Test Review - Angles and Triangles

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

How can you classify triangles based on their angles?

Back

Triangles can be classified as acute (all angles less than 90°), right (one angle equal to 90°), or obtuse (one angle greater than 90°).

Front

What are the different types of triangles based on their sides?

Back

Triangles can be classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (all sides different).

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal to 60°.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths and all three angles are different.

Front

How do you determine if a triangle with given side lengths can exist?

Back

To determine if a triangle can exist with given side lengths, apply the Triangle Inequality Theorem: the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the relationship between the angles and the sides of a triangle?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

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

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How can you find the value of an unknown angle in a triangle?

Back

To find the value of an unknown angle in a triangle, subtract the sum of the known angles from 180 degrees.