Properties of Triangles

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 side lengths?

Back

1. Equilateral: All sides are equal. 2. Isosceles: Two sides are equal. 3. Scalene: All sides are different.

Front

What are the types of triangles based on angles?

Back

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

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How do you classify a triangle with sides 22, 28, and 35?

Back

It is an acute triangle because all angles are less than 90°.

Front

What is the relationship between complementary angles?

Back

Two angles are complementary if the sum of their measures is 90°.

Front

What is the relationship between supplementary angles?

Back

Two angles are supplementary if the sum of their measures is 180°.

Front

If the longest side of a triangle is 10, what must be true about the other two sides?

Back

The sum of the lengths of the other two sides must be greater than 10.

Front

How do you classify a triangle with sides 48, 56, and 74?

Back

It is an obtuse triangle because one angle is greater than 90°.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are equal in length and all three angles are equal, each measuring 60°.