# Geometry (Lines) SOL 4.14, 4.15, 4.16 - PowerPoint PPT Presentation

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## Geometry (Lines) SOL 4.14, 4.15, 4.16

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### Geometry (Lines) SOL 4.14, 4.15, 4.16 lines, segments, rays, points, angles, intersecting, parallel, & perpendicular 4.14 The student will investigate and describe ... – PowerPoint PPT presentation

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Title: Geometry (Lines) SOL 4.14, 4.15, 4.16

1
Geometry (Lines) SOL 4.14, 4.15, 4.16
• lines, segments, rays, points, angles,
intersecting, parallel, perpendicular
• 4.14 The student will investigate and describe
the relationships between and among points,
lines, line segments, and rays.
• 4.15 The student will
• a) identify and draw representations of points,
lines, line segments, rays, and angles, using a
straightedge or ruler and
• b) describe the path of shortest distance between
two points on a flat surface.
• 4.16 The student will identify and draw
representations of lines that illustrate
intersection, parallelism, and perpendicularity.

2
Point
• A point is an exact location in space.
• It has no length or width.
• Points have names represented with a Capital
Letter.
• Example

A
3
Lines
a
• A line is a collection of points going on and on
infinitely in both directions. It has no
endpoints.
• A straight line that continues forever
• It can go
• Vertically
• Horizontally
• Obliquely (diagonally)
• It is identified because it has arrows on the
ends.
• It is named by a single lower case letter.
• Example line a

4
Line Segment
B
C
D
A
• A line segment is part of a line. It has two
endpoints and includes all the points between
those endpoints.
• A straight line that stops
• It can go
• Vertically
• Horizontally
• Obliquely (diagonally)
• It is identified by points at the ends
• It is named by the Capital Letter End Points
• Example line segment AB or line segment AD

5
Ray
B
C
A
• A ray is part of a line. It has one endpoint and
continues on and on in one direction.
• A straight line that stops on one end and keeps
going on the other.
• It can go
• Vertically
• Horizontally
• Obliquely (diagonally)
• It is identified by a point at one end and an
arrow at the other.
• It can be named by saying the endpoint first and
then say the name of one other point on the ray.
• Example Ray AC or Ray AB

6
Angles
C
A
B
• Two Rays That Have the Same Endpoint Form an
Angle. This Endpoint Is Called the Vertex.
• Angles Are Found Wherever Lines and Line Segments
Intersect.

7
Angles
• An Angle Can Be Named in Three Different Ways by
Using
• Three Letters to Name, in This Order, Example
Angle BAC
• A Point on One Ray,
• The Vertex, and
• A Point on the Other Ray
• One Letter at the Vertex Angle A
• Or a Number Written Inside the Rays of the Angle.
Example Angle 1

8
Angles
• There are 3 types of angles
• Acute Angle Smaller than 90 degree opening
• Obtuse Angle Larger than 90 degree opening
• Right Angle 90 degree opening

C
A
B
C
A
B
9
Intersecting Lines
• Intersecting lines are lines that cross and have
one point in common.
• Example Line AC intersects Line DE at Point B

10
Perpendicular Lines
• Perpendicular lines are special intersecting
lines that form right angles (square corners)
where they intersect.

11
Parallel Lines
• Parallel lines are lines that lie on the same
flat surface (plane) and never cross.
• Parallel lines are always the same distance apart
and do not share any points.
• Example Line AB is Parallel to Line CD

C
D
A
B
12
Name That Line!
1.
3.
5.
2.
4.
13
Name That Angle!
7.
6.
8.
14
Name The Type of Lines!
11.
9.
10.
15