Triangle Congruence: SSS and SAS Concepts

The video tutorial covers triangle congruence theorems, focusing on Side-Side-Side (SSS) and Side-Angle-Side (SAS). It explains the concept of triangle rigidity, which ensures a triangle's shape is fixed if its side lengths are known. The SSS theorem is detailed, showing how three congruent sides in two triangles prove congruence. An example problem is solved using the SSS theorem. The tutorial also introduces the concept of an included angle and explains the SAS theorem, which uses two sides and the included angle to establish triangle congruence.

What does the term 'triangle rigidity' mean?

• A triangle's shape is fixed if its side lengths are known.

• A triangle can have multiple shapes with the same side lengths.

• A triangle can change its shape.

• A triangle's angles can change but not its sides.

Which of the following is a triangle congruence theorem?

• AAA

• ASA

• SSA

• SSS

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

• The triangles have the same area.

• The triangles have the same perimeter.

• The triangles are congruent.

• The triangles are similar.

In the SSS theorem, what does each 'S' stand for?

• Side

• Segment

• Angle

• Shape

What property states that a segment is congruent to itself?

• Vertical Angles Theorem

• Reflexive Property

• Transitive Property

• Symmetric Property

Which theorem is used when two triangles share a common side?

• SSS Theorem

• SAS Theorem

• Reflexive Property

• Vertical Angles Theorem

What is an included angle?

• An angle that is between two sides of a triangle.

• An angle that is outside the triangle.

• An angle that is congruent to another angle.

• An angle that is equal to 90 degrees.

In the SAS theorem, what does the 'A' stand for?

• Angle

• Arc

• Altitude

• Area

Which of the following is true for the SAS theorem?

• Two sides and a non-included angle of one triangle are congruent to two sides and a non-included angle of another triangle.

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

• Two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

• Two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

What is the main focus of the SAS theorem?

• Two angles and a side

• Three sides

• Two sides and an included angle

• Two sides and a non-included angle