You proved triangles congruent using SSS SAS ASA

Right Triangle Congruence Determine whether the each pair of triangles is congruent. If yes,

Right Triangle Congruence Are the two triangles congruent? Yes What theorem proves the triangles

Prove Right Triangle Congruence Write the specified type of proof. A. Flow proof Given:

Prove Right Triangle Congruence ∆ EFG ≅ ∆ GHE are right triangles with right

Prove Right Triangle Congruence Write the specified type of proof. B. Two-column proof Given:

Prove Right Triangle Congruence JL II KM , JKL and MLK are right angles

Prove Right Triangles Congruent Windows in a house form adjacent right triangles. Write a

Prove Right Triangles Congruent RQ is a perpendicular bisector of PS Write the given

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You proved triangles congruent using SSS, SAS, ASA, and AAS. • Use the right triangle congruence theorems to prove relationships in geometric figures.

Right Triangle Congruence Determine whether the each pair of triangles is congruent. If yes, include theorem or postulate that applies and describe the series of rigid motions that maps one triangle onto the other.

Right Triangle Congruence Are the two triangles congruent? Yes What theorem proves the triangles are congruent? LL What type of motion will map one triangle onto the other? Translation Answer: yes; LL; translation

Prove Right Triangle Congruence Write the specified type of proof. A. Flow proof Given: EFG and GHE are right triangles with right angles F and H; . Prove: EFG ≅ GHE

Prove Right Triangle Congruence ∆ EFG ≅ ∆ GHE are right triangles with right angles F and H Write the given statements. EF ǁ HG Write the given statements. Why is FEG ≅ HGE? alternate are EF ǁ HG and interior angles congruent. Why is EG ≅ EG ? The Reflexive Property. Why is ∆ EFG ≅ ∆ GHE? HA Use the information to write a flow proof.

Prove Right Triangle Congruence Answer:

Prove Right Triangle Congruence Write the specified type of proof. B. Two-column proof Given: Prove: JKL ≅ MLK

Prove Right Triangle Congruence JL II KM , JKL and MLK are right angles Write the given statements. Why is MKL ≅ JLK? JL II KM and alternate interior angles are congruent. Why is KL ≅ KL ? The Reflexive Property. Why is ∆ JKL ≅ ∆ MLK? LA Use the information to write a two-column proof.

Prove Right Triangle Congruence Answer:

Prove Right Triangles Congruent Windows in a house form adjacent right triangles. Write a paragraph proof to prove that PQR ≅ SQR. Given: RQ is a perpendicular bisector of PS. Prove: PQR ≅ SQR

Prove Right Triangles Congruent RQ is a perpendicular bisector of PS Write the given statements. Why is PQR and SQR right angles? Definition of perpendicular. Why is RQ ≅ SQ ? Definition of bisector. Why is RQ ≅ RQ ? The Reflexive Property. Why is ∆ PQR ≅ ∆ SQR? LL Use the information to write a paragraph proof.

Prove Right Triangles Congruent Answer: