Question

Lena reflected this figure across the x-axis. She writes the vertices of the image as A'(−2, 8), B'(−5, 6), C'(−8, 8), D'(−4, 2). Lena is incorrect because
A) she reflected the pre-image across the y-axis.

B) she reflected the pre-image across the line y = x.

C) she rotated the pre-image 90 degrees counterclockwise.

D) she rotated the pre-image 180 degrees counterclockwise.

Answer 1

Answer:

Option A) she reflected the pre-image across the y-axis

Step-by-step explanation:

we know that

When reflect a point across the the x-axis the rule of the reflection is equal to

(x,y) -----> (x,-y)

When reflect a point across the the y-axis the rule of the reflection is equal to

(x,y) -----> (-x,y)

In this problem we have

A(2,8),B(5,6),C(8,8),D(4,2)

Applying the rule of the reflection across the x-axis

The coordinates of the image would be

A'(2,-8),B'(5,-6),C'(8,-8),D'(4,-2)

Applying the rule of the reflection across the y-axis

The coordinates of the image would be

A'(-2,8),B'(-5,6),C'(-8,8),D'(-4,2)

therefore

she reflected the pre-image across the y-axis.