Question

The vertices of a triangle are P(-2,-6), Q(8, 2), and R(2, 5). Name the vertices of the image reflected across the y-axis.

(1 point)
O P (2, 6), Q'(-8,-2), R'(-2,-5)
O P(-2, 6), Q'(8,-2), R'(2,-5)
O P(-2,-6), Q'(8, 2), R'(2, 5)
O P (2,-6), Q'(-8, 2), R'(-2, 5)

Answer 1

The vertices of the reflected triangle across the y-axis are P(-2, -6), Q'(-8, 2), and R'(-2, 5).

Step-by-step explanation:

The reflection of a point across the y-axis is obtained by changing the sign of its x-coordinate while keeping the y-coordinate the same.

In this case, the vertices of the original triangle are P(-2,-6), Q(8, 2), and R(2, 5). When reflected across the y-axis, the x-coordinates change sign and remain the same as the original y-coordinate. Therefore, the vertices of the reflected triangle are P(-2, -6), Q'(-8, 2), and R'(-2, 5).

Learn more about reflection across the y-axis in a triangle