Question

A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). It is reflected about the y-axis. What are its new coordinates?

A) (-2,3), (4,-5), (2,4)
B) (-2,-3), (4,5), (2,-4)
C) (2,-3), (-4,5), (-2,-4)
D) (-2,-3), (-4,-5), (-2,-4)

Answer 1

Answer: A) (-2,3), (4,-5), (2,4)

Explanation:

Got this right on USA test prep

Answer 2

Note that when a point P(a, b) is reflected with respect to the y-axis, the y coordinate does not change, while a becomes -a.

So the reflection of a point P(a, b) with respect to the y-axis is the point P'(-a, b).

According to this, the projections of the points (2,3), (-4,-5), and (-2, 4) are the points the points (-2,3), (4,-5), and (2, 4).


Answer: A