Ch. 5 Review Geometry

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 6.5 feet and 9.2 feet, what is the greatest possible whole number measure for the third side?

Back

14 ft

Front

What is the condition for three lengths to form a triangle?

Back

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

Front

Can the lengths 5, 10, and 15 form a triangle?

Back

No, because 5 + 10 is not greater than 15.

Front

What is an incenter in a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all three sides.

Front

If point H is the incenter of triangle ABC, what can be said about angles A, B, and C?

Back

The incenter divides the angles into two equal parts.

Front

How many unique triangles can be formed with three given side lengths?

Back

One unique triangle can be formed if the side lengths satisfy the triangle inequality.

Front

What is the definition of a scalene triangle?

Back

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

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

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.