Module 2 Review

A

B

C

D

Line segments A′B′ and C′D′ do not intersect and are closer together than AB and CD.

Line segments A′B′ and C′D′ intersect at (−2, 0) and are two times farther apart than AB and CD.

Line segments A′B′ and C′D′ intersect at (0, −2) and are two times farther apart than AB and CD.

Line segments A′B′ and C′D′ do not intersect and are the same distance apart as AB and CD.

A

B

C

D

m∠ A′B′C′ = 90 degrees

m∠ A′B′C′ = m∠ABC

m∠ A′B′C′ = 180 degrees

m∠ A′B′C′ = 2 ⋅ m∠ABC

Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit

Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit

Reflection about the x-axis followed by a translation to the left by 1 unit

Reflection about the y-axis followed by a translation to the right by 1 unit

1/2

1/3

1/4

1/5

p = 180 degrees − q

q = 180 degrees − p

p = 2q

p = q

60 degrees

70 degrees

80 degrees

100 degrees

p + r = q

p + q + r = 180 degrees

p + q + r = 90 degrees

q + r = p

m, because triangle ABC is similar to triangle EDC

m/2, because triangle ABC is congruent to triangle DCE

m + 60 degrees, because triangle ABC is similar to triangle DCE

120 degrees -m, because triangle ABC is congruent to triangle DCE