1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the...

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1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR is a point, ray, line, line segment, or plane that intersects the segment at its midpoint. - A midpoint or a segment bisector BISECTS the segment.

Transcript of 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the...

Page 1: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

1.3 Use Midpoint and Distance Formulas

The MIDPOINT of a segment is the point that divides the segment into two congruent

segments.

A SEGMENT BISECTOR is a point, ray, line, line segment, or plane that intersects the

segment at its midpoint. - A midpoint or a segment bisector BISECTS

the segment.

Page 2: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

CAN YOU BISECT A LINE?

EXPLAIN!

1.3 Use Midpoint and Distance Formulas

Page 3: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

1.3 Use Midpoint and Distance Formulas

Page 4: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

Point M is the midpoint of Segment VW. Find the length of Segment VM.

1.3 Use Midpoint and Distance Formulas

Page 5: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

1.3 Use Midpoint and Distance Formulas

Page 6: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

a. Find the midpoint: The endpoints of Segment RS are R(1, -3) and S(4, 2). Find the coordinates of the midpoint.

b. Find the endpoint: The midpoint of Segment JK is M(2, 1). One endpoint is J(1, 4). Find the coordinate of the endpoint K.

1.3 Use Midpoint and Distance Formulas

Page 7: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

a. Find the midpoint: The endpoints of Segment RS are R(7, -2) and S(-5, -6). Find the coordinates of the midpoint.

b. Find the endpoint: The midpoint of Segment JK is M(5, 8). One endpoint is J(2, -3). Find the coordinate of the endpoint K.

1.3 Use Midpoint and Distance Formulas

Page 8: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

1.3 Use Midpoint and Distance Formulas

Page 9: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

What is the approximate length of Segment RS with endpoints R(2, 3) and S(4, -1)?

1.3 Use Midpoint and Distance Formulas

Page 10: 1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.

What is the approximate length of Segment PQ with endpoints P(2, 5) and S(-4, 8)?

1.3 Use Midpoint and Distance Formulas