Question
Victor translates PQ 2 units to the right and 5 units down. He labels the image of point P as point X and the image of point Q as point Y.
Which statement describes PQ and XY?
A.
XY is both parallel and congruent to PQ.
B.
XY is neither parallel nor congruent to PQ.
C.
XY is parallel but not congruent to PQ.
D.
XY is congruent but not parallel to PQ.
Which statement describes PQ and XY?
A.
XY is both parallel and congruent to PQ.
B.
XY is neither parallel nor congruent to PQ.
C.
XY is parallel but not congruent to PQ.
D.
XY is congruent but not parallel to PQ.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
When Victor translates the segment PQ to create the segment XY by moving it 2 units to the right and 5 units down, both the length and orientation of the line segment remain unchanged.
Consequently:
- **Congruence**: The lengths of PQ and XY are the same, so XY is congruent to PQ.
- **Parallelism**: The direction of PQ is preserved during the translation, which means that XY is parallel to PQ.
Based on this analysis, the correct statement is:
**A. XY is both parallel and congruent to PQ.**
Consequently:
- **Congruence**: The lengths of PQ and XY are the same, so XY is congruent to PQ.
- **Parallelism**: The direction of PQ is preserved during the translation, which means that XY is parallel to PQ.
Based on this analysis, the correct statement is:
**A. XY is both parallel and congruent to PQ.**
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