QuestionAre Figure C and Figure D congruent? Yes No Which transformation will map Figure C onto Figure D exactly? Translate Figure C to the right 8 units Translate Figure C up 8 units Reflect Figure over the -axis Reflect Figure C over the -axis Rotate Figure C clockwise about the origin Rotate Figure C counterclockwise about the origin None of these
Studdy Solution
STEP 1
1. Figure C and Figure D are right triangles.
2. Both figures appear to have the same size and shape.
3. Figure C is located in the fourth quadrant.
4. Figure D is located in the first quadrant.
STEP 2
1. Determine if Figure C and Figure D are congruent.
2. Identify the transformation that maps Figure C onto Figure D.
STEP 3
Determine if Figure C and Figure D are congruent:
- Two figures are congruent if they have the same size and shape.
- Since both figures are right triangles and appear to have the same size and shape, they are congruent.
Conclusion: Yes, Figure C and Figure D are congruent.
STEP 4
Identify the transformation that maps Figure C onto Figure D:
- Analyze the position and orientation of both figures.
- Figure C is in the fourth quadrant, and Figure D is in the first quadrant.
- To map Figure C onto Figure D, consider transformations such as translations, reflections, and rotations.
- Since Figure C is in the fourth quadrant and Figure D is in the first quadrant, a reflection over the x-axis would map Figure C into the first quadrant.
Conclusion: Reflect Figure C over the x-axis.
The transformation that will map Figure C onto Figure D exactly is:
Reflect Figure C over the x-axis.
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