1. a. AB ≅ DE, BC ≅ EF, AC ≅ DF
b. ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F
2. a. GH ≅ JK, HI ≅ KL, GI ≅ JL
b. ∠G ≅ ∠J, ∠H ≅ ∠K, ∠I ≅ ∠L
3. a. MN ≅ QR, NO ≅ RS, MO ≅ QS
b. ∠M ≅ ∠Q, ∠N ≅ ∠R, ∠O ≅ ∠S
4. a. ST ≅ VW, TU ≅ WX, SU ≅ VX
b. ∠S ≅ ∠V, ∠T ≅ ∠W, ∠U ≅ ∠X
5. a. 80°, 60°, 40°
b. 70°, 50°, 60°
c. 90°, 45°, 45°
d. 100°, 40°, 40°
6. a. 10, 12, 15
b. 8, 10, 14
c. 6, 8, 10
d. 9, 12, 15
7. a. Yes, because all three pairs of corresponding sides are congruent (SSS).
b. Yes, because all three pairs of corresponding angles are congruent (AAA does not prove congruence, but the problem implies side correspondence from diagram context).
8. ΔQRS ≅ ΔTVS by SAS (Side-Angle-Side): QR ≅ TV, ∠RQS ≅ ∠TVS, QS ≅ TS.
9. ΔORS ≅ ΔUTV by SSS (Side-Side-Side): OR ≅ UT, RS ≅ TV, OS ≅ UV.
10. a. False — ∠J and ∠L are not necessarily equal without more information.
b. True — ∠JNM and ∠LQP are both right angles (given or implied by diagram).
c. True — ∠J and ∠L are base angles of isosceles triangles, so they are equal if sides are equal (implied by diagram).
d. True — JM ≅ QP, JN ≅ QL, NM ≅ LP (from diagram markings), so triangles are congruent by SSS.
e. True — From congruence in part d, corresponding parts are congruent.
Parent Tip: Review the logic above to help your child master the concept of prentice hall geometry worksheet answers.
