Triangle Congruence: SAS — Unit test

Question 1

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

Revolt · Accepted Answer

ASA

Question 2

Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

Revolt · Accepted Answer

∠MKL

Question 3

Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS

Revolt · Accepted Answer

ΔRMS ≅ ΔRQS by AAS

Question 4

Triangles H J K and L M N are shown. The triangles have identical side lengths and angle measures. Triangle H J K is slightly lower and to the left of triangle L M N. Triangle H J K is reflected to form triangle L M N.

Revolt · Accepted Answer

Translate K to N and reflect across the line containing JK.

Question 5

Triangles J K L and X Y Z are shown. Angles K J L and Y X Z are right angles. The length of Y X is 10. The length of hypotenuse K L is 10.

Revolt · Accepted Answer

No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Triangle Congruence: SAS — Unit test Answers

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