Mathematics Grade 9 1 Geometry

Mathematics

1

Geometry

Grade 9

Straight Lines

1. Study the diagrams and fill in the correct statement or appropriate reason.

a)

Statement: 1 + 2 = 180?

Reason: ____________________________ ____________________________

b)

Statement: ________________________ Reason: exterior angle of a triangle equals the sum of the two opposite interior angles

c)

In right angled triangle ABC:

Statement:

2 = ____________________________ 2 = ____________________________

Reason: Pythagoras

2. Name the type of triangle or quadrilateral according to the information given.

Diagram a)

Name

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b)

Grade 9

c)

d)

e) > 90?

3. Determine the value of , and , in alphabetical order, for each diagram. All reasons must be given.

a)

Statement

Reason

50?

b)

38?

Statement

Reason

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c) The quadrilateral below is a parallelogram.

3 Statement

Reason

d) The quadrilateral below is a square.

Statement

Reason

Grade 9

e)

Statement

Reason

f) The quadrilateral below is a rhombus

50?

Statement

Reason

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Grade 9

4. Determine the value of , , , and , in alphabetical order, for each diagram. All reasons must be given.

a)

Q

U

80?

a

S c

b

120?

V

R

T

Statement

Reason

b)

U

Statement

P

Q b

35? e

Rd V

X

T

a

c

Y S W

Reason

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5. In the rhombus below, determine 1 with reasons.

L

M

Statement

50? K

2 1

N Reason

Grade 9

6. Determine the value of 2.

D

F

2 1

80? E

Statement

100?

A

20?

B

C

Reason

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