Included Angles and Sides in Triangles

This video tutorial helps geometers identify included sides and angles in triangles, a crucial skill for determining triangle congruence. It covers the concepts of included angles and sides, providing illustrations and examples to aid understanding. The tutorial emphasizes the importance of recognizing these elements to establish triangle congruence using methods like side-angle-side and angle-side-angle.

Why is it important to identify included sides and angles in triangles?

• To calculate the angles of the triangle

• To determine the area of the triangle

• To decide which triangle congruence applies

• To find the perimeter of the triangle

What is an included angle in a triangle?

• An angle that is formed by extending one side of the triangle

• An angle that is equal to 90 degrees

• An angle that is between two sides of the triangle

• An angle that is outside the triangle

In a triangle with sides IG and HG, what is the included angle?

• Angle I

• Angle H

• Angle G

• Angle IHG

How can you identify the included angle using vertex letters?

• The vertex is the letter that appears in both side names

• The vertex is the first letter of the triangle

• The vertex is the letter that appears only once

• The vertex is the last letter of the triangle

What is the included angle for sides AB and BC?

• Angle C

• Angle B

• Angle A

• Angle ABC

How can you identify the included angle in a triangle?

• By finding the angle opposite the longest side

• By measuring all angles and choosing the largest

• By identifying the angle between two given sides

• By selecting the angle with the smallest degree

What is the included angle for sides TS and WS?

• Angle TSW

• Angle W

• Angle S

• Angle T

What is the included angle for sides YZ and ZX?

• Angle Y

• Angle X

• Angle Z

• Angle YZX

What is the included angle for sides KM and PM?

• Angle K

• Angle KMP

• Angle M

• Angle P

What is the included angle for sides AB and BC?

• Angle ABC

• Angle C

• Angle B

• Angle A