Question

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?

Answer 1

rotate 180 degrees ccw from (0,0)

Answer 2

We get Rectangle A'B'C'D' by rotating the Rectangle ABCD by 180° about origin.

Explanation:

We are given a graph which Rectangle ABCD and A'B'C'D'

To find : Set of transformation

From the graph,

Vertex of the Rectangle ABCD,

A( -4 , 2 ) , B ( -4 , 1 ) , C ( -1 , 1 ) and D ( -1 , 2 )

Vertices of Rectangle A'B'C'D'

A( 4 , -2 ) , B ( 4 , -1 ) , C ( 1 , -1 ) and D ( 1 , -2 )

Clearly from above,

we get that coordinates of the vertices of Rectangle A'B'C'D' is negative of the coordinates of the vertices of Rectangle ABCD .

That is if Coordinates of A( x , y ) then A'( -x , -y )

This transformation is done when we rotate the given figure by 180° about origin.

Therefore, We get Rectangle A'B'C'D' by rotating the Rectangle ABCD by 180° about origin.