1.07 Triangle Congruence Notes + Practice

​1.07 Triangle Congruence

By Melodie Hunt

Warm - Up: Review of 1.06 Congruent Figures

On the next two slides, you will see review material of yesterday's class material. That will be followed by 5 questions. Review the two slides and answer the five questions for today's warm-up.

Multiple Choice

What is the corresponding angle to $$\angle X$$  ?

• $$\angle K$$  

• $$\angle I$$  

• $$\angle J$$  

Multiple Choice

What is the corresponding side to $$\overline{IK}$$  ?

• $$\overline{VX}$$   

•   $$\overline{VW}$$  

• $$\overline{XW}$$   

Multiple Choice

If ∆PIG ≅ ∆COW, WO≅?

• GI
• PI
• PG

Multiple Choice

Remember order matters. Which of the following is true?

• ∆FGH ≅ ∆VHW

• ∆HFG ≅ ∆HWV

• ∆HGF ≅ ∆VHW

• ∆FGH ≅ ∆VWH

Multiple Choice

If Triangle ABC is congruent to Triangle EFG, what is the length of FG?

• 3 inches
• 5 inches
• 90 inches
• 4 inches

Multiple Choice

• AAA
• SAS
• SSS
• SSA

Multiple Choice

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

• A
• B
• C
• D

Multiple Choice

Determine if the two triangles are congruent. If they are, state the postulate.

• Not enough information

• ASA

• AAS

• SSS

Multiple Choice

Determine if the two triangles are congruent. If they are, state the postulate.

• Not enough information

• ASA

• SAS

• SSS

Multiple Choice

• Congruent by ASA
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

Multiple Choice

State if the triangles are congruent and why.

• AAS
• ASA
• Not congruent
• SSS

Multiple Choice

State if the triangles are congruent and why.

• Not congruent
• AAS
• SSS
• ASA

Multiple Choice

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

• HL
• SSA
• SAS
• AAS

Multiple Choice

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

• A
• B
• C
• D

Multiple Choice

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

• ASA
• SSS
• SAS
• HL

Multiple Choice

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

• A
• B
• C
• D

Multiple Choice

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

• Not enough information
• SAS
• SSA
• AAS

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• ASA
• AAS
• Not Possible

Now you try some problems on your own.

Multiple Choice

What are the five ways to prove triangles congruent?

• SSS, ASA, AAS, SAS, HL
• SSS, SSA, HL, AAS, SAS
• SAS, SSA, HL, AAS, SSS
• HL, SAS, SSA, SSS, ASA

Multiple Choice

Using the fact that vertical angles are congruent, which theorem proves the triangles are congruent.

• SAS

• ASA

• AAS

• HL

Multiple Choice

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

• A
• B
• C
• D

Multiple Choice

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

• HL

• AAS
• SAS
• AAA

Multiple Choice

Are these triangles congruent?

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

Multiple Choice

Determine if the two triangles are congruent. If so, state the postulate.

• ASA

• Not enough information

• SSS

• SAS

Multiple Choice

Determine if the two triangles are congruent. If they are, state the postulate.

• SSS

• AAS

• Not enough information

• SAS

Multiple Choice

Determine if the two triangles are congruent. If they are, state the postulate.

• ASA

• AAS

• Not enough information

• SSS

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• ASA
• AAS

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

REMEMBER: Triangles that share a side means that side is congruent to itself.

• SAS
• ASA
• AAA

• AAS

Multiple Choice

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

• SSS
• SAS
• AAS
• ASA