Transformations Test Prep

Triangle ABC is shown in the xy-coordinate plane. The triangle will be rotated 180° clockwise around the point (3, 4) to create ΔA'B'C'. Which characteristics of ΔA'B'C' will be the same for the corresponding characteristics of ΔABC? Select all that apply.

• the measure of ∠B'

• the area of ΔA'B'C'

• the length of segment A'B'

• the coordinates of A'

• the coordinates of B'

Which transformation will always carry the figure onto itself? Select all that apply.

• a reflection across line r

• a reflection across line s

• a rotation of 90° clockwise about point P

• a rotation of 180° clockwise about point P

• a rotation of 270° clockwise about point P

• CD

• EF

• GH

• IJ

• MN

Rectangle ABCD becomes rectangle A'B'C'D' under a translation of 2 units to the left and 4 units down. What are the coordinates of A'?

• (-2,-4)

• (-4,0)

• (-4,-2)

• (-4,-6)

Rectangle ABCD becomes rectangle A'B'C'D' under a translation of 2 units to the left and 4 units down. What is the value of segment B'C'?

• 3 units

• 4 units

• 2 units

• 6 units

Pentagon A is congruent to pentagon B. Which series of transformations can be used to verify this congruence? Use pentagon A as the pre-image.

• rotate 90° clockwise, then reflect over x-axis

• reflect over x-axis, then reflect over y-axis

• rotate 90° clockwise, then translate 4 down

• reflect over x-axis, then translate 4 right

Triangle A is congruent to triangle B. Which of the following transformations cannot transform triangle A to triangle B?

• 180° counterclockwise rotation about the origin

• reflection in the y-axis, then a translation down of 5 units

• 180^o clockwise rotation about the origin

• reflection in the x-axis, then reflect in the y-axis

Triangles A, B, and C are congruent. Which sequence of transformations could verify that triangle A is congruent to triangle B?

• reflect over x-axis, then translate 3 units right

• reflect over x-axis, then translate 3 units left

• rotate 180° counterclockwise about origin, then translate 2 units left

• rotate 90° counterclockwise about origin, then translate 2 units left

Triangles A, B, and C are congruent. Which sequence of transformations could verify that triangle A is congruent to triangle C?

• rotate 180° clockwise about origin, then translate 3 units down

• rotate 90° counterclockwise about the origin, then translate 7 down

• rotate 180° counterclockwise about the origin, then translate 2 units up

• rotate 90° clockwise about the origin, then translate 3 units left