Congruence in Overlapping Triangles

Identify any common angles or sides for:

△ADC △BDC

• AB

• AC

• BD

• DC

Identify any common angles or sides.

△EGH △EGF

• EH

• EF

• GH

• EG

Identify any common angles or sides.

• ∠M

• ∠P

• ∠K

• ∠MLP

Identify any common angles or sides.

△UXV and △VWU

• UX

• UW

• UV

• XV

Name the side or angle that is overlapping.

• UX

• UV

• VW

• XW

Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.

• △AWC ≅ △CRW by ASA.

• △AWC ≅ △RCW by AAS.

• △AWC ≅ △WCR by SAS.

• △AWC ≅ △RWC by ASA.

Which postulate or theorem, if any, could you use to prove △DBE ≅ △FCE congruent? If not enough information is given, choose not enough information

• SAS

• AAS

• ASA

• not enough information

• Equivalence

• Reflexive

• Symmetric

• Transitive

Which postulate or theorem, if any, could you use to prove the two triangles congruent?

• ASA

• HL

• AAS

• SSA

Which overlapping triangles are congruent by ASA?

• △ADC ≅ △EBC

• △ABE ≅ △CDA

• △ABE ≅ △DEA

• △ADC ≅ △EDA