Question

The vertices of a triangle are P(−3, −4), Q(3, 4), and R(−6, −3). Name the vertices of Rx = 0 (PQR).

A. P'(3, −4), Q'(−3, 4), R'(6, −3) B. P'(−3, −4), Q'(3, 4), R'(−6, −3) C. P'(−3, 4), Q'(3, −4), R'(−6, 3) D. P'(3, 4), Q'(−3, −4), R'(6, 3)

Answer 1

The correct answer is A) P'(3, −4), Q'(−3, 4), R'(6, −3)

Rx = 0 indicates a reflection over the y-axis.

The rule for such a transformation is:
(x, y) --> (-x, y)
which means that the x-coordinate changes sign and the y-coordinate stays the same.

Therefore:
P(-3, -4) --> P'(3, -4)
Q(3, 4) --> Q'(-3, 4)
R(-6, -3) --> R'(6, -3)

These points are those in option A).