Question

Write a rule to describe the transformation.

A. reflection across y=x
B. rotation 90º clockwise about the origin
C. rotation 180º about the origin
D. rotation 90º counterclockwise about the origin

Answer 1

C. rotation 180º about the origin

Explanation:

Given

Quadrilaterals GWVY and G'W'V'Y'

Required

Describe the transformation rule

Pick points Y and Y'

`Y = (5,-4)`

`Y' = (-5,4)`

The above obeys the following rule:

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

When a point is rotated by 180 degrees, the rule is:

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

Hence, (c) is correct