Consider the point A located at the
coordinates (3, 5). First, reflect the point over the x-axis. Then, translate that reflected point up
4 units and label this point A”. What are the coordinates of A”?

has vertices A(2, 1), B(4, 2), and
C(4, 1). Rotate 90° counterclockwise about the origin and
then reflect it across the x-axis. Which graph below shows this sequence of
transformations?

a.

c.

b.

d.

None of these show the correct sequence of
transformations.

First, quadrilateral ABCD is first reflected
over line m. Then, the image is reflected over line l
to create the quadrilateral
A”B”C”D”. Lines l and
m intersect at a 45º at point E.

What is another type of transformation
that would map quadrilateral ABCD onto quadrilateral A”B”C”D”?

a.

Rotate quadrilateral ABCD 90º about point E
where lines l and m intersect

b.

Reflect quadrilateral ABCD over a line that is half way between lines l and m.

c.

Translate quadrilateral ABCD left 3 units and up 1 unit.

d.

Dilate quadrilateral ABCD by a scale factor of 45 from point
E.