Question

For angle ABC WITH (-4,-2) B(-8,3) and C(1,7), find the coordinates of the image after a rotation of 180degrees about the origin, and then translation (x,y) to (x-3,y+6)

Answer 1

• A'(1, 8)
• B'(5, 3)
• C'(-4, -1)

Explanation:

The rotation makes the transformation ...

(x, y) ⇒ (-x, -y)

So, the rotation and translation together give ...

(x, y) ⇒ (-x-3, -y+6)

This means the points move to ...

A' = -A +(-3, 6) = (4-3, 2+6) = (1, 8)

B' = -B +(-3, 6) = (8-3, -3+6) = (5, 3)

C' = -C +(-3, 6) = (-1-3, -7+6) = (-4, -1)