1-4 Measuring Segments (part 1).

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Presentation transcript:

1-4 Measuring Segments (part 1)

Ruler Postulate The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the numbers.

Coordinate Position on a line

Congruent Segments Segments with the same length

Find the length of each segment Find the length of each segment. Tell whether the segments are congruent.

Midpoint a point that divides a segment into two congruent segments. A segment, ray, line, or anything through the midpoint is said to bisect a segment.

Segment Addition Postulate If three points A, B, and C, are collinear and B is between A and C, then AB + BC = AC

Example 1 AB = 25 Find x, AN, and NB

Example 2 M is the midpoint of RT. Find RM, MT, and RT.

Practice EG = 100. Find x, EF, and EG.

Practice If Z is the midpoint of segment XY and XY = 27, find XZ.

Exit Slip Homework