1.6: Midpoint and Distance in the Coordinate Plane

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Presentation transcript:

1.6: Midpoint and Distance in the Coordinate Plane

A segment bisector is a segment, ray, line, or plane that intersects a segment at its MIDPOINT. An ANGLE BISECTOR is a ray that divides an angle into two adjacent, congruent angles.

Midpoint Formula

Find the midpoint of the following:

Find the midpoint of the following:

The midpoint of a segment is (3, – 4) The midpoint of a segment is (3, – 4). One endpoint of the segment is (– 3, – 1). Find the other endpoint.

Given M, the midpoint of , and A, one endpoint, find B, the other endpoint. M(0, 1), A(2, 4)

Given M, the midpoint of , and A, one endpoint, find B, the other endpoint. M(–3, 1), A(6, –3)

If B is the midpoint of . Find AB, BC, and AC.

Choose the best answer.

Find the following if is the bisector of <AOC, and m<AOB = (2x – 4)o and m<BOC = (3x – 16)o. Find m<AOB, m<BOC, and m<AOC.

Find m<AOB, m<BOD, m<COD, m<AOD, and m<AOC.