Exploring SSS and SAS Congruence in Triangles

This video tutorial covers the concepts of triangle congruence using shortcuts such as Side-Side-Side (SSS) and Side-Angle-Side (SAS). It explains how to prove triangles are congruent using these methods and demonstrates the use of transformations to map congruent triangles onto each other. The tutorial provides examples and proofs to solidify understanding of these geometric principles.

What does it mean for two triangles to be congruent?

• Only one pair of corresponding sides is equal.

• All corresponding sides are equal but angles are different.

• All corresponding angles are equal but sides are different.

• All corresponding angles and sides are equal.

Which of the following is a shortcut to prove triangle congruence?

• Side-Angle-Angle

• Angle-Side-Angle

• Side-Side-Side

• Angle-Angle-Angle

If two triangles have three pairs of congruent sides, what can be concluded?

• The triangles are isosceles.

• The triangles are congruent.

• The triangles are similar.

• The triangles are right-angled.

In the given example, why are the triangles not congruent?

• Because no sides are congruent.

• Because only two sides are congruent.

• Because all sides are congruent.

• Because only one side is congruent.

What is the second shortcut to prove triangle congruence introduced in the lesson?

• Angle-Angle-Side

• Side-Angle-Side

• Angle-Side-Angle

• Side-Side-Angle

For SAS congruence, where must the angle be located?

• Between the two congruent sides.

• At the top of the triangle.

• At the vertex of the triangle.

• At the base of the triangle.

Why can't the triangles be proven congruent using SAS in the given example?

• The sides are not congruent.

• The angles are not congruent.

• The angle is not between the two sides.

• The triangles are not similar.

What is the first step in mapping congruent triangles onto each other?

• Rotation

• Reflection

• Translation

• Scaling

What is the purpose of using transformations in congruent triangles?

• To map them onto each other.

• To find the area of the triangles.

• To change the size of the triangles.

• To make them similar.

Which transformation involves flipping the triangle over a line of symmetry?

• Reflection

• Translation

• Rotation

• Scaling