Question

HELP ASAP!! Identify the reflection of the figure with vertices P(−11,−13), Q(−17,19), and R(23,−27) across the x-axis.

P (−11, 13), Q (−17, −19), R (23, 27)
P (11, 13), Q (17, −19), R (−23, 27)
P (11, −13), Q (17, 19), R (−23, −27)
P (−13, −11), Q (19, −17), R (−27, 23)

Answer 1

P' (−11, 13), Q' (−17, −19), R' (23, 27)

Explanation:

When we reflect a point across the x-axis, we negate the y-coordinates to obtain the image points.

The mapping for the reflection across the x-axis is

`(x,y)\to (x,-y)`

The vertices of the given figure are;

P(−11,−13), Q(−17,19), and R(23,−27)

We apply the rule to obtain:

`P(-11,-13)\to P'(-11,13)`

`Q(-17,19)\to Q'(-17,-19)`

`R(23,-27)\to R'(23,27)`

The correct option is P' (−11, 13), Q' (−17, −19), R' (23, 27)