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? (10, –2) (–10, 2) (–2, –10) (2, 10)

Answer 1

Answer:

(A)(10, –2)

Step-by-step explanation:

The image of the given triangle has points :

$A'(-2, 10)\\B'(-6, 4)\\C'(-10, 8)$

When points are reflected across the line y = x, the x-coordinate and y-coordinate change places.

Therefore, the pre-image of the triangle has points:

$A(10,-2)\\B(4,-6)\\C(8,-10)$

Therefore, the pre-image of vertex A' is (10,-2).

The correct option is A.