Question

A traingle has vertices at A(-7, 6), B(4, 9), C(-2, -3). What are the coordinates of each vertex if the triangle is translated 4 units right and 6 units down?

Answer 1

The coordinates of each vertex are

A'(-3, 0),B'(8,3) and C'(2,-9)

Explanation:

we know that

The triangle is translated 4 units right and 6 units down

That means

The rule for the translation is equal to

(x,y) -------> (x+4,y-6)

Apply the rule of the translation to the coordinates of vertices ABC to obtain the vertices of the image A'B'C'

so

A(-7, 6) -----> A'(-7+4, 6-6)

A(-7, 6) -----> A'(-3, 0)

B(4, 9) ----> B'(4+4,9-6)

B(4, 9) ----> B'(8,3)

C(-2, -3) ----> C'(-2+4,-3-6)

C(-2, -3) ----> C'(2,-9)