Question

Quadrilateral ABCD is plotted on the grid below.121110987AB654321DС-12 -11 -10 9 8 76 5-4 3 2123-1 0-156789 10 11 12-2-56-78-9-10-11-12Part AOn the graph, draw the image of quadrilateral ABCD after a counterclockwise rotation of 180° about theorigin. Label the image A'B'C'D'.Part BOn the lines below, explain how the coordinates of A changed to the coordinates of A'.

Answer 1

The coordinates of the quadrilateral

A(5,6)

B(10,6)

C(8,1)

D(3,1)

Part A.

The rule for a rotation counterclockwise of 180°

`(x,y)\rightarrow(-x,-y)`

A'=(-5,-6)

B'=(-10,-6)

C'=(-8,-1)

D'=(-3,-1)

Then we will draw the quadrilateral

the original is the red

and the rotate is the blue

Part B

the coordinate change as the given rule seen previously for rotation of 180° counterclockwise

`(x,y)\rightarrow(-x,-y)`