G-CO.B.6 Use geometric definitions of rigid motions to transform figures and to predict the effect of agiven rigid motion on a given figure; given two figures, use the definition of congruence interms of rigid motions to decide if they are congruent.10) a) What is a rigid motion (isometry)?11) Are the two figures congruent? Explain why or why not (be specific).a)b)c) ZAABty2AlC'D'0-2-A'ys because12) Determine if AABC = ADFE by finding a sequence of transformations that maps AABC onto ADFE.Ay4--42Revised 12/2020Page 3 of 8

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Answered: 10) a) What is a rigid motion…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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B' A' Which statement describes the transformation of AABC? Is AA'B'C' = AABC? Explain. AABC has reflected across the y-axis and translated left 7. AA'B'C' # AABC because a reflection and translation are rigid transformations. Rigid transformations dilate the original figure. A) AABC has reflected across the x-axis and translated left 5. AA'B C AABC because a reflection and translation are rigid transformations. Rigid transformations ha B) no effect on the side lengths of the original figure. AABC has reflected across line y-axis and translated left 5. AA B'C' = AABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. C) AABC has reflected across line p and translated left 7. AA BC AABC D) because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure
Look at AB on the coordinate plane. State the coordinates of B' after a 90-degree counterclockwise rotation about the origin. A) (-3, -4) B) (3, 4) C) (-4, -3) D) (4, 3)
This graph shows pentagon NOPQR. The transformation (x, y) -> (-x, y) maps pentagon NOPQR to pentagon N'O'P'Q'R'. Select all of the true statements. A) N'O'P'Q'R' is the image of NOPQR after a reflection across the x-axis. B) The coordinates of Q' are (-7, -6) C) P'Q' = PQ D) The measure of angle N'O'P' = the measure of angle NOP Select all of the true statements.
19) Parallelogram ABCD has its center at M(3, 4.5). What transformations carries the ABCD onto itself? CHALLENGE 8. 7. 51 22) C D. 3F expre be us 3. in ter B. A,
Part a) Find a parametrization for the line passing through the two points (7, 8, 6) and (8, 8, – 6) Part b) Find a parametrization for the line SEGMENT from (7, 8, 6) to (8, 8, – 6). |
3. Triangle with vertices P(- 13, - 3) , Q(- 7, 3) , and R(-6,-2; 270 degrees counterclockwise rotation about C(- 5, - 4)

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10) a) What is a rigid motion (isometry)? 11) Are the two figures congruent? Explain why or why not (be specific). a) B ty A b) c) 6- A' 2- 4- A D. D' 0 -2 4 6. A' B' ys because 12) Determine if AABC = ADFE by finding a sequence of transformations that maps AABC onto ADFE. 4- 2- B 2 4