Proving Triangle Congruency Quiz

Refer to Figure 1. If AB̅̅̅̅ ≅ DE̅̅̅̅, ∠A ≅ ∠D and ∠C ≅ ∠F, then ∆ABC ≅ ∆DEF by what

postulate or theorem?

• AAS Congruence Theorem

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

Corresponding parts are marked in Figure 2, how can you prove that ∆ABE ≅ ∆DBC?

• AAS Congruence Theorem

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

Using Figure 3, what additional information is needed to be able to apply the ASA

Congruence Postulate?

• ∠DIA ≅ ∠DEA

• ∠IDA ≅ ∠EDA

• ID̅̅̅ ≅ ED̅̅̅̅

• D. DA̅̅̅̅ ≅ DA̅̅̅̅

Refer to Figure 4. Is there enough information to conclude that the two triangles are

congruent? If so, what is the correct congruence statement?

• Yes; ∆SON ≅ ∆NYS

• Yes; ∆SNO ≅ ∆SNY

• Yes; ∆OSN ≅ ∆NYO

• No; not enough information

In Figure 5, ∆ABC ≅ ∆DEF. Which of the following statements is NOT true?

• ∠A ≅ ∠E

• ∠C ≅ ∠F

• AB̅̅̅̅ ≅ DE̅̅̅̅

• ̅AC̅̅̅ ≅ DF̅̅̅̅

Refer to Figure 6. ∆ABC ≅ ∆DBC. Why is BC̅̅̅̅ ≅ BC̅̅̅̅?

• Concentric

• Reflexive

• Transitive

• Symmetric

Refer to Figure 6. What pair of congruent parts can prove that ∆ABC ≅ ∆DBC by

ASA Congruence Postulate given that ∠A ≅ ∠D and AB̅̅̅̅ ≅ DB̅̅̅̅?

• BC̅̅̅̅ ≅ BC̅̅̅̅

• ∠ABC ≅ ∠DBC

• ∠BAC ≅ ∠BDC

• ∠ACB ≅ ∠DCB

Refer to Figure 6. Which of the following definition supports the statement:

If m∠A = m∠D, then ∠A ≅ ∠D.

• Definition of congruent angles

• Definition of congruent segments

• Definition of midpoint

• Definition of perpendicular segments

Refer to Figure 7.

Given: CT̅̅̅̅ and MP ̅̅̅̅ intersect each other at point A. What theorem supports the statement: ∠PAT ≅ ∠MAC?

• Angle Bisector

• Isosceles Triangle

• Perpendicular Bisector

• Vertical Angle

Refer to Figure 7.

Given: CT̅̅̅̅ and MP ̅̅̅̅ intersect each other at point A. If PT̅̅̅̅ ≅ PT̅̅̅̅, CP̅̅̅̅ ≅ MT ̅̅̅̅ and CT̅̅̅̅ ≅ MP ̅̅̅̅, which two triangles are

congruent?

• ∆CAP ≅ ∆TAM

• ∆CAM ≅ ∆TAP

• ∆CPT ≅ ∆MTP

• ∆PCM ≅ ∆TMC