Geometry: Unit 4 Review

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

Given two sides of lengths 5 and 9, can they form a triangle with a third side?

Back

No, because 5 + 9 = 14, which is not greater than the third side (14).

Front

What is the range of possible lengths for the third side of a triangle with sides 17 and 12?

Back

5 < x < 29.

Front

How do you determine if three lengths can form a triangle?

Back

Use the Triangle Inequality Theorem: check if the sum of any two sides is greater than 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 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 do you order the sides of a triangle based on angle measures?

Back

Order the sides from shortest to longest based on the angles from smallest to largest.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle with all sides of different lengths.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle with all three sides of equal length.