Triangle Congruence Rules and Applications

The video tutorial covers the concept of triangle congruence, explaining three main criteria: Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA). It provides examples of each criterion using triangles PQR and ABC, demonstrating how congruence is determined. The tutorial also includes a practical guide on how to draw a triangle when given two angles and one side, reinforcing the ASA criterion. The session concludes with a summary of the congruence rules and their applications.

What is the SSS rule in triangle congruence?

• When two sides and the included angle are equal.

• When three sides of one triangle are equal to three sides of another triangle.

• When two angles and the included side are equal.

• When all angles are equal.

In the SSS rule, which of the following is true?

• Only two sides need to be equal.

• All three sides of one triangle must match all three sides of another triangle.

• Only the angles need to be equal.

• The triangles must be right-angled.

What does the SAS rule state about triangle congruence?

• All angles must be equal.

• Two sides and the included angle must be equal.

• Two angles and a side must be equal.

• Three sides must be equal.

In the SAS rule, what is the significance of the included angle?

• It is the smallest angle in the triangle.

• It is the angle between the two equal sides.

• It is the angle opposite the longest side.

• It is the angle opposite the shortest side.

What is the ASA rule in triangle congruence?

• Two sides and the included angle are equal.

• Three sides are equal.

• All angles are equal.

• Two angles and the included side are equal.

How can you determine if two triangles are congruent using the ASA rule?

• By checking if all angles are equal.

• By checking if two sides and the included angle are equal.

• By checking if all sides are equal.

• By checking if two angles and the included side are equal.

What is the first step in drawing a triangle using the ASA rule?

• Draw the longest side first.

• Draw a rough sketch of the triangle.

• Measure the angles with a protractor.

• Draw all sides equal.

When drawing a triangle using the ASA rule, what tool is used to measure angles?

• Ruler

• Compass

• Protractor

• Set square

What is the final step in constructing a triangle using the ASA rule?

• Measure the angles again.

• Join the points to complete the triangle.

• Check if all sides are equal.

• Draw a circle around the triangle.

Which of the following is NOT a criterion for triangle congruence?

• AAA

• ASA

• SAS

• SSS