Question

Triangle PQR with vertices P(-2, 3), Q(2, 4),
and R(1, -1) in the line x = -3.

Answer 1

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Answer:

• P'(-4, 3)
• Q'(-8, 4)
• R'(-7, -1)

Explanation:

Reflection over the line x=a is accomplished by the transformation ...

(x, y) ⇒ (2a -x, y)

For 'a' = -3, this becomes ...

(x, y) ⇒ (-6 -x, y)

P(-2, 3) ⇒ P'(-6-(-2), 3) = P'(-4, 3)

Q(2, 4) ⇒ Q'(-6-2, 4) = Q'(-8, 4)

R(1, -1) ⇒ R'(-6-1, -1) = R'(-7, -1)