Proving Triangles Congruent

The video tutorial covers the concept of congruent triangles, explaining that congruent triangles have corresponding congruent parts. It introduces methods to prove triangle congruence, such as Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA). The tutorial also discusses angle-side relationships and highlights methods that do not work for proving congruence. Practical examples and exercises are provided to reinforce the learning.

What does it mean for two triangles to be congruent?

• They have the same area.

• They have the same shape but different sizes.

• All corresponding parts are congruent.

• They have the same perimeter.

Which of the following is NOT a method to prove triangles are congruent?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Angle-Angle-Angle (AAA)

In the Side-Side-Side (SSS) method, what must be true?

• Two sets of corresponding sides and one set of corresponding angles are congruent.

• Three sets of corresponding sides are congruent.

• Three sets of corresponding angles are congruent.

• Two sets of corresponding angles and one set of corresponding sides are congruent.

What is the key feature of the Side-Angle-Side (SAS) method?

• The angle is between the two congruent sides.

• The angle is outside the two congruent sides.

• The sides are not congruent.

• The angle is not included between the sides.

In the Angle-Side-Angle (ASA) method, what is the position of the side?

• The side is not included between the angles.

• The side is parallel to the angles.

• The side is included between the angles.

• The side is outside the angles.

Which method requires two angles and a non-included side to be congruent?

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

Why does the 'booty theorem' not work for proving triangle congruence?

• It does not provide enough information.

• It only uses two sides.

• It uses three angles.

• It only uses two angles.

What additional information is needed to prove triangles are congruent by the ASA method?

• Two congruent sides.

• Three congruent sides.

• Two congruent angles and the included side.

• Three congruent angles.

What is the significance of vertical angles in proving triangle congruence?

• They are congruent only in right triangles.

• They are always congruent.

• They are never congruent.

• They are sometimes congruent.

Which method is used when two triangles share a side?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)