Understanding Triangle Congruence Theorems

What are the two theorems introduced to prove triangle congruence?

• Side-Angle-Side and Angle-Side-Angle

• Angle-Side-Angle and Angle-Angle-Side

• Side-Side-Side and Side-Angle-Side

• Side-Side-Side and Angle-Angle-Angle

What does the Side-Side-Side (SSS) theorem state about triangles?

• If two triangles have three pairs of congruent angles, they are congruent.

• If two triangles have three pairs of congruent sides, they are congruent.

• If two triangles have two pairs of congruent sides and one pair of congruent angles, they are congruent.

• If two triangles have one pair of congruent sides and two pairs of congruent angles, they are congruent.

How can the Side-Angle-Side (SAS) theorem be used to prove triangle congruence?

• By showing three pairs of angles are congruent.

• By showing three pairs of sides are congruent.

• By showing two pairs of sides and the angle between them are congruent.

• By showing two pairs of angles and the side between them are congruent.

In the SSS theorem, what is not necessary to prove triangle congruence?

• The area of the triangles

• The sides of the triangles

• The angles of the triangles

• The perimeter of the triangles

When using the SSS theorem, what is crucial about naming the triangles?

• The names must include the angle measures.

• The names must start with the longest side.

• The names must reflect the corresponding order of sides.

• The names must be in alphabetical order.

What is a key aspect of the SAS theorem when identifying congruent triangles?

• The sides must be the longest sides.

• The angle must be a right angle.

• The angle must be the largest angle.

• The angle must be between the two sides.

In the SAS theorem, what must be true about the angle?

• It must be an obtuse angle.

• It must be the smallest angle.

• It must be a right angle.

• It must be between the two sides.

What happens if the order of points in a triangle congruence statement is incorrect?

• The statement is still valid.

• The statement is incorrect.

• The statement becomes ambiguous.

• The statement is partially correct.

Why is it important to ensure the correct order of points in congruence statements?

• To ensure the triangles are equilateral.

• To ensure the triangles are isosceles.

• To ensure the triangles are congruent.

• To ensure the triangles are similar.

What should you do if you don't understand the congruence theorems after watching the video?

• Ask a friend for the answers.

• Rewatch the video for better understanding.

• Ignore the parts you don't understand.

• Skip to the next topic.