Triangle Congruence: ASA, SAS, & SSS Theorems

The video tutorial covers triangle congruence, focusing on the ASA, SAS, and SSS theorems. It provides examples to demonstrate how to prove triangles congruent using these theorems. The tutorial also discusses the importance of consistent naming and determining sufficient information for congruence.

What is the essential question of today's lesson?

• How does algebraic knowledge of lines help to solve problems about geometric concepts?

• What are the properties of parallel lines?

• How can we calculate the area of a triangle?

• What is the Pythagorean theorem?

What does ASA stand for in triangle congruence?

• Angle-Side-Angle

• Angle-Side-Side

• Side-Angle-Side

• Side-Side-Side

In the SAS theorem, what must be included between the two sides?

• An angle

• A midpoint

• A side

• A vertex

Which theorem requires three pairs of corresponding sides to be congruent?

• AAS

• SAS

• ASA

• SSS

When naming congruent triangles, what is important to maintain?

• Random order

• Consistency in naming

• Alphabetical order

• Shortest side first

What property states that a segment is congruent to itself?

• Reflexive property

• Symmetric property

• Transitive property

• Commutative property

Which angles are always congruent and are formed by two intersecting lines?

• Supplementary angles

• Vertical angles

• Adjacent angles

• Complementary angles

What additional information is needed to prove triangles congruent using the ASA theorem?

• The included side

• The included angle

• A third angle

• A third side

Can triangles be proven congruent using the AAA theorem?

• No, AAA is not sufficient

• Yes, AAA is sufficient

• Only if the sides are equal

• Only if the angles are right angles

What does the AAS theorem stand for?

• Angle-Angle-Side

• Angle-Side-Angle

• Side-Angle-Side

• Side-Side-Angle