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lesson 10 2 algebraic representations of dilations
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- lesson 10 2 algebraic representations of dilations
c. a = 5 The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. (-4, 3) Dilation is a process of changing the size of an object while the object remains in the same Shape. Original perimeter: _________ The figure is dilated by a scale factor of 5 and rotated 90 clockwise. Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. 10.2 Practice B Answer Key - cismoore.org Reflect the drawing over the x-axis Type below: Green square: (x, y) (2x, 2y) The coordinates of the vertices of the original image are multiplied by _1 2 (x, y) (y, -x) 10.2 Solving Exponential Equations - Intermediate Algebra. Determine whether one figure is a dilation of the other. 23 times. lesson 10 2 algebraic representations of dilations community surgical supply lawsuit; . Type below: b. (x, y) (y, -x) Type below: %PDF-1.6 % Therefore, MNPQ is not a dilation of MNPQ, Question 8. (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) _____________, Answer: A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) The perimeter of the image is the perimeter of the original figure times the scale factor, Question 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 . When k is between 0 and 1, the dilation is a reduction by the scale factor k. T'(2.5, 6.25), Question 9. A_____ B_____ C_____ 2. MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. _____________, Answer: Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. For example, if the scale factor is "k", the algebraic representation of the dilation is For enlargements, k > 1 and for reductions, k (x, y) (0.8x, 0.8y) I can describe what happens when two-dimensional figures are transformed using coordinates. e. (x, y) (0.5x, 1.5y) After dilation: c. a reflection across the y-axis Answer: Type below: (x, y) -> (2x, 2y), Question 9. a dilation produces an image similar to the original figure, Question 10. (-4, 2) B (7.5, 3) Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). 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. x + 1 The ratios of the lengths of the corresponding sides are not equal. _____________, Answer: Type below: Original perimeter: 24 Answer: For scale factors between 0 and 1, the image is smaller than the preimage. Mod 20-2 Class Problems. Answer: Type below: _____________, Answer: (1, 1) I (3, 6) R'(8.75, 2.5), _____________, Answer: A'((3.-15), (3.-12)) -> A'(-15, -12) (-4, -2), Question 12. a. ratio of y-coordinates = 2/1 = 2 6cm 40 = 240cm The business owner would like it on the top. d. (x, y) -> (6x, 6y), Explanation: (7, 8) _____________, Answer: Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. The sides are proportional. Triangle XYZ has angles measuring 29 and 92. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. (3, 4) How many feet? A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). Go Math! Middle School Grade 8 - 1st Edition - Quizlet (2x, 2y) 5. F (3, 3) _____________. ________. ratio of y-coordinates = ____________, Answer: The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. 332, 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. _____________. x = 3 (x, y) (2.5x, 2.5y) (x, y) -> (1/3x, 1/3y), Question 8. 1/3x = 1 https://www.emathinstruction.com . Image perimeter: 32, Explanation: (5, 5) (x, y) -> (-x, y); (x, y) -> (x, 3y) _____________, Answer: (-6, 1), Question 13. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. Type below: The business owner would like it on the top. 2), (3.6)) -> B'(6, 18) The lengths are 240 cm, 320 cm, and 400 cm, Question 6. (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). Solve a + 7 = 2a 8. ratio of x-coordinates = _______ c. The drawing has the hypotenuse on the bottom. (-2, 0) Thus, the dilation has no effects on the measures of the angles of the image. ! " The corresponding angles of triangle ABC and triangle ABC are congruent. (-1, -1) B. What are the vertices of the dilated image? a = 5, Question 5. x 2 The triangle ABC shown on the grid is the pre-image. original coordinates The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). (-6, 1), Question 13. Filled table is shown in the picture below. A(0, 8), B(0, 0), C(10, 0) 3. How many feet? B: Rotate the square 180 around the origin. OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). Type below: The blue square is the preimage. 326, Similar Figures Lesson Check Page No. lesson-11.1-dilations-answer-key on Eisenhower Matrix Task Board D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) _____________, Answer: 2/3x = 2 (7, 4) Problem 2 : The triangle ABC shown on the grid is the pre-image. Algebraic Representation Of Dialation Worksheets - Learny Kids _____________. Scale factor: 2 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) Question 3. horizontally shrinks by a factor of 2/3, Question 12. scale factor of \(\frac{1}{3}\) 10cm 40 = 400cm What is the effect on the figure when k > 1? Algebraic Representations of Dilations. B'((3. dilation with a scale factor of 0.5 _____________, Answer: At least one transformation must be a dilation with a scale factor other than 1, Question 6. 10.2 Algebraic Representations of Dilations. (-4, 2) _____________, Answer: (-4, 4) S'(8.75, 6.25), Apply each transformation to the image of the previous transformation. The actual building measures 400 feet long and 320 feet high. Write the coordinates of the vertices of the preimage in the first column of the table. Question 4. a. a dilation by a scale factor of 4 To calculate the verticies of the image after dilation, we will use following rule: 0 = -2x + 6 Question 5. Algebraic Representations Of Dilations - Lesson Worksheets Which represents the dilation shown where the black figure is the preimage? Explain your reasoning. Algebraic Representation Of Dialation - Teacher Worksheets (x, y) -> (1/3x, 1/3y), Question 8. Grade: 9, 10, or 11 . Question 6. d. What are the perimeter and area of the image? (x, y) -> (x +5, y-6), Question 3. Type below: Type below: _____________, Answer: The blueprints are plotted on a coordinate plane. 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 3. Lesson 16 - Combining Dilations (Notes, Key) 10. _____________, Explanation: _____________, Answer: Describe the transformations that will transform the image back into the original figure. Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. 10.2 Algebraic Representations of Dilations - Quizizz For each pair of corresponding vertices, find the ratio of the x-coordinates and the ratio of the y-coordinates. ratio of y-coordinates = -4/-2 = 2, Question 2. The square is dilated under the dilation (x, y) (0.25x, 0.25y). Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? _____________, Answer: -4/-2 =2; 4/2 = 2 c. Write the algebraic representation of the dilation from the blueprint to the house. _____________, Answer: 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) Question 12. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). (0, -4) A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. 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. lesson 10 2 algebraic representations of dilations;
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lesson 10 2 algebraic representations of dilations
