Triangle Congruence

Triangle Congruence

by Scott Donnelly

Multiple Choice

What would be the equation to solve this?

• 4x+2x+42=180

• 4x-2x+42=180

• 4x=2x+42

Draw

Find x

Draw

Find $$\angle B$$

Multiple Choice

Which 2 angles are congruent?

• A and B

• A and C

• B and C

Multiple Choice

How would you write your equation to solve?

• 5x+5x+70=180

• 5x=70

• 5x+5x=70

Draw

Solve 5x+5x+70=180

Draw

Find $$\angle B$$  

​Reflexive Property

​Reflexive Property

The only time that you can add in a dash, if it is not told to you, is the reflexive property.

Multiple Choice

Is this SSS?

• Yes

• No

• Can not be determined

Multiple Choice

Is this SSS?

• Yes

• No

• Can not be determined

Multiple Choice

Vertical Angles are always

• Complementary

• Supplementary

• Congruent

• Adjacent

​Vertical Angles

The only time that you can add in that angles are congruent is when are vertical angles.

Multiple Choice

Is this SAS?

• Yes

• No

• Can not be determined

Multiple Choice

Is this SAS?

• Yes

• No

• Can not be determined

Multiple Choice

What information is missing to prove these 2 triangles are congruent?

• Missing Side

• Missing Angle

• Both

• Nothing is missing.

Multiple Choice

How do we know

$$\angle HIJ\cong\angle GIE$$  

• Vertical Angles

• Linear Pair

• Adjacent Angles

• None of the Above

Multiple Choice

What sides do we need to be congruent for SAS?

• $$HJ\cong EG$$  

• $$IJ\cong IE$$  

• $$IJ\cong EG$$  

Multiple Choice

What information am I missing to solve by SAS

• Missing Angle

• Missing Side

• Both

• None of the Above

Multiple Choice

What sides need to be congruent?

• $$WV\cong YZ$$  

• $$WU\cong YZ$$  

• $$WU\cong XZ$$  

• $$WV\cong XZ$$  

Multiple Choice

What information is missing for triangles to be congruent?

• Missing Angle

• Missing Side

• Both

• None of the Above

Multiple Choice

How do we know $$FG\cong FG$$  

• Vertical Angles

• Complementary

• Reflexive Property

• None of the Above

Multiple Choice

Which angles have to be congruent to solve by SAS?

• $$\angle E\cong\angle Q$$  

• $$\angle EGF\cong\angle FQG$$  

• $$\angle QFE\cong\angle EGQ$$  

• $$\angle QFG\cong\angle EFG$$  

Multiple Choice

Is this ASA?

• Yes

• No

Multiple Choice

Is this ASA?

• Yes

• No

Multiple Choice

What is missing for ASA?

• Angle

• Side

• Both

• Nothing

Multiple Choice

What angles would have to be congruent?

• $$\angle F\cong\angle A$$  

• $$\angle FHG\cong\angle AGH$$  

• $$\angle FHG\cong\angle AHG$$  

• $$\angle FGH\cong\angle AGH$$  

Multiple Choice

What is missing for ASA?

• Angle

• Side

• Both

• Nothing

Multiple Choice

Why are the angles below congruent?

$$\angle BCD\cong\angle KCI$$  

• Reflexive

• Complementary

• Vertical

• They are not congruent

Multiple Choice

What sides need to be congruent?

• $$BC\cong KC$$  

• $$DC\equiv IC$$  

• $$BD\cong IK$$  

• None of the Above

Multiple Choice

Is this AAS?

• Yes

• No

Multiple Choice

Is this AAS?

• Yes

• No

Multiple Choice

Is this AAS?

• Yes

• No

Multiple Choice

What is missing in the picture

• Side

• Angle

• Both

• Nothing

Multiple Choice

What sides need to be congruent for AAS?

• $$BC\cong VU$$  

• $$TV\cong BC$$  

• $$BD\cong TV$$  

Multiple Choice

What is missing here?

• Angle

• Side

• Both

• Nothing

Multiple Choice

What angles need to be congruent?

• $$\angle V\cong\angle L$$  

• $$\angle V\cong\angle J$$  

• $$\angle L\cong\angle X$$  

• Nothing

Poll

How are these triangles congruent, if they are?

• SSS

• SAS

• AAS

• ASA

• Not Congruent

Poll

How are these triangles congruent, if they are?

• SSS

• SAS

• AAS

• ASA

• Not Congruent

Poll

How are these triangles congruent, if they are?

• SSS

• SAS

• AAS

• ASA

• Not Congruent

Poll

How are these triangles congruent, if they are?

• SSS

• SAS

• AAS

• ASA

• Not Congruent

Poll

How are these triangles congruent, if they are?

• SSS

• SAS

• AAS

• ASA

• Not Congruent

Poll

How are these triangles congruent, if they are?

• SSS

• SAS

• AAS

• ASA

• Not Congruent

Poll

How are these triangles congruent, if they are?

• SSS

• SAS

• AAS

• ASA

• Not Congruent

Multiple Choice

Are these 2 triangles congruent by HL?

• Yes

• No

Multiple Choice

Are these 2 triangles congruent by HL?

• Yes

• No

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Draw

Find the missing information, use correct notation.

Draw

Find the missing information, use correct notation.