SSS and SAS Day 2

Reflexive Property and

Vertical Angles​ in SSS and SAS

Today you will learn what the reflexive property and vertical angles are and how to apply them to congruent triangles.​

​All three pairs of corresponding sides are congruent

• All three sides have to marked as congruent

• or

• The triangles have to share a common side (reflexive property)

​SSS Review

​In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.

​​Reflexive Property

​

​

Multiple Choice

Does SSS prove the Triangles congruent?

• No, only two pairs of sides is marked as congruent

• Yes, all three sides are congruent because of reflexive property

Multiple Choice

Does SSS prove the triangles are congruent?

• No, only two sides are marked as congruent

• Yes, we can use reflexive property to mark the third side congruent

​Two sides are congruent

and

The angles between the sides are congruent

​

Remember.......

Vertical angles are congruent​ so when

you see them​ mark them as congruent.

​SAS Review

Multiple Choice

Does SAS prove the triangles are congruent?

• Yes

• No

Multiple Choice

Does SAS work to prove the triangles are congruent?

• No, there are no congruent angles

• Yes, two sides are congruent and the included angle is congruent because they are vertical angles

​Now it is time for you to practice..........

Multiple Choice

• Congruent by SAS

• Congruent by SSS

• Not enough information to determine if they are congruent.

Multiple Choice

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

• SSS

• SAS

• None

Multiple Choice

How are the triangles congruent?

• SAS

• SSS

• Not congruent

Multiple Choice

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

• SSS

• SAS

• Not congruent