Triangle Similarity Criteria and Properties

In this video, Professor Ever explains the criteria for determining the similarity of triangles. He introduces three main criteria: angle-angle, side-angle-side, and side-side-side. The angle-angle criterion states that two triangles are similar if two of their corresponding angles are congruent. The side-angle-side criterion requires two sides to be proportional and the included angle to be equal. Lastly, the side-side-side criterion involves all corresponding sides being proportional. Examples with triangles ABC and DEF illustrate each criterion. The video concludes with a summary of these concepts.

What is the primary purpose of the video tutorial?

• To explore the Pythagorean theorem

• To study the properties of circles

• To understand the criteria for triangle similarity

• To learn about the properties of quadrilaterals

Tags

CCSS.HSG.SRT.B.5

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

• Angle-Angle (AA)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

Tags

CCSS.HSG.SRT.A.2

According to the Angle-Angle (AA) criterion, two triangles are similar if:

• They have one pair of corresponding angles congruent

• They have two pairs of corresponding sides proportional

• They have two pairs of corresponding angles congruent

• They have all three pairs of corresponding sides proportional

Tags

CCSS.8.G.A.5

What is the sum of the interior angles of a triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Tags

CCSS.8.G.A.5

In the example given, what is the measure of angle B in triangle ABC?

• 60 degrees

• 56.3 degrees

• 90 degrees

• 45 degrees

Tags

CCSS.HSG.SRT.B.5

According to the Side-Angle-Side (SAS) criterion, two triangles are similar if:

• They have one pair of corresponding angles congruent

• They have two pairs of corresponding sides proportional and the included angle congruent

• They have all three pairs of corresponding sides proportional

• They have two pairs of corresponding angles congruent

What is the ratio of the sides AB to DE in the given example?

• 1/2

• 3/2

• 2

• 4/3

Tags

CCSS.HSG.SRT.A.2

According to the Side-Side-Side (SSS) criterion, two triangles are similar if:

• They have two pairs of corresponding angles congruent

• They have all three pairs of corresponding sides proportional

• They have two pairs of corresponding sides proportional and the included angle congruent

• They have one pair of corresponding angles congruent

Tags

CCSS.HSG.SRT.B.5

What is the constant of proportionality (k) in the given example for the SSS criterion?

• 1/2

• 3/2

• 2

• 4/3

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

What is the main takeaway from the video tutorial?

• Understanding the properties of quadrilaterals

• Learning the criteria for triangle similarity

• Exploring the Pythagorean theorem

• Studying the properties of circles

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6