4.5 Triangle Congruence Proofs

Which of the following is a correct statement and reason for the proof shown?

• $\angle GEQ\cong\angle NEW$ Vertical

• $\overline{WN}\cong\overline{GQ}$ ; Prove

• $\angle G\cong\angle N$ ; Alternate Interior

• $\angle W\cong\angle Q$ ; Alternate Interior

Which of the following is a correct statement and reason for the proof shown?

• $\angle APB\cong\angle CPD$ ; Vertical

• $\angle A\approx\angle D$ ; Alternate Interior

• $\angle C\cong\angle B$ ; Alternate Interior

• $\overline{AB}\cong\overline{CD}$ ; Prove

Which of the following is a correct statement and reason for the proof shown?

• $\overline{DC}\cong\overline{DC}$ ; Reflexive Property

• $\angle A\cong\angle B$ ; Reflexive Property

• $\angle1\cong\angle2$ ; Reflexive Property

• $\overline{AD}\cong\overline{DB}$ ; Midpoint Theorem

What is Reason C?

• Definition of Congruence

• Definition of Vertical Angles

• Reflexive Property

• Vertical Angle Theorem

What is Reason C?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

State if the two triangles are congruent.  If they are, state how you know.

• A
• B
• C
• D

State if the two triangles are congruent. If they are, state how you know.

• A

• B

• C

• D

Are these triangles congruent?

• Yes, by AAS
• Yes, by SAS
• Yes, by ASA
• No, this is the SSA one!!

What is Reason D?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

What is Reason B?

• Definition of Congruence

• Definition of Equality

• Definition of Midpoint