Geometrypart 2

Geometric Applications are limitless….

3600

There are 3600 in every circle.

This initial definition allows for further angles to be identified

1800

These are some more common angles

900

450

Supplementary Angles (SAT)

Supplementary Angles must add to 180O

A + B = 180O

A B

Complementary Angles (CAT)

Complementary Angles must add to 90O

A + B = 90O

AB

Opposite Angle Theorem (OAT)If 2 lines intersect, then the

opposite angles are equal.

X XO

O

Shape Theorems

Sum of the Angles of a Triangle Theorem (SATT)

The sum of the Interior Angles of a Triangle is 180O

a

b c

a + b + c = 180O

Isosceles Triangle Theorem(ITT)

X X

The base angles of an Isosceles Triangle are equal

Y

Equilateral Triangle Theorem(ETT)

X X

XX = 60O

Stop here and complete the worksheet

Exterior Interior (EI)An exterior angle equals the sum of

the opposite two interior angles.

A

BD

D = A + B

Exterior Angles (EA)The exterior angles of a triangle

and a quadrilateral sum to 360O

A

B

C

A + B + C = 360O

Sum of the Angles Of a Quadrilateral Theorem

(SAQT)The sum of the Interior Angles of a

Quadrilateral is 360O

a

b c

a + b + c + d = 360O

d

Exterior AnglesThe exterior angles of a triangle

and a quadrilateral sum to 360O

A

B

C

A + B + C + D = 360O

D

From the green workbook

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