Unit Test — Cumulative exam Answers

Which congruence theorem can be used to prove △WXS ≅ △YZS?

Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS

The proof that HG ≅ EG is shown.Given: G is the midpoint of KFKH ∥ EFProve: HG ≅ EGWhat is the missing reason in the proof?StatementReason1. ∠EGF ≅ ∠HGK1. vert. ∠s are ≅2. KH ∥ EF2. given3. ∠F ≅ ∠K3. alt. int. ∠s are ≅4. G is the midpoint of KF4. given5. FG ≅ KG5. def. of midpt.6. △FEG ≅ △KHG6. ?7. HG ≅ EG7. CPCTC

Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?

Consider the diagram.

Given: ∠GHD and ∠EDH are right; GH ≅ ED

Which congruence theorem can be used to prove △WXZ ≅ △YZX?

Complete the paragraph proof.Given: and are right anglesProve: bisects

Given: ∠XWU ≅ ∠ZVT; ∠ZTV ≅ ∠XUW; TU ≅ VW

Triangles ABC and DBC have the following characteristics: BC is a side of both triangles∠ACB and ∠DCB are right anglesAC ≅ DC

Line segments AD and BE intersect at C, and triangles ABC and DEC are formed. They have the following characteristics: ∠ACB and ∠DCE are vertical angles∠B ≅ ∠EBC ≅ EC

Which relationships in the diagram are true? Select three options.

Triangles ABC and DEF have the following characteristics:∠B and ∠E are right angles∠A ≅ ∠DBC ≅ EF

Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?

Given: bisects ∠BAC; AB = AC

Given: MQ = NQ; Q is the midpoint of LP; LM ≅ PN

Which congruence theorem can be used to prove △BDA ≅ △BDC?

Consider the diagram.

Consider the diagram.