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Schach [20]
2 years ago
10

The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′

(−1, 4) , Q′(−2, 2) , and R′(2, 1) .
Which statement correctly describes the relationship between △PQR and △P′Q′R′ ?

△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
△PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′ .
△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

Mathematics
2 answers:
victus00 [196]2 years ago
7 0

Answer:

B

Step-by-step explanation:

sveticcg [70]2 years ago
5 0

ANSWER


The correct  answer is B


<u>EXPLANATION</u>

If we analyse the coordinates carefully, you realize there is a mapping of

(x,y)\rightarrow(-x,y)

This is a reflection in the y-axis.


Since the transformation is a reflection, the shape is preserved. Therefore, the image triangle P'Q'R' of triangle

PQR are congruent.



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