Question

Y=x. Given A(7,-4), B(6,4), and C(-1,-5), what are the coordinates of the vertices of A’B’C for the reflection

Answer 1

The coordinates of the vertices of A'B'C' is:

• A'(-4, 7)

• B'(4, 6)

• C'(-5, -1)

Explanation:

Given the coordinates of the triangle

• A(7,-4)

• B(6,4)

• C(-1,-5)

Reflection in the line y=x

We know that the rule of reflection in the line is y = x is:

(x, y) → (y, x)

Thus,

The coordinates of the vertices of A'B'C' for the reflection in the y = x

(x, y) → (y, x)

A(7, -4) → A'(-4, 7)

B(6, 4) → B'(4, 6)

C(-1, -5) → C'(-5, -1)

Thus, the coordinates of the vertices of A'B'C' is:

• A'(-4, 7)

• B'(4, 6)

• C'(-5, -1)