Topic 5 Relationships in Triangles Practice

Front

What is the Triangle Inequality Theorem?

Back

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

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

What does the Hinge Theorem state?

Back

The Hinge Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first triangle is larger than the included angle of the second triangle, then the third side of the first triangle is longer than the third side of the second triangle.

Front

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

Back

Use 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 definition of a scalene triangle?

Back

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

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length.

Front

If angle 1 is greater than angle 2, what can be said about the lengths of the sides opposite these angles?

Back

The side opposite angle 1 is longer than the side opposite angle 2.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.