Transcript Essentials of Geometry: An Introduction to the Basics of

Essentials of Geometry:
An Introduction to the Basics of
Geometry
Mrs. Sangster
Term to Know
Point
• A point has no dimension.
•It is represented by a dot.
•It is named using a letter.
Example:
point A
Term to Know
Line
• A line is one dimensional.
•It extends in both directions without end.
•It is named using at least two points.
Example:
B
A
m
line AB or line m or AB
Term to Know
Plane
•A plane is two dimensional.
•It is represented by a flat surface similar to a wall or floor.
•It extends in all directions without end.
•It is named using at least three points.
Example:
A
C
plane ABC or plane P
P
B
Term to Know
Line Segment
•A line segment contains endpoints.
•It is named using the endpoints.
Example:
B
A
line segment AB or AB
Term to Know
Ray
• A ray contains one endpoint.
•It extends without end in one direction.
•It is named using the endpoint and one other point.
Example:
B
A
ray AB or AB
Check for Understanding
Name the following geometric figure.
G
A.) ray GH
B.) ray HG
C.) ray H
D.) ray G
H
Postulate to Know
Segment Addition Postulate
A
B
segment AB + segment BC = segment AC
C
Postulate to Know
Segment Addition Postulate
Example:
A
10
B
6
C
Find the length of segment AC.
segment AB + segment BC = segment AC
10 + 6 = segment AC
16 = segment AC
Postulate to Know
Segment Addition Postulate
Example:
A
x
B
14.5
C
22
Find the length of segment AB.
segment AB + segment BC = segment AC
x + 14.5 = 22
x = 7.5
Check for Understanding
GH = 29.6. Find the value of x.
G
x
F
21.8
A.) 21.8
B.) 8.7
C.) 51.4
D.) 7.8
H
Term to Know
Angle
• An angle is made up of two rays that share a common
endpoint.
•It is named using a point on each side and the vertex.
•Angles are classified into 4 different types.
Example:
B
A
angle BAC or <BAC or <A
C
Classifying Angles
Acute Angles
•Measure less than 90 degrees.
Obtuse Angles
•Measure greater than 90 degrees.
Classifying Angles
Right Angles
•Measure exactly 90 degrees.
Straight Angles
•Measure exactly 180 degrees.
Works Cited
Slide #1
No Author. “Holding the Sun”. Photograph. n.d. JPEG.
< http://www.maniacworld.com/holding-the-sun.html>
Slide #2
Tompsett, Michael. “Dot Map of the World”. Digital Art. 23 December 2010. JPEG.
< http://fineartamerica.com/featured/dot-map-of-the-world--colour-on-white-michael-tompsett.html>
Yoga. Night Sky Space Stars. Photograph. 8 April 2014. JPEG.
< http://actionforspace.com/night-sky-space-stars/>
Slide #3
No Author. Railroad Tracks. Photograph. n.d. JPEG.
< http://geovisualdic.blogspot.com/2012_09_01_archive.html>
Rowse, Darren. Converging Lines. Digital Photograph. n.d. JPEG.
< http://digital-photography-school.com/converging-lines/>
Slide #4
Tensor. “Never Ending Cornfield”. Photograph. n.d. JPEG.
< http://www.panoramio.com/photo/96460393>
No Author. Infinity Pool. Photograph. n.d. JPEG
< http://cdn.designrulz.com/wp-content/uploads/2011/11/infinity-pools.jpg>
Slide #5
No Author. Logs in River. Photgraph. n.d. JPEG.
<http://www.math.hope.edu/pow.html>
No Author. Office Buildings. Photograph. n.d. JPEG
<http://www.momentousins.com/blog/?m=201208>
Works Cited
Slide #6
No Author. Sunset with Sun Rays. Photograph. n.d. JPEG.
< http://www.thewilltochoose.com/?attachment_id=65>
Stanford, Wikimedia. Jet in Flight. Photograph. n.d. JPEG.
<http://www.wired.com/2010/05/laser-gallery/all/1>
Slide #10
No Author. Bird Beak. Photograph. n.d. JPEG.
< http://elgee18.files.wordpress.com/2011/06/pelican.jpg>
Terrain. Birdhouse. Photograph. n.d. JPEG.
< http://ecosalon.com/16-minimalist-birdhouses-to-go-totally-cuckoo-over/>
Content
McDougal and Littell. Geometry. Houghton Mifflin Harcourt, 2007. Print.