Ch. 6 Flashcard Perp/Angle Bisect, Triangle Inequalities, Midsegment

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

Define 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

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

If two angles are complementary, what is their sum?

Back

The sum of two complementary angles is 90 degrees.

Front

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

Back

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

Front

How do you determine if a triangle can exist with given side lengths a, b, and c?

Back

A triangle can exist if the sum of the lengths of any two sides is greater than the length of the third side (Triangle Inequality Theorem).

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

If angle A is 50 degrees and angle B is 80 degrees, what is angle C in triangle ABC?

Back

Angle C = 180 - (50 + 80) = 50 degrees.

Front

What is the formula for finding the length of a midsegment in a triangle?

Back

The length of a midsegment is half the length of the third side of the triangle.