Question

In the following graph, what is the line of reflection for ABC and its image A’ B’ C’.

Y=0 (the x axis)
Y= -x
X= 1
Y= x

Answer 1

Option D

Explanation:

Coordinates of the vertices of ΔABC → A(-2, 1), B(0, 1) and C(-3, -1)

Coordinates of image ΔA'B'C' → A'(1, -2), B'(1, 0) and C'(-1, -3)

Now we compare the preimage and image points A and A',

A(-2, 1) → A'(1, -2)

If the coordinates of A are (x, y) then after transformation coordinates of A' → (y, x)

So the rule for the transformation is,

A(x, y) → A'(y, x)

This rule is followed when a point is reflected over a line y = x.

Therefore, Option D is the answer.