Question

△ PQR has vertices P(-2, 7), Q(3, 5), and R(-6, -1).Which of the following best represents a reflection of △ PQR across the x-axis to become △ P’Q’R’?

Answer 1

Answer: The △PQR is reflected across the y-axis and option 2 is correct.

Step-by-step explanation:1. The reflection across the x-axis is defined as

2. The reflection across the y-axis is defined as

3. The reflection across the y=x is defined as

4. The reflection across the y=-x is defined as

It is given that the vertices of ​ △PQR ​ are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of ​ △P′Q′R′ ​ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) .

The relation between prerimage and image is defined as

Therefore the △PQR is reflected across the y-axis and option 2 is correct.