Question

Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) .

What are the coordinates of D′E′F′G′ after quadrilateral DEFG has undergone a rotation 270° counterclockwise about the origin?

Enter your answers, as ordered pairs (x, y) , in the boxes.

Answer 1

A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:

(x,y)→(y,-x).

Then:

• D(−2,4)→D'(4,2)
• E(4,7)→E'(7,-4)
• F(10,3)→F'(3,-10)
• G(8,0)→G'(0,-8)

Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).