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1.6: Midpoint and Distance in the Coordinate Plane

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Presentation on theme: "1.6: Midpoint and Distance in the Coordinate Plane"— Presentation transcript:

1 1.6: Midpoint and Distance in the Coordinate Plane

2 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.

3 Midpoint Formula

4 Find the midpoint of the following:

5 Find the midpoint of the following:

6 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.

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

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

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

10 Choose the best answer.

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13 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.

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

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