Perpendicular and Angle Bisectors

Front

What is an angle bisector?

Back

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

Front

What is the relationship between perpendicular lines?

Back

Perpendicular lines intersect at a right angle (90 degrees).

Front

How do you find the length of a segment in a triangle?

Back

You can use the Pythagorean theorem or properties of similar triangles to find the length of a segment.

Front

What is the measure of a right angle?

Back

A right angle measures 90 degrees.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of two complementary angles is 90 degrees.

Front

What is the definition of a segment?

Back

A segment is a part of a line that is bounded by two distinct endpoints.

Front

How do you calculate the measure of an angle using an angle bisector?

Back

To calculate the measure of an angle using an angle bisector, divide the angle's measure by 2.

Front

What is the significance of the point where angle bisectors intersect?

Back

The point where the angle bisectors of a triangle intersect is called the incenter, which is the center of the inscribed circle.

Front

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

Back

The length of a segment can be found using the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What is the measure of an angle if its bisector divides it into two angles of 38 degrees each?

Back

The measure of the original angle is 76 degrees.