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WorksheetsProving Triangle Congruency Quiz
Total questions: 10
Worksheet time: 5mins
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
