Geometry Congruence of Triangles Review

Can you use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent?

• either ASA or AAS

• ASA only

• AAS only

• neither

Name the theorem or postulate that lets you immediately conclude ∆ABD ≅ ∆CBD.

• SAS

• AAS

• ASA

• H-L

• none of these

Supply the missing reasons to complete the proof.

Given: ∠Q ≅ ∠T; QR ≅ TR

• 3. ASA

  4.Substitution

• 3. SAS

  4. CPCTC

• 3. AAS

  4. CPCTC

• 3. ASA

  4. CPCTC

What else must you know to prove the triangles congruent by ASA? By SAS?

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x=

y=

Choose 2 answers

• 7

• 25

• 6

• 11

• 18

If BCDE ≅ OPQR, then DE =

• PQ

• OR

• OP

• QR

∠ABC≅ ?

• ∠PMN

• ∠NPM

• ∠NMP

• ∠MNP

Given: ∆ABC≅∆PQR, m∠B=3V+4, & m∠Q=8v-6. Find m∠B

[Hint: DRAW A PICTURE!]

• 22

• 11

• 10

• 2

• Symmetric Property of ≅ ; SSS

• Reflexive Property of ≅ ; SAS

• Reflexive Property of ≅ ; SSS

• Symmetric Property of ≅; SAS

In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?

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