SSS SAS ASA AAS Students will prove two

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SSS, SAS, ASA, & AAS Students will prove two triangles are congruent using the

SSS, SAS, ASA, & AAS Students will prove two triangles are congruent using the SSS, SAS, ASA, & AAS Postulates.

Yesterday we learned that… • … two polygons were congruent if all sides AND

Yesterday we learned that… • … two polygons were congruent if all sides AND all angles were congruent. • But that’s WAY more info than we need!!

Today we will learn… • …how to prove that two triangles are congruent by

Today we will learn… • …how to prove that two triangles are congruent by using: 1. 3 pairs of corresponding sides 2. 2 pairs of corresponding sides and 1 pair of corresponding angles 3. 1 pair of corresponding sides and 2 pairs of corresponding angles

Remember…? ? • A postulate is an accepted statement or fact!

Remember…? ? • A postulate is an accepted statement or fact!

Side-Side Postulate (SSS)

Side-Side Postulate (SSS)

Side-Angle-Side Postulate (SAS)

Side-Angle-Side Postulate (SAS)

Identifying Congruent Triangles Would you use SSS or SAS to prove the triangles congruent?

Identifying Congruent Triangles Would you use SSS or SAS to prove the triangles congruent? If there is not enough information, write not enough information.

Identifying Congruent Triangles Would you use SSS or SAS to prove the triangles congruent?

Identifying Congruent Triangles Would you use SSS or SAS to prove the triangles congruent? If there is not enough information, write not enough information.

Identifying Congruent Triangles Would you use SSS or SAS to prove the triangles congruent?

Identifying Congruent Triangles Would you use SSS or SAS to prove the triangles congruent? If there is not enough information, write not enough information.

Angle-Side-Angle Postulate (ASA)

Angle-Side-Angle Postulate (ASA)

Which two triangles are congruent by ASA?

Which two triangles are congruent by ASA?

Angle-Side Theorem (AAS)

Angle-Side Theorem (AAS)

NO TRANSPORTATION! • No AAA • No Donkeys

NO TRANSPORTATION! • No AAA • No Donkeys

 • List theorem/postulate that you would use to prove the two triangles are

• List theorem/postulate that you would use to prove the two triangles are congruent. If none apply, write not enough information. 1. 2. 3. 4.