Question 1

In the diagram of △AGE and △OLD, ∠GAE $\cong$∠LOD, and AE $\cong$ OD.  To prove that △AGE and △OLD are congruent by SAS, what other information is needed?

Accepted Answer

AG $\cong$ OL

Answer

<AEG $\cong$ <ODL

Answer

GE $\cong$ LD

Answer

<AGE $\cong$<OLD

Question 2

In the diagram, AC bisects ∠BAD and ∠B $\cong$ ∠D.  
Which method could be used to prove △ABC $\cong$ △ADC?

Accepted Answer

AAS

Answer

SSS

Answer

SAS

Answer

HL

Question 3

In the diagram, AE $\cong$CE and ∠BCE$\cong$∠DAE.  Triangle DAE can be proved congruent to triangle BCE by

Accepted Answer

ASA

Answer

SAS

Answer

SSS

Answer

HL

Question 4

In the diagram, AB || CD and ∠ABC$\cong$∠CDA.  Which method can be used to prove that △ABC is congruent to △CDA?

Accepted Answer

AAS

Answer

SSS

Answer

SSA

Answer

SAS

Question 5

In the diagram, AB$\cong$DE, ∠A$\cong$∠D, and ∠B$\cong$∠E.  Which method can be used to prove △ABC$\cong$△DEF ?

Accepted Answer

SAS

Answer

AAS

Answer

SSS

Answer

ASA

Question 6

In the diagram, DB $\cong$BE.  Which statement is needed to prove ∆ABE $\cong$∆CBD using only SAS?

Accepted Answer

AD $\cong$ CE

Answer

AE $\cong$CD

Answer

∠CDB $\cong$∠AEB

Answer

∠AFD $\cong$∠EFC

Question 7

In the diagram, ∠A $\cong$∠EDF and AB $\cong$DE.
Which pair of corresponding parts and triangle congruency method
would NOT prove ∆ABC $\cong$∆DEF?

Accepted Answer

BC $\cong$ EFand SAS

Answer

∠CBA $\cong$∠FED and ASA

Answer

∠C $\cong$∠F and AAS

Answer

AC $\cong$ DFand SAS

Question 8

In the diagram, AN $\cong$SC.  Which additional statement is sufficient to prove  ∆KAN $\cong$ ∆KSC by AAS?

Accepted Answer

AN || SC

Answer

AS and NC bisect each other.

Answer

AS ⊥ CN

Answer

K is the midpoint of NC.

Question 9

Which information is always sufficient to prove ∆ABE $\cong$∆CDE?

Accepted Answer

BD and AC bisect each other.

Answer

AB $\cong$CD and BE $\cong$DE

Answer

E is the midpoint of AC.

Answer

AB || CD

Question 10

In the diagram, M is the midpoint of AB and PQ.  ∆MAP $\cong$∆MBQ by

Accepted Answer

SAS

Question 11

∆MON $\cong$∆TNO by

Accepted Answer

SAS

Question 12

Triangle XYZ can be shown congruent to ∆XWV using 2 different methods.  One method is AAS.  What is the other method?

Accepted Answer

ASA

Question 13

Triangle ABC can be proven congruent to ∆EDC using 2 different methods.  One method is ASA.  What is the other method?

Accepted Answer

AAS

Question 14

Which triangle congruence shortcut shows ∆ARN $\cong$∆NCA?

Accepted Answer

SAA

Question 15

S is the midpoint of QR.  Which triangle shortcut shows ∆PQS $\cong$∆PRS?

Accepted Answer

SAS

Question 16

PS bisects <RPQ.  Which triangle congruence shortcut proves ∆PQS $\cong$∆PRS?

Accepted Answer

ASA

Question 17

In the diagram, DE $\cong$CE and AE $\cong$BE.  Which triangle congruence shortcut proves ∆ADE $\cong$∆BCE?

Accepted Answer

SAS

Question 18

In the diagram, AD $\cong$BC and <DAB $\cong$<CBA.  Which triangle congruence shortcut proves ∆ABD $\cong$∆BAC?

Accepted Answer

SAS

Question 19

In the diagram, CD bisects ACB and AC $\cong$BC.  Which triangle congruence shortcut proves ∆ACD $\cong$∆BCD

Accepted Answer

SAS

Question 20

Which triangle congruence shortcut shows ∆ABC $\cong$∆EDC?

Accepted Answer

ASA

Question 21

AD || BC and AB || CD.  Which triangle congruence shortcut proves ∆ABD $\cong$∆CDB?

Accepted Answer

ASA

Question 22

In the diagram, AB $\cong$CD and AD $\cong$BC.  Which triangle congruence shortcut proves ∆ABD $\cong$∆CDB?

Accepted Answer

SSS

Question 23

In the diagram, <A $\cong$<C and AB || CD.  Which triangle congruence shortcut proves ∆ABD $\cong$∆CDB?

Accepted Answer

SAA

Question 24

In the diagram, AC $\cong$BC and CD $\cong$CE.  Which triangle congruence shortcut proves ∆ACE $\cong$∆BCD?

Accepted Answer

SAS

Question 25

Based on the markings, which triangle congruence shortcut proves ∆TRP $\cong$∆APR?

Accepted Answer

SAS

Question 26

In the diagram, <1 $\cong$<2 and SH $\cong$RC.  Which triangle congruence shortcup proves ∆SCH $\cong$∆RHC?

Accepted Answer

SAS

Question 27

In the diagram, MA || TH and B is the midpoint of MT.  Which triangle congruence shortcut proves ∆MAB $\cong$∆THB?

Accepted Answer

AAS

Question 28

In the diagram, C is the midpoint of AE and BD.  Which triangle congruence shortcut proves ∆ABC $\cong$∆EDC?

Accepted Answer

SAS

Question 29

In the diagram, AD || CB and AD $\cong$CB.  Which triangle congruence shortcut proves ∆ADC $\cong$∆CBA?

Accepted Answer

SAS

Question 30

In the diagram, <C $\cong$<D and E is the midpoint of CD.  Which triangle congruence shortcut proves ∆ACE $\cong$∆DBE?

Accepted Answer

ASA

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