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 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 circle inscribed in the triangle.

Front

What is the formula for 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 does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

How can you determine if two lines are perpendicular using slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the measure of a right angle?

Back

A right angle measures 90 degrees.

Front

What is the relationship between the angles formed by perpendicular lines?

Back

The angles formed by perpendicular lines are complementary, meaning they add up to 90 degrees.

Front

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

Back

If an angle is bisected, each of the two resulting angles measures half of the original angle.