Proofs of Triangle Congruences

When using hypotenuse leg (HL) in a proof, you must first state ...

• CPCTC.

• there are right triangles.

• that vertical angles are congruent.

• the reflexive property.

Tags

CCSS.HSG.SRT.B.5

Are these triangles congruent?

• Yes, by AAS

• Yes, by SAS

• Yes, by ASA

• No, this is the SSA one!!

Tags

CCSS.HSG.SRT.B.5

What is Reason C?

• Definition of Congruence

• Definition of Vertical Angles

• Reflexive Property

• Vertical Angle Theorem

Tags

CCSS.HSG.CO.B.7

What is Reason C?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

Tags

CCSS.HSG.SRT.B.5

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

• A

• B

• C

• D

Tags

CCSS.HSG.SRT.B.5

Are these triangles congruent?

• Yes, by AAS

• Yes, by SAS

• Yes, by ASA

• No, this is the SSA one!!

Tags

CCSS.HSG.SRT.B.5

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Tags

CCSS.HSG.SRT.B.5

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

Tags

CCSS.HSG.SRT.B.5

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.B.5

• A
• B
• C
• D