Perpendicular Bisectors and Angle Bisectors

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 length of a segment given its endpoints?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the relationship between angle bisectors and the angles they bisect?

Back

An angle bisector divides an angle into two equal angles.

Front

If angle ABC measures 34°, what is the measure of angle CBD if it is the same?

Back

Angle CBD also measures 34°.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two congruent angles.

Front

How can you identify a perpendicular bisector in a figure?

Back

Look for a line that intersects a segment at its midpoint and forms right angles with it.

Front

If segment GH = 16 and segment CH = 12, what is the total length of segment GCH?

Back

The total length of segment GCH is 28.

Front

What is the measure of an angle if it is bisected and the original angle is 68°?

Back

The measure of each bisected angle is 34°.

Front

What is the significance of the perpendicular bisector in triangle construction?

Back

The perpendicular bisector of a side of a triangle is the locus of points equidistant from the endpoints of that side.

Front

If x = 3, what is the measure of angle ABD if ∠ABD = 9x?

Back

The measure of angle ABD is 27°.