Title: geometry
1geometry
2Geometric Applications are limitless.
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7- 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
9There are 3600 in every circle. This initial
definition allows for further angles to be
identified
10900
450
These are some more common angles
11Acute Angles (less than 90O)
A
C
B
12A
C
B
13Acute 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
14At this stage, check out the gizmo
15Supplementary Angles (SAT)
- Supplementary Angles must add to 180O
A B 180O
A
B
16Complementary Angles (CAT)
- Complementary Angles must add to 90O
A B 90O
A
B
17Opposite Angle Theorem (OAT)
- If 2 lines intersect, then the opposite angles
are equal.
O
X
X
O
18Shape Theorems
19Sum 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
20Isosceles Triangle Theorem(ITT)
The base angles of an Isosceles Triangle are equal
Y
X
21Equilateral Triangle Theorem(ETT)
X
X 60O
X
X
22Exterior Interior (EI)
- An exterior angle equals the sum of the opposite
two interior angles.
D A B
A
B
D
23Exterior Angles (EA)
- The exterior angles of a triangle and a
quadrilateral sum to 360O
A
A B C 360O
B
C
24Sum 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
25Exterior 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
27HomeFun YA!!!
- Page 348 1-4
- Page 352 1b, c, d, f, h
- Page 365 1a,c 2a,b