Notes Triangle Congruence

Which of the following is NOT a criterion for triangle congruence?

• SAS

• AAS

• SSA

• ASA

Tags

CCSS.HSG.SRT.B.5

Abigail, Maya, and Luna are having a debate about two triangles. Are these triangles congruent?

• Yes, by AAS

• Yes, by SAS

• Yes, by ASA

• No, this is the SSA case!

Tags

CCSS.HSG.SRT.B.5

Imagine Kai, Ava, and Aria are in a math competition. They are given a problem to solve: The HL Theorem can be proven by using the (a) _______ Theorem, and then the triangles are congruent by the (b) _______ Postulate. Kai quickly jots down his answer for (a) and Ava for (b). Can you guess what they wrote?

(a)   (b)  

• Pythagorean

• SSS

• Third Angles

• ASA

• SAS

Tags

CCSS.HSG.SRT.B.5

David, Kai, and Luna are having a friendly debate about the AAS Theorem. David says it can be proven by using the (a) _______ Theorem and then Luna adds that the triangles are congruent by the (b) _______ Postulate. Kai is taking notes. Can you help Kai fill in the blanks?

• SAS

• Third Angles

• ASA

• SSS

• Pythagorean

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.B.5

Anika, Luna, and Benjamin are trying to solve a geometry problem. They need to find the correct statement and reason for the proof shown. Can you help them?

Tags

CCSS.HSG.SRT.B.5

What is Reason C?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

Tags

CCSS.HSG.SRT.B.5

Hannah, Henry, and Noah are debating whether these triangles are congruent. Can you help them figure it out?

• Yes, by AAS

• Yes, by SAS

• Yes, by ASA

• No, this is the SSA case.

Tags

CCSS.HSG.SRT.B.5

Arjun, Ava, and William are trying to solve a geometry problem using the hypotenuse leg (HL) theorem. Before they can apply the HL theorem, they must first state...

• CPCTC

• The triangles are right triangles.

• That vertical angles are congruent.

• The reflexive property

Tags

CCSS.HSG.SRT.B.5

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS

• SSS

• SAS

• SSA

Tags

CCSS.HSG.SRT.B.5