4.1 Congruence

When 2 figures are congruent ...

• corresponding angles have the same measure

• corresponding sides have the same measure.

• all corresponding sides have the same proportion

• a series of rigid motions maps one figure to the other

• a dilation may have occurred

Tags

CCSS.8.G.A.2

Triangle PQR is reflected across the line y = 0 (x-axis). The image is then translated 5 units to the right, resulting in △STU. Which of the following statements are true?

Select all that apply.

• PQ = ST

• PQ = TU

• m∠R = m∠U

• m∠P = m∠U

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the graph, △PQR ≅ △STU.

Choose the words that complete the statement to describe a composition of rigid motions that maps △PQR to △STU.

Reflect △PQR across the line __________________. Then translate the resulting image ________units to the right.

• x-axis, 5

• x-axis, 3

• x-axis, 8

• y-axis, 5

• y-axis, 2

Tags

CCSS.8.G.A.3

Select ALL true statements given the transformation.

• △JKL ≅ △MNO

• △STU ≅ △MNO

• △JKL ≅ △PQR

• △STU ≅ △JKL

• △STU ≅ △QPR

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Alicia analyzes the quadrilaterals shown on the coordinate plane. Which equation could Alicia use to show that these two shapes are congruent?

• (r_{(90°, O)} ^∘ T _{<−3, 0>} ) (PQRS) = TUVW

• ​​(r_{(90°, O)}^∘T_{<0, −3>} ) (PQRS) = TUVW

• (r_{(180°, O)}^∘T_{<−3, 0>} ) (PQRS) = TUVW

• (r_{(180°, O)}^∘T_{<0, −3>} ) (PQRS) = TUVW

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5