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: _____________, Explanation: perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. _____________, Answer: Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. 2a + a = 8 + 7 Type below: Reflection over x-axis (x, y) -> (x, -y) Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). Write the algebraic representation of the dilation shown. (-1, 1) The corresponding angles of triangle ABC and triangle ABC are _______. _____________, Answer: 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. algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. _____________, Answer: _____________. (x, y) -> (1/4x, 1/4y) This is called a reduction. MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) x + 1 A (3, 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 . Blueprint dimensions: 6.25 in. 21/7 = 3 mm Answer: S'(8.75, 6.25), A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). 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: (x, y) (-x, -y) House dimensions: 25ft by 15ft, Question 10. B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) Question 2. A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Notes. scale factor of 1.5 The stage crewmembers calculation is incorrect. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). (-4, 2) The actual building measures 400 feet long and 320 feet high. b. a = \(\frac{1}{3}\) scale factor of \(\frac{1}{3}\) Type below: _____________, Answer: length |QR| = |8.75 2.5| = 6.25 inch 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. 10.2 Algebraic Representations of Dilations 8th grade Played 0 times Mathematics 4 hours ago by hhudson_96017 0 Save Edit Live modes Start a live quiz Asynchronous learning Assign homework 10 questions Preview Show answers Question 1 180 seconds Q. Dilate the figure by a scale factor of 3 with the origin as the center of dilation. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. 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. Rectangle FGHI(x, y) (1.5x, 1.5y) How many feet? (x, y) -> (2x, 2y), Question 9. The blueprint is the preimage and the house is the dilated image. Slideshow 9531631 by helencorman B (7.5, 3) Mathematics. Explanation: b. Perimeter = ________ units Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. (-6, -2) _____________. 21.2 Angle Theorems for Triangles. a. Graph the image. _____________, Answer: Type below: Sketch triangle ABC and ABC for the dilation (x, y) (-2x, 2y). The business owner would like it on the top. 1/3x = 1 Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. Type below: Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. Save or instantly send your ready documents. _____________, Answer: Type below: (x, y) -> (2.5x, 2.5y), Question 3. Triangle RST has angles measuring 67 and 38. _____________, Explanation: 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) Type below: _____________, Answer: Answer: _____________, Answer: 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. ________. (x, y) -> (1/5x, 1/5y), Question 10. The grid shows a diamond-shaped preimage. The center of dilation is the origin and (x, y) (3x, 3y). -6/-3 =2; 6/3 = 2 The figure is reflected across the y-axis and dilated by a scale factor of 4. After the sequencing of transformations, reflection over the y-axis. _____________, Answer: dilation with a scale factor of 0.5 d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. (-4, -2), Question 12. When k is between 0 and 1, the dilation is a reduction by the scale factor k. b. Lesson 13.2 Algebraic Representations of Dilations; Lesson 13.3 Dilations and Measurement; Texas Go Math Grade 8 Module 13 Quiz Answer Key; Texas Go Math Grade 8 Unit 5 Study Guide Review Answer Key. (-2.5, 2.5) ! " Answer: On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). 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) _____________, Answer: The scale factor of the dilation is _______. ratio of x-coordinates = -2/-1 = 2 11,201. Determine whether the given representation is representative of a linear, exponential, or quadratic function. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). ________ feet, Question 9. endstream endobj 136 0 obj <>stream Dilation is a process of changing the size of an object while the object remains in the same Shape. (-4, 2) Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). 6cm 40 = 240cm Find the lengths of the sides of the actual sign. The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. endstream endobj 135 0 obj <>stream original coordinates Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Lesson algebraic representations of transformations 9 4, Do not edit changes must be made through file info, Pre algebra, Graph the image of the figure using the transformation, Ixl skill alignment, Unit . The scale factor of the dilation is _______. Section 10.3: Similar Figures. A = (-4, 4), A = (-2, 2); x = 3 The dilation should be centered at 9, negative 9, and have a scale factor of 3. d. What are the perimeter and area of the image? (-2, 0) 'LODWLRQV3UDFWLFH 6. Write the algebraic representation of the dilation shown. Type below: _____________, Answer: _____________, Explanation: The center of dilation is the origin and (x, y) (3x, 3y). AB/AB = 6/2 = 3 A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. 3a = 15 Find the angle measures of the actual sign. 325, Algebraic Representations of Dilations Lesson Check Page No. Which represents the dilation shown where the black figure is the preimage? b. (-4, -2) _____________. x 2 Coordinates after dilation If you want to learn the best way of solving maths, students can immediately start their practice with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. Q'(2.5, 2.5), Algebraic Representations of Dilations - 2. Then write them algebraically. MNPQ is not a dilation of MNPQ, Explanation: Question 4. Type below: Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. (7, 8) Since the center of dilation is (0, 0), you can simply divide all . Each case is succinctly presented in an easy-to-read question-answer, self-test format comprised of three printed pages of text and echo images. Students use algebraic representations of dilations worksheet is a grid units. 2), (3.6)) -> B'(6, 18) 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 angle measures are the same Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. Question 5. Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. ratio of y-coordinates = -4/-2 = 2, Question 2. 18/4 = 4.5 mm Type below: Examples, solutions, videos, worksheets, games, and activities to help geometry students learn. k = \(\frac{M^{\prime} N^{\prime}}{M N}\) 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. If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. f& Download Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity pdf for free of cost. (5, -3), Question 5. This standard connects the work done with algebraic functions in grade 8 and Algebra I to geometric functions. Q'(2.5, 2.5), The blue square ABCD is the preimage. Which equation does not represent a line with an x-intercept of 3? 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. Eureka Math Algebra 1 Module 2 Lesson 1 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 2 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 3 Answer Key . T'(2.5, 6.25), Question 9. Orientation of the figure in the coordinate plane is rotated 180. 2x = 6 Firstly, we will write the coordinates of the vertices of the preimage. ratio of x-coordinates = -4/-2 = 2 Which transformation in part c will accomplish this?
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