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geometry

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Geometry From the Greek words Geo = earth and metro = measure The branch of mathematics first popularized in ancient Greek culture by Thales (circa ... – PowerPoint PPT presentation

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Title: geometry


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geometry
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Geometric Applications are limitless.
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  • Geometry
  • From the Greek words
  • Geo earth and metro measure
  • The branch of mathematics first popularized in
    ancient Greek culture by Thales (circa 624-547
    BC) dealing with spatial relationships.

8
  • There are some geometric principles we remember

9
  • 3600

There are 3600 in every circle. This initial
definition allows for further angles to be
identified
10
  • 1800

900
450
These are some more common angles
11
Acute Angles (less than 90O)
A
C
B
12
A
C
B
13
Acute and Obtuse Angles lead us into the study of
triangles
  • Remember
  • Interior angles are found inside a triangle

e
i
i
i
e
e
Remember Exterior angles are found outside a
triangle
14
At this stage, check out the gizmo
15
Supplementary Angles (SAT)
  • Supplementary Angles must add to 180O

A B 180O
A
B
16
Complementary Angles (CAT)
  • Complementary Angles must add to 90O

A B 90O
A
B
17
Opposite Angle Theorem (OAT)
  • If 2 lines intersect, then the opposite angles
    are equal.

O
X
X
O
18
Shape Theorems
19
Sum of the Angles of a Triangle Theorem (SATT)
  • The sum of the Interior Angles of a Triangle is
    180O

a b c 180O
a
b
c
20
Isosceles Triangle Theorem(ITT)
The base angles of an Isosceles Triangle are equal
Y
  • X

X
21
Equilateral Triangle Theorem(ETT)
X
X 60O
X
X
22
Exterior Interior (EI)
  • An exterior angle equals the sum of the opposite
    two interior angles.

D A B
A
B
D
23
Exterior Angles (EA)
  • The exterior angles of a triangle and a
    quadrilateral sum to 360O

A
A B C 360O
B
C
24
Sum of the Angles Of a Quadrilateral Theorem
(SAQT)
  • The sum of the Interior Angles of a Quadrilateral
    is 360O

a b c d 360O
a
d
b
c
25
Exterior Angles
  • The exterior angles of a triangle and a
    quadrilateral sum to 360O

A B C D 360O
D
A
C
B
26
  • From the green workbook
  • Page 214
  • Page 217
  • Page 220
  • Page 224

27
HomeFun YA!!!
  • Page 348 1-4
  • Page 352 1b, c, d, f, h
  • Page 365 1a,c 2a,b
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