Triangle Congruence: ASA Postulate and AAS Theorem

Which triangle is congruent to GHI by the AAS theorem?

A.

If AC bisects BAD, prove BAC = DAC.

A. 1) Given 2) Reflexive property of = 3) Definition of an angle bisector 4) ASA

Prove TSV = TUV.

B. 1) Given 2) All right angles are congruent 3) Base angles of an isosceles triangle are congruent 4) AAS

What theorem or postulate can be used to justify that the two triangles are congruent? Write the congruence statement.

B. ASA FGH = IHG

Find the length of UT and the measure of R.

B. UT = 104, mR = 126°

Find the length of JK and the measure of M.

C. JK = 33, mM = 26°

What additional information would you need to prove STV = UTV by AAS?

C. S = U

Find the length of WY and the measure of Z.

C. WY = 77, mZ = 110°

Which pair of triangles cannot be proven congruent with the given information?

D.

If EFG = STU, what can you conclude about E, S, F, and T?

D. E = S, F = T

Is JKO = PMN? If so, find MN.

🚫A

Find the length of WY and the measurement of Z.

🚫B

Given that KJ = MN and that L is the midpoint of JN, prove JKL = NML.

🚫B

What additional information would you need to prove the triangles congruent by ASA?

🚫B

What postulate or theorem can be used to justify that CZB = CXA?

🚫C