Triangle Similarity Concepts: AA, SSS, SAS

The video tutorial covers triangle similarity, focusing on the AA, SSS, and SAS criteria. It explains theorems and postulates used to prove triangle similarity, provides examples and exercises, and discusses advanced proofs. The tutorial concludes with real-world applications and a summary of key concepts.

Which of the following is NOT a criterion for triangle similarity?

• Angle-Angle (AA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

If two angles of one triangle are congruent to two angles of another triangle, which similarity criterion can be used?

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle (AA)

• Angle-Side-Angle (ASA)

In the Angle-Angle (AA) similarity criterion, how many pairs of corresponding angles need to be congruent?

• One pair

• Two pairs

• Three pairs

• Four pairs

If three sides of one triangle are proportional to three sides of another triangle, which similarity criterion is used?

• Angle-Angle (AA)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

Which of the following is true for the Side-Side-Side (SSS) similarity criterion?

• Three angles are proportional

• Two angles and the included side are proportional

• Three sides are proportional

• Two sides and the included angle are proportional

In the Side-Angle-Side (SAS) similarity criterion, what must be true about the included angle?

• It must be a right angle

• It must be congruent

• It must be an obtuse angle

• It must be an acute angle

Which similarity criterion is used if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent?

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle (AA)

When verifying triangle similarity, what is the first step?

• Check if all angles are congruent

• Check if all sides are proportional

• Identify corresponding sides and angles

• Calculate the area of the triangles

If triangle ABC is similar to triangle DEF, and AB/DE = 2/3, what is the ratio of BC/EF?

• 1/2

• 3/2

• 2/3

• 2/1

In a problem where you need to find the length of a side in a similar triangle, what should you do first?

• Calculate the perimeter

• Set up a proportion using corresponding sides

• Measure the angles

• Draw the triangles to scale