Triangle Congruence: SAS vs. ASA Theorems

This video tutorial introduces and compares the Side Angle Side (SAS) and Angle Side Angle (ASA) triangle congruence theorems. It begins with a recap of the SAS theorem, explaining that two triangles are congruent if they have two congruent sides and a congruent angle between them. The video then covers the ASA theorem, which states that two triangles are congruent if they have two congruent angles and a congruent side between them. The tutorial visually compares these theorems to help viewers understand their differences and choose the appropriate one when analyzing congruent triangles.

What does the Side Angle Side (SAS) theorem require to declare two triangles congruent?

• Two congruent sides and one congruent angle between them

• Two congruent angles and any side

• Two congruent angles and one congruent side between them

• Three congruent sides

In the context of triangle congruence, what does SAS stand for?

• Side Angle Side

• Segment Angle Side

• Side Angle Segment

• Segment Angle Segment

Which theorem would be appropriate if two sides and the angle between them are congruent in two triangles?

• ASA

• SSS

• SAS

• AAS

What is the key condition for the Angle Side Angle (ASA) theorem to apply?

• Three congruent angles

• A side between two congruent angles

• Two congruent sides and any angle

• An angle between two congruent sides

Which theorem is used when you have two congruent angles and a side in between them?

• AAS

• SAS

• ASA

• SSS

How does the ASA theorem differ from the SAS theorem?

• ASA requires two sides and an angle, SAS requires two angles and a side

• ASA requires three sides, SAS requires two angles and a side

• There is no difference

• ASA requires two angles and a side, SAS requires two sides and an angle

Which theorem involves two congruent angles with a side in between?

• AAS

• ASA

• SSS

• SAS

What should be kept in mind when applying triangle congruence theorems?

• The specific requirements of each theorem

• The color of the triangles

• The size of the triangles

• The number of triangles