Proving Triangles Congruent Concepts

The video tutorial provides a comprehensive guide on congruence theorems, including Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, and Hypotenuse-Leg. It explains how to use these theorems to prove triangles congruent, discusses reasons for congruent sides and angles, and introduces the concept of CPCTC. The tutorial emphasizes the importance of using color coding for clarity and provides a cheat sheet for quick reference.

Why does the teacher recommend using different colors for notes?

• To follow a school rule

• To help the notes stand out and be more organized

• To make the notes look pretty

• To use up extra pens

What must be true for triangles to be congruent by the Side-Side-Side (SSS) theorem?

• Two pairs of congruent angles and one pair of congruent sides

• Three pairs of congruent sides

• Two pairs of congruent sides and one pair of congruent angles

• Three pairs of congruent angles

In the Side-Angle-Side (SAS) theorem, where is the angle located?

• Outside the triangle

• In between the two sides

• At the end of the two sides

• At the midpoint of one side

For the Angle-Side-Angle (ASA) theorem, what is the position of the side?

• In between the two angles

• At the end of the two angles

• Outside the two angles

• At the midpoint of one angle

In the Angle-Angle-Side (AAS) theorem, where is the side located?

• In between the two angles

• Outside the two angles

• At the midpoint of one angle

• At the end of the two angles

What does the Hypotenuse-Leg (HL) theorem state?

• Two right triangles are congruent if their hypotenuse and one corresponding leg are congruent

• Two right triangles are congruent if one leg is congruent

• Two right triangles are congruent if their hypotenuses are congruent

• Two right triangles are congruent if their angles are congruent

What does the reflexive property state?

• A side is congruent to itself

• A side is congruent to another side

• An angle is congruent to another angle

• An angle is congruent to itself

What must be true for alternate interior angles to be congruent?

• The angles must be vertical

• The angles must be adjacent

• The lines must be parallel

• The lines must be perpendicular

What does CPCTC stand for?

• Congruent Parts of Corresponding Triangles are Corresponding

• Corresponding Parts of Congruent Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

Which of the following is NOT a reason for congruent sides?

• Vertical angles

• Reflexive property

• Angle bisector

• Definition of a midpoint