Triangle Congruence Concepts

The video introduces congruent figures, focusing on triangles. It explains the concept of correspondence and its importance in determining congruence. The video covers three methods to prove triangles congruent: Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA). It provides examples of proofs, emphasizing the importance of order in correspondence and using reflexive properties and subtraction in proofs.

What defines congruent figures?

• Figures with the same shape and size

• Figures with the same area

• Figures with the same perimeter

• Figures with the same color

Why is order important in triangle congruence?

• It changes the shape of the triangle

• It affects the size of the triangle

• It helps in matching corresponding parts

• It determines the color of the triangle

What does the SSS postulate state?

• Three angles of one triangle are congruent to three angles of another

• Two angles and a side are congruent

• Three sides of one triangle are congruent to three sides of another

• Two sides and an angle are congruent

In the SAS postulate, where is the angle located?

• At the apex of the triangle

• Between the two sides

• Outside the triangle

• At the base of the triangle

What is the key feature of the ASA postulate?

• Three angles are congruent

• Two sides and an angle are congruent

• Three sides are congruent

• Two angles and a side are congruent

In the SSS example proof, what is the common side used?

• AB

• BC

• CD

• DB

In the ASA example proof, which angles are proven congruent by subtraction?

• Angle 5 and Angle 6

• Angle 7 and Angle 8

• Angle 3 and Angle 4

• Angle 1 and Angle 2