Triangle Similarity: SSS, SAS, and AA Explained

This video serves as supplementary material for courses at Howard Community College, focusing on triangle similarity. It covers three types of similarity: side-side-side (SSS), side-angle-side (SAS), and angle-angle (AA). The instructor explains each type with examples, demonstrating how to determine if triangles are similar based on proportional sides and congruent angles. The video concludes with a summary of the concepts discussed.

What are the three types of triangle similarity discussed in the video?

• Side-Side-Side, Side-Angle-Side, Angle-Angle

• Side-Side-Side, Angle-Side-Angle, Angle-Angle

• Side-Side-Side, Side-Angle-Side, Angle-Side

• Side-Side-Side, Side-Side-Angle, Angle-Angle

In side-side-side similarity, what must be true for two triangles to be similar?

• Their corresponding sides are proportional

• Their corresponding angles are equal

• Their corresponding sides are equal

• Their corresponding angles are proportional

If side AB is 12 units and side DE is 8 units, what is the ratio of AB to DE?

• 3/2

• 4/3

• 12/8

• 8/12

What is the result of cross-multiplying the ratios 12/8 and 6/4?

• 32 and 48

• 60 and 60

• 48 and 48

• 48 and 32

In side-angle-side similarity, what must be true for two triangles to be similar?

• Two pairs of corresponding angles are congruent

• All corresponding sides are equal

• All corresponding angles are equal

• Two pairs of corresponding sides are proportional and the included angles are congruent

If side AB is 9 units and side AD is 12 units, what is the ratio of AB to AD?

• 12/9

• 9/12

• 4/3

• 3/4

What is the reduced form of the ratio 12/16?

• 12/8

• 4/3

• 16/12

• 3/4

In angle-angle similarity, what must be true for two triangles to be similar?

• Two pairs of corresponding sides are proportional

• Two pairs of corresponding angles are congruent

• All corresponding sides are equal

• All corresponding angles are equal

What type of angles are formed at point A when two lines intersect?

• Vertical angles

• Acute angles

• Right angles

• Obtuse angles

Which of the following pairs of angles are congruent in the given example of angle-angle similarity?

• Angle BAC and Angle DAE

• Angle BAC and Angle ABC

• Angle DAE and Angle ADE

• Angle ABC and Angle BAC