6.1: Perpendicular/ Angle Bisector Theorem

Front

What is the Perpendicular Bisector Theorem?

Back

The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

Define an angle bisector.

Back

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

Front

What is the relationship between the angles formed by a perpendicular bisector and the segment it bisects?

Back

The angles formed by a perpendicular bisector and the segment it bisects are right angles (90 degrees).

Front

If point D is on the perpendicular bisector of segment EI, what can be said about distances DI and DE?

Back

DI = DE; point D is equidistant from points I and E.

Front

Write the equation of the perpendicular bisector of the line segment connecting points A(3,-3) and B(1,-1).

Back

y = x - 4.

Front

What is the slope of a line that is perpendicular to a line with slope m?

Back

The slope of a line that is perpendicular to a line with slope m is -1/m.

Front

If the slope of a line is 4, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/4.

Front

What is the formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you determine if two lines are perpendicular using their slopes?

Back

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

Front

What is the equation of a line with slope 4 that passes through the point (-2, 5)?

Back

y = 4x + 13.