Linear Measure

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Transcript Linear Measure

Linear Measure

Line Segment -

A measurable part of a line that consists of two points, called the endpoints, and all the points between them. A segment with endpoints S and T can be written as ST or TS. The length or measure of the segment is written as ST or TS.

Linear Measure

Betweenness -

A point is between two other points on the same line if and only if its coordinate is between their coordinates. (A-B-C if and only if ab>c) Given three collinear points X, Y, and Z, if Y is between X and Z, then XY + YZ = XZ.

Linear Measure

Congruent (

) –

Segments that have the same length. When superimposed, things that are congruent coincide exactly. In figures, items that are congruent are given the same markings.

Constructions –

Drawings made with a straightedge and compass.

a.

Find the length of .

Answer:

in.

b.

Find the length of .

Answer:

in.

a.

Find

SE

.

Answer:

in.

b.

Find

ON

.

Answer:

3.7 cm

c.

Find

a

and

AB

if

AB

4

a

+ 10,

BC

3

a

– 5, and

AC

19.

Answer: