ifE Consider the diagram below.

Which of the following equations isalways true?

b

11A /.j..tAA ~ (J"".fa -V'r~J

G=a+~b x=b+c

c x=a-b

d x=b-c

Grade 9,Assessment of Mathematics, 2011

rml Consider the diagram below.

Which of the following is the value ofy

in the diagram? _ () _ (55"+ (QO -Ito!)a 550

~ - g&8 I) -:.Q~'O - l-CJ0

c 1250

t/) -:..-1'1)d 1300 J

~ What is the sum of the interior angles ofa 12-sided regular polygon?

rE A rectangular sign is built as shown below.The four supports for the back of the signform four congruent triangles.

What is the value of x?

a 260

a 10800e 1~c 19800

d 21600

@,-J)x/8o:::(0 >C 18'0:-1900

14Academic

Gi'2de S Assessment u? Ma"lhen12,tics, 20'iO

A custodian uses a lift to change lightbulbs in the gym. A cross-section of thelift is shown below.

Consider the diagrmu belov/.

)

'-/ :>

0101

1s=1 =10II 10

D

H

'7 'ues ofx andy?

hi' ,f;U~o "&0°'''' x=-,} ,Y=l,

01

What is the value of y?

~[) 76°

31 x = 39° and y = 1L!,l °

~ x = 39° andy = 39°

r, x = 1410 and y = 14,1°

17

Grade g, l'lsSeSsm6llt of fV1a(ilemstics, 20'i (I

A hydraulic arm swings from Point B to Point A, as shown in the diagram below.

aDetermine the values of x and y.

Justify yom answers using geometric properties.

J _0x= ~~_S__

y=

19

GI'aa6 9 Ass6ssrlt6n-t of IVlc;'lhernal:ics, Spring 2008

A Ferris wheel has six sides of equal length. The exit ramp of the ferris vvheel is in the shape of atrapezoid and has an angle of incline of 20°.

What are tlh,e values of x at'1d y?

Use gem11letric properties to justify your aIiS'Wei:'.

((;-2) X/1J-o::; L{- X" f 9v-;. ~?1J

1-w;~=- 1)..0 \)

~ ~ 100 -~oo

\{):::/00

"K +- Id--D +- Ib 0 -:::- 300 d::- VY\CVk.U1 CV c)vu.-€-

1(+ ;2'80 "=- 3{aO_ ~~o -d-~O

-

1'j

Grade 9 Assessment of Mathematics, 2010

m What's Missing?

Consider the diagram below.

Complete the table below.

Justify your answers using geometric properties.

Angle measure

x= 00°

Justification

v pp 05,; O'Y'S lL<> Ovt A Clrt ~

b:::= I~O - 9S" -10 S" ", ~)b ::.3D 0 (LttVlS Lw I V\ {A

"X. t ?JO ::..Lta. ~1\ -::~o 0 (~~ tl vi()

\'v1..J.eVl EN' ~ ~U#t\:

~ -;>..) X I50 •. l/\ ::::3b 0 -"1-2. - q-r -h-;:: ;).. 'f.. 160 <# ., V lJ\::.. \:3~ :>:::3b 0 0 u

C ~ n30 -IDS Ot-~ l<Qo- gs-c ~1-.;2.0 Gl ::::-qS-0 ~+YCJ0~ ~ '"')

15

Grade 9 Assessment of Mathematics, 2011

1m Slhazam

Pravin designs a lightning bolt using two quadrilaterals and one triangle as shown below.

Complete the table below.

Justify your answers using geometric properties.

16

Angie measure

<)

x= 03

y=~

Justification

Cl~ /50 -08 -;2-\ ~Q ~ B 1- 0 (~f£);y, tt l::::. )

'A -= I <00 ~ 97"-?< -:0 q30 C qf\-YC\ft~ 0Ni ")

lV\-+eN'lo.r~w llf-~))<(C60= J.. t:- ' 60~ -36 0

d~t 0!P Tt2.::: 3<00~'d t 1?/0 ~3bO

- I 30 -I~g_'") I 11

.-.Jd- cd-

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