Included Sides and Included Angles of a Triangle

Front

What is an included angle in a triangle?

Back

An included angle in a triangle is the angle formed between two sides of the triangle.

Front

What is an included side in a triangle?

Back

An included side in a triangle is the side that lies between two specified angles.

Front

True or False: The included angle is always opposite the included side.

Back

False. The included angle is formed by the two sides that include it.

Front

In triangle ABC, which side is included between angles A and B?

Back

Side AB is included between angles A and B.

Front

In triangle XYZ, if angle Y is included between sides XY and YZ, what is the relationship?

Back

Angle Y is the angle formed by the intersection of sides XY and YZ.

Front

How do you identify the included angle between two sides of a triangle?

Back

The included angle is the angle that is formed by the two sides that meet at a vertex.

Front

What is the significance of included sides and angles in triangle congruence?

Back

Included sides and angles are crucial in triangle congruence criteria such as SAS (Side-Angle-Side) and ASA (Angle-Side-Angle).

Front

If angle C is included between sides BC and AC, what can be said about triangle ABC?

Back

Angle C is the angle formed by the intersection of sides BC and AC, and it is essential for determining the triangle's properties.

Front

What is the relationship between included angles and the sides opposite them?

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

In triangle DEF, if side DE is included between angles D and E, what does this imply?

Back

It implies that side DE is the side that connects points D and E, forming the included angle at vertex D and vertex E.