Rectangle ABCD went through a transformation and is now rectangle A'B'C'D'. Explain two different ways how rectangle ABCD becomes rectangle A'B'C'D'.

(c)

Explanation:

Given

See attachment for rectangles ABCD and A'B'C'D

Required

Determine two possible ways of transformation

From the attachment, we have:

ABCD coordinates:

A'B'C'D' coordinates:

The first transformation is a rotation of ABCD by 90 degrees using the rule:

(x,y) => (y,-x)

So, we have:

===>

===>

===>

===>

Next, is to translate 7 units down using the rule

(x,y) => (x,y-7)

So, we have:

==>

==>

==>

==>

This gives

Option (c) is correct