Chandra studies the following graph of △XYZ△XYZ and its image Chandra concludes that △X′Y′Z′△X′Y′Z′ is not congruent to △XYZ△XYZ. Is Chandra’s conclusion correct? Why or why not? Select the answer that is completely correct. Chandra’s conclusion is correct. △XYZ△XYZ is reflected across the xx-axis to create △X′Y′Z′△X′Y′Z′. Reflections do not keep the size and shape of a figure the same. This means, △X′Y′Z′△X′Y′Z′ is not congruent to △XYZ△XYZ. Chandra’s conclusion is not correct. △XYZ△XYZ is reflected across the xx-axis to create △X′Y′Z′△X′Y′Z′. Reflections keep the size and shape of a figure the same. This means △X′Y′Z′△X′Y′Z′ is congruent to △XYZ△XYZ. Chandra’s conclusion is not correct. △XYZ△XYZ is rotated 90°90° clockwise about the origin to create △X′Y′Z′△X′Y′Z′. Rotations keep the size and shape of a figure the same. This means, △X′Y′Z′△X′Y′Z′ is congruent to △XYZ△XYZ. Chandra’s conclusion is correct. △XYZ△XYZ is reflected across the xx-axis to create △X′Y′Z′△X′Y′Z′. Reflections change the position and direction of a figure. This means △X′Y′Z′△X′Y′Z′ is not congruent to △XYZ△XYZ.

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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Question

Chandra studies the following graph of △XYZ△XYZ and its image

Chandra concludes that △X′Y′Z′△X′Y′Z′ is not congruent to △XYZ△XYZ.

Is Chandra’s conclusion correct? Why or why not?

Select the answer that is completely correct.

Chandra’s conclusion is correct. △XYZ△XYZ is reflected across the xx-axis to create △X′Y′Z′△X′Y′Z′. Reflections do not keep the size and shape of a figure the same. This means, △X′Y′Z′△X′Y′Z′ is not congruent to △XYZ△XYZ.

Chandra’s conclusion is not correct. △XYZ△XYZ is reflected across the xx-axis to create △X′Y′Z′△X′Y′Z′. Reflections keep the size and shape of a figure the same. This means △X′Y′Z′△X′Y′Z′ is congruent to △XYZ△XYZ.

Chandra’s conclusion is not correct. △XYZ△XYZ is rotated 90°90° clockwise about the origin to create △X′Y′Z′△X′Y′Z′. Rotations keep the size and shape of a figure the same. This means, △X′Y′Z′△X′Y′Z′ is congruent to △XYZ△XYZ.

Chandra’s conclusion is correct. △XYZ△XYZ is reflected across the xx-axis to create △X′Y′Z′△X′Y′Z′. Reflections change the position and direction of a figure. This means △X′Y′Z′△X′Y′Z′ is not congruent to △XYZ△XYZ.

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