The dimension of a new room on a blueprint is now: After dilation MN = \(\sqrt{(3)^{2}+(0)^{2}}\) I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. Coordinates after dilation a. Perimeter = ________ units 20.2 Algebraic Representations of Dilations. h24T0P044P06R 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. NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. T'(2.5, 6.25), Question 9. The scale factor of the dilation is 2. endstream endobj 134 0 obj <>stream Solve a + 7 = 2a 8. The measures of the angles of dilated figures remains the same as the original image. MN = \(\sqrt{9}\) _____________, Explanation: 8cm 40 = 320cm AB/AB = 2/4 = 1/2 Answer: Identify a sequence of two transformations that will transform figure A into the given figure. Answer: b. 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. The business owner wants it to remain on the left after the hypotenuse goes to the top. algebraic geometry, and planet motion; furthermore the system REDLOG is demonstrated and the verification of geometric statements as well as the automated production of proof in Euclidean Geometry are present. The scale factor of the dilation is 2. x = 3 (x, y) -> (1/4x, 1/4y) Type below: (9, 6), (3, 6), (9, 3), (3, 3) Explanation: Options: (x, y) (0.8x, 0.8y) a. Graph the image. 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. Notes. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). Answer: Dilation is a process of changing the size of an object while the object remains in the same Shape. Reflection over x-axis (x, y) -> (x, -y) B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) a. y = 2x + 6 Section 10.3: Similar Figures. Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. how to install glue down carpet tiles > calgary obituaries 2021 > lesson 10 2 algebraic representations of dilations. B. b. . _____________, Answer: _____________, Explanation: The figure is reflected across the y-axis and dilated by a scale factor of 4. C'(12, -9), Explanation:
