Perpendicular bisectors and angle bisectors

Front

Fill in the blank: A point that is the same distance from two figures is ___________________ from the two figures.

Back

Equidistant

Front

What is the dashed segment that divides an angle into two equal parts?

Back

Angle bisector

Front

What is the definition of a perpendicular bisector?

Back

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

Front

If a point lies on the perpendicular bisector of a segment, what can be said about its distance to the endpoints of the segment?

Back

It is equidistant from both endpoints.

Front

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

Back

Angle bisectors divide an angle into two equal angles.

Front

If the length of segment AB is 8, what is the length of each segment created by the perpendicular bisector?

Back

4 (each segment is half of the total length).

Front

What is the measure of an angle if its bisector divides it into two angles of 30 degrees each?

Back

60 degrees.

Front

If point M is the midpoint of segment AB, what can be said about segment AM and MB?

Back

AM is congruent to MB.

Front

What is the formula to find the length of a segment given its endpoints (x1, y1) and (x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

If the coordinates of points A(2, 3) and B(6, 7) are given, what is the midpoint M of segment AB?

Back

M = (4, 5).