Exploring Triangle Congruence Theorems: SAS, ASA, and AAS

The video tutorial covers three triangle congruence theorems: Side Angle Side (SAS), Angle Side Angle (ASA), and Angle Angle Side (AAS). It explains how to identify and apply these theorems to prove triangle congruence, emphasizing the importance of recognizing vertical angles, shared sides, and parallel lines in diagrams. The tutorial provides examples and non-examples to illustrate the correct application of each theorem, highlighting the need for precise labeling and the use of given information only.

Which of the following is NOT one of the triangle congruence theorems?

• Angle-Angle-Angle (AAA)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

What should you look for first in a diagram to help prove triangle congruence?

• Right angles

• Equal sides

• Vertical angles

• Parallel lines

In the SAS theorem, where must the angle be located?

• At any vertex

• At the end of one side

• Between the two sides

• Outside the triangle

Which property is used when triangles share a side?

• Substitution property

• Transitive property

• Reflexive property

• Symmetric property

In a non-example of SAS, where is the angle located?

• Between the two sides

• Not between the two sides

• At the end of one side

• Outside the triangle

For the ASA theorem, what must be true about the side?

• It must be parallel to another side

• It must be between the two angles

• It must be perpendicular to one angle

• It must be the longest side

When using the ASA theorem, what additional information might you need?

• The length of the side

• The measure of the angles

• The shared side

• The vertical angles

In the AAS theorem, where is the side located?

• Outside the triangle

• At the end of one angle

• Between the two angles

• Not between the two angles

What is a key difference between ASA and AAS?

• The type of angles used

• The length of the side

• The number of angles involved

• The position of the side relative to the angles

What should you do if your triangles are drawn together in a diagram?

• Redraw the diagram

• Assume they are congruent

• Ignore the shared side

• Separate them and carry over the labels