Question

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8). What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the line y = x?

Answer 1

Answer:

A(10,-2).

Step-by-step explanation:

It is given that, on a coordinate plane, a triangle has points A'(-2, 10), B'(-6, 4), and C'(-10, 8).

We need to find the pre-image of vertex A' if the image shown on the graph was created by a reflection across the line y = x.

If a figure reflected across the line y=x, then

$A(x,y)\rightarrow A'(y,x)$

It is given that A'(-2,10).

$A(y,x)=A'(-2,10)$

On comparing both sides, we get

$x=10,y=-2$

Therefore, the coordinates of preimage of A' are (10,-2).