Finding Congruent Triangles Using Postulates

The video tutorial explores the concept of triangle congruency by examining five different triangles. It explains the congruency postulates, such as side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), and angle-angle-side (AAS). The tutorial then analyzes specific triangles, mapping their vertices to identify congruent pairs and highlighting one triangle that does not have a congruent counterpart.

Which of the following is a triangle congruency postulate?

• Angle-Angle-Angle (AAA)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Angle (SSA)

What is required for two triangles to be congruent by the Side-Side-Side (SSS) postulate?

• Two sides and the included angle are the same

• Two angles and the included side are the same

• All three sides are the same

• All three angles are the same

In triangle ABC, what are the given measurements?

• 7, 70 degrees, 40 degrees

• 7, 50 degrees, 40 degrees

• 7, 60 degrees, 50 degrees

• 7, 60 degrees, 40 degrees

For triangle ABC to be congruent to another triangle using AAS, what must be true?

• The triangles must have the same area

• The triangles must have the same perimeter

• The order of angles and sides must be the same

• The triangles must be identical in size

Which triangle has the same angle measurements as triangle ABC but in a different order?

• Triangle MNO

• Triangle JKL

• Triangle GHI

• Triangle DEF

What is the correct congruence statement for triangle ABC and its congruent triangle?

• Triangle ABC is congruent to triangle DEF

• Triangle ABC is congruent to triangle GHI

• Triangle ABC is congruent to triangle JKL

• Triangle ABC is congruent to triangle MNO

Which congruency postulate is used to determine that triangles DEF and HGI are congruent?

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

What is the correct congruence statement for triangles DEF and HGI?

• Triangle DEF is congruent to triangle HGI

• Triangle DEF is congruent to triangle JKL

• Triangle DEF is congruent to triangle MNO

• Triangle DEF is congruent to triangle ABC

Why is the final triangle not congruent to any of the others?

• It has different side lengths

• The order of angles and sides does not match

• It is not a triangle

• It has different angle measurements

What is the angle measurement of the final triangle that prevents it from being congruent to the others?

• 60 degrees

• 80 degrees

• 40 degrees

• 100 degrees