Mathematics Grade 9 1 Geometry

Mathematics

1

Grade 9

Geometry

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

Mathematics

b)

2

Grade 9

c)

d)

e)

??? > 90��

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

a)

50��

b)

??

Reason

Statement

Reason

??

??

??

Statement

38��

Mathematics

3

c) The quadrilateral below is a

parallelogram.

??

Grade 9

Statement

Reason

Statement

Reason

??

d) The quadrilateral below is a

square.

??

??

e)

??

??

50��

??

??

Reason

Statement

Reason

??

f) The quadrilateral below is a

rhombus

??

Statement

Mathematics

4

Grade 9

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

given.

a)

Q

80��

U

a

S

b

120��

R

c

V

T

Statement

Reason

b)

P

X

Q

b

35 ��

U

R

V

Statement

c

a

e

S

d

W

Reason

T

Y

Mathematics

5

Grade 9

?1 with reasons.

5. In the rhombus below, determine ??

L

K

50 ��

N

Reason

?2 .

6. Determine the value of ??

D

F

1

2

80��

A

Statement

2

1

Statement

M

100��

E

20��

C

B

Reason

 ................
................

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