Segments Rays Lines and Planes 1 -4

Segments, Rays, Lines, and Planes 1 -4

Segments The part of a line consisting of two endpoints and all points between them AB or BA

Ray Part of a line consisting of one endpoint and all the points of the line on one side of that endpoint. XY

Opposite Rays Two collinear rays with the same endpoint that form a line.

Naming Segments and Rays Name the segments and rays in the figure below. LQ LP PL PQ QL QP

Parallel Lines Coplanar lines that never meet or intersect.

Skew Lines Noncoplanar lines that are not parallel and do not intersect

Identifying Parallel and Skew Segments a. Name all labeled segments that are parallel to DC. b. Name all labeled segments that are skew to DC.

1. Name all labeled segments that are parallel to GJ 2. Name all labeled segments that are skew to GJ 3. Name another pair of parallel and skew segments

Parallel Planes that do not intersect A line and a plane that do not intersect are also parallel. Plane ABCD ║ Plane GHIJ Plane ABCD ║ GH

1. Name 2 pairs of parallel planes 2. Name a line that is parallel to plane GHIJ

1. Name 3 pairs of parallel planes 2. Name a line that is parallel to plane QRUV

1. Name the segments 2. Name the rays 3. Name a pair of opposite rays with T as an endpoint 4. Name another pair of opposite rays

1. Name all segments that are parallel to the given segment 2. AC EF AD Name all segments that are skew to the given segment AC EF AD

Name a pair of parallel planes Name a line and a plane that are parallel

How to Draw Intersecting Planes

Measuring Segments 1 -5

Ruler Postulate The distance between any two points is the absolute values of the difference of the corresponding coordinates.

Ruler Postulate Difference means subtract. Therefore: Distance AB = a-b 4 -7 = -3 = 3

Find the length of each segment. AC = BD = AD = BE = CE = BC =

On a number line, X, Y, Z, and W are -7, -3, 1, and 5 respectively. Find the lengths of the segments. XY = WY = ZW = YZ = ZX = XW =

Congruent segments Congruence means that two figures are equal in size, and similar in shape. The symbol for congruence is Symbols can be marked to show they are congruent

Comparing Segment Lengths Find AB and BC. Are AB & BC congruent? AB = BC =

Comparing Segment Lengths Find CD and DE. Are CD & DE congruent? CD = DE =

Segment Addition Postulate Note that AB + BC = 6. Also note that AC = 6 If three points are collinear, and B is between A and C, then AB + BC = AC

If RS = 15, and ST = 9, then RT = ? 15 9

If DT = 60, find the value of x. Then find DS and DT. 2 x-8 3 x-12

If EG = 100, find the value of x. Then find EF and FG. 4 x-20 2 x+30

Midpoint The midpoint is a point that divides the segment into two congruent segments. A midpoint, or any line, ray, or segment through a midpoint, is said to bisect the segment. 8 8 16

Midpoint AB = BC = AC = 2 x+1 3 x-4

Midpoint XA = AY = XY = 3 X 5 X-6

Worksheets Worksheet 1 -4 Complete 1 -21(all) Worksheet 1 -5 Complete 1 -15 (all) Due Tomorrow