Redo Perpendicular 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

How do you find the midpoint of a segment?

Back

To find the midpoint of a segment with endpoints (x1, y1) and (x2, y2), use the formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the relationship between a point on the perpendicular bisector and the segment it bisects?

Back

A point on the perpendicular bisector of a segment is equidistant from the segment's endpoints.

Front

If segment AB has endpoints A(2, 3) and B(4, 7), what is the midpoint?

Back

Midpoint = ((2 + 4)/2, (3 + 7)/2) = (3, 5).

Front

What is the distance formula used for?

Back

Front

If point P is on the perpendicular bisector of segment XY, what can be said about the distances PX and PY?

Back

PX = PY; point P is equidistant from points X and Y.

Front

What is the significance of the slope of the perpendicular bisector?

Back

The slope of the perpendicular bisector is the negative reciprocal of the slope of the segment it bisects.

Front

How do you determine if a point lies on the perpendicular bisector of a segment?

Back

To determine if a point lies on the perpendicular bisector, check if it is equidistant from the segment's endpoints.

Front

What is the formula for the slope of a line given two points?

Back

Front

If the coordinates of points A and B are (1, 2) and (5, 6), what is the slope of line AB?

Back