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
Now, Draw Your Own Lines.
  • Point
  • Line
  • Line Segment
  • Ray
  • Angles
  • Acute
  • Obtuse
  • Right
  • Intersecting Lines
  • Perpendicular Lines
  • Parallel Lines
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