Compositions

Parallelogram F"G"H"J" is the final image after the rule r _y-axis ^o T _{1, 2} (X,Y) was applied to parallelogram FGHJ

What are the coordinates of vertex F of parallelogram FGHJ?

• (–2, 2)

• (–2, 6)

• (–2, 6)

• (–4, 2)

The rule r _y=x ^o T _4,0 (x,y) is applied to trapezoid ABCD to produce the final image A"B"C"D".

Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Select two options.

• (–1, 0)

• (–1, –5)

• (1, 1)

• (7, 0)

• (7, –5)

The rule T₅, -0.5 º Ro, 180º (x,y) is applied to ΔFGH to produce ΔF"G"H".

What are the coordinates of vertex F" of ΔF"G"H"?

• (4, –1.5)

• (4, –0.5)

• (–1.5, 4)

• (–0.5, 4)

Square A"B"C"D" is the final image after the rule T_{-4, -1}º R _{o, 90º} (x,y) was applied to square ABCD.

What are the coordinates of vertex A of square ABCD?

• (–1, –6)

• (–1, –2)

• (–1, 6)

• (–2, 1)

Triangle JKL is transformed using the rule T_0,90º or _{y= -x} (x,y). Point K of the pre-image is at (4, 7).

What are the coordinates of point K" on the final image?

• (–7, –4)

• (–4, –7)

• (4, –7)

• (4, 7)

The rule r _y-axis ^o R _{0, 90º} (X,Y) is applied to ΔABC.

Which triangle shows the final image?

• 1

• 2

• 3

• 4

Which composition of transformations maps figure EFGH to figure E"F"G"H"?

• a reflection across line k followed by a translation down

• a translation down followed by a reflection across line k

• a 180° rotation about point G followed by a translation to the right

• a translation to the right followed by a 180° rotation about point G

A composition of transformations maps ΔXYZ to ΔX"Y"Z".

The first transformation for this composition is [________], and the second transformation is a 90° rotation about point X'.

• a 180° rotation about point X

• a 270° rotation about point X

• a translation to the right

• a reflection across line

What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?

• a translation to the right

• a reflection across line m

• a 90° rotation about point G

• a 180° rotation about point G

What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?

• a translation down and to the right

• a translation up and to the rig

• a 270° rotation about point B

• a 180° rotation about point B'