xWhy is figure S congruent to figure T? -4 O Figure S can be translated 7 units up and then rotated 90° clockwise about the origin to show congruency to Figure T. O Figure S can be translated 7 units up and then reflected over the x-axis to show congruency Figure T. Figure S can be reflected over the y-axis and then rotated 90° counterclockwise about the origin to show congruency to Figure T. O Figure S can be reflected over the x-axis and then dilated by a scale factor of 2 to show congruency to Figure T.

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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**Why is figure S congruent to figure T?**

*Diagram Explanation:*

The diagram consists of two figures, S and T, on a coordinate plane. Figure S appears in the fourth quadrant, while figure T appears in the first quadrant.

*Options to determine congruency:*

1. **Figure S can be translated 7 units up and then rotated 90° clockwise about the origin to show congruency to Figure T.**
   
2. **Figure S can be translated 7 units up and then reflected over the x-axis to show congruency to Figure T.**
   
3. **Figure S can be reflected over the y-axis and then rotated 90° counterclockwise about the origin to show congruency to Figure T.**
   
4. **Figure S can be reflected over the x-axis and then dilated by a scale factor of 2 to show congruency to Figure T.**

*Educational Summary:*
Understanding transformations such as translations, rotations, reflections, and dilations is crucial in determining congruency between geometric figures. Evaluating transformations will help identify if figure S can be manipulated to match figure T exactly.
Transcribed Image Text:**Why is figure S congruent to figure T?** *Diagram Explanation:* The diagram consists of two figures, S and T, on a coordinate plane. Figure S appears in the fourth quadrant, while figure T appears in the first quadrant. *Options to determine congruency:* 1. **Figure S can be translated 7 units up and then rotated 90° clockwise about the origin to show congruency to Figure T.** 2. **Figure S can be translated 7 units up and then reflected over the x-axis to show congruency to Figure T.** 3. **Figure S can be reflected over the y-axis and then rotated 90° counterclockwise about the origin to show congruency to Figure T.** 4. **Figure S can be reflected over the x-axis and then dilated by a scale factor of 2 to show congruency to Figure T.** *Educational Summary:* Understanding transformations such as translations, rotations, reflections, and dilations is crucial in determining congruency between geometric figures. Evaluating transformations will help identify if figure S can be manipulated to match figure T exactly.
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