Triangle Congruences Review

Using composition of rigid motions is △STR ≅ △MNP?

• Congruent

• Not Congruent

What theorem shows that △TNP ≅ △TMQ?

• Angle-Angle-Side

• Angle-Side-Angle

• Side-Angle-Side

• Hypotenuse-Leg

What is m∠BAC?

What is m∠CDE?

What composition of rigid transformations maps △ABC to △TUV?

• a translation 3 units left and 2 units up, then a reflection across x = 0

• a rotation 90° about the origin, then a translation 1 unit right

• a reflection across y = 3, then a reflection across x = 1

• a reflection across x = 1, then a translation 1 unit left and 2 units up

Which triangle is congruent to △XYZ?

• △RQP

• △IKJ

• △EDF

• none

If m∠NPM = 100, what is m∠TRM?

• 80°

• 90°

• 100°

• 110°

Tags

CCSS.8.G.A.5

If m∠NMQ = 75 and m∠MQT = 95, what is m∠TSR?

• A) 20°

• B) 30°

• C) 40°

• D) 50°

Is △NTM ≅ △SMT? Explain.

• Yes; NT ≅ SM, ∠NTM = ∠SMT, and MT ≅ TM, so the triangles are congruent by Side-Angle-Side.

• Yes; NT ≅ SM, MT ≅ TM, and ∠NTM = ∠SMT, so the triangles are congruent by Side-Side-Angle.

• Yes; the triangles are right triangles, NT ≅ SM, and MT ≅ TM, so the triangles are congruent by Hypotenuse-Leg.

• No; the triangles are not congruent.

Select all the true statements about the figure.