△pqr is reflected to form △p′q′r′ . 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) . which reflection results in the transformation of △pqr to △p′q′r′ ? reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x

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.

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hard

step-by-step explanation: