The endpoints of PQ are P(-4,6) and Q (3,-7). Find the endpoints of the image of PQ after the composition. Translation: (2,y) → (2 – 8,y)
Translation: (2, y) + (x +1, 4+6)
After the composition, the final image of PQ, P"Q" has endpoints pat
and Q"at
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check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

no

step-by-step explanation:

answer is  

d.

3.09

hope you got this right.