Triangle Review

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on angles?

Back

1. Acute Triangle: All angles are less than 90 degrees. 2. Right Triangle: One angle is exactly 90 degrees. 3. Obtuse Triangle: One angle is greater than 90 degrees.

Front

What is the Pythagorean theorem?

Back

Front

What is the formula for the area of a triangle?

Back

Front

What does it mean for triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

What is the SAS postulate?

Back

The Side-Angle-Side (SAS) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA postulate?

Back

The Angle-Side-Angle (ASA) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS postulate?

Back

The Angle-Angle-Side (AAS) postulate states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of the opposite side in a triangle?

Back

The opposite side of an angle in a triangle is the side that does not touch the angle. For example, in triangle ABC, the side opposite angle C is side AB.

Front

How do you classify triangles based on side lengths?

Back

1. Equilateral Triangle: All three sides are equal. 2. Isosceles Triangle: Two sides are equal. 3. Scalene Triangle: All sides are of different lengths.