Perpendicular and Angle Bisectors (Personalized Review)

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

How do you find the measure of an angle formed by two intersecting lines?

Back

Use the properties of vertical angles or the sum of angles in a triangle.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the ratio of the lengths of the two segments created by an angle bisector is equal to the ratio of the lengths of the other two sides of the triangle.

Front

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

Back

The sum of two complementary angles is 90 degrees.

Front

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

Back

The sum of two supplementary angles is 180 degrees.

Front

What is the relationship between perpendicular lines?

Back

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

Front

How do you determine if a line segment is a bisector?

Back

A line segment is a bisector if it divides another segment into two equal lengths.

Front

What is the formula for finding the length of a segment given its endpoints?

Back

The length of a segment with endpoints (x1, y1) and (x2, y2) is given by the formula: √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

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

Front

How do you find the measure of an angle using the properties of isosceles triangles?

Back

In an isosceles triangle, the angles opposite the equal sides are equal.