△ 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’?

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.

step-by-step explanation:

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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