_______
_______
______
______
_______
______
Geomerty and Similar Triangles Practice Test
MFM 2P1
Part A: Answer the following question in the space provided.
1 Classify the following triangles by
.
i) sides
ii) angles
b)
a)
i) sides:
i) sides:
ii) angles:
ii) angles:
2. Determine the values of the variables.
b)
a)
c)
a
a=
d=______
c=
e=
b=______
f)
e)
d)
f
J=
h=
3. Match the phrase in
with the correct definition in
A
by putting the correct letter in the blank.
B
(a) Two angles that add to 1800
A 90° angle
(b) A reflex angle
Complementary Angles
(c) A right angle
A 180° angle
(d) A straight angle
An angle greater than 1 80° but less than 360°
(e) Two angles that add to 90°
Supplementary Angles
4. Why are the following triangles similar?
A
C AB
z AR
5. Why are the following triangles similar?
F
6
G
5
4
8
10
Q
3
R
E
Part B:
Answer the following question in the space provided.
Show full solutions like the ones done in class.
1 In a survey, 8 out of 45 people ate fruit at lunch.
In a school with 1320 students about how many ate fruit at lunch? Answer to the nearest student.
.
2. During a chemical reaction potassium and oxygen combine in the ratio 2 to 13 by mass.
How much oxygen must combine with 5.7 grams of potassium during the reaction?
Answer to 1 decimal place.
3. Determine the value of x decimal place if necessary. Show your work.
x
b) 5
a)
13
x
11
4. Sam is building a patio fence using sections with dimensions as shown. A cross—brace is required.
Determine the length of the cross—brace to 2 decimal places.
2.44m
t
::uEEE
1.83 m
Cross Brace
Part C: Answer the following questions in the space provided usin2 similar trian2les.
Be sure to mark equal angles.
You must have full solutions, like the ones done in class.
1
.
Determine the values of the variables x and y to 1 decimal place.
20.5
y
12
x
11
8
2. Determine the value of x to 1 decimal place.
x
75
3. To find the distance x across a pond, surveyors measured the distances shown. Use these distances to
calculate the distance across the pond.
4. Determine the distance, x, across the river to one decimal place.
25m
River
x
30 m
75 m
Geomerty and Similar Triangles Practice Test
MFM 2P1
Part A: Answer the following question in the space provided.
1 Classify the following triangles by
.
i) sides
ii) angles
b)
a)
Tsoctc
i) sides:
i) sides:
ii) angles:
ii) angles:
2. Determine the values ofthe variables.
b)
a)
a
a=
!55
f,b
c=
d=
e=____
°
b=
5
2
0
e)
d)
“:‘
f
f= (IC)
.
Match the phrase in
with the correct definition in
j=___
( er:I4er&)
h=______
\%%::Lo° F ‘I
3
(z)
g=______
by puffing the correct letter in the blank.
B
A
(a) Two angles that add to 1800
( C)
A 90° angle
(b) A reflex angle
(e)
Complementary Angles
(c) A right angle
(c1)
A180°angle
(d) A straight angle
()
An angle greater than 1 80° but less than 360°
(e) Two angles that add to 90°
( ‘ ‘)
Supplementary Angles
4. Why are the following triangles similar?
44
b
C%otte!&bd, ,j
arirt
A
AcLA
C
44, r1qo
QetM
5. Why are the following triangles similar?
ctcLer q(s
F
G
Lf
I0
Q
R
3
E
Part B:
Answer the following question in the space provided.
Show full solutions like the ones done in class.
1 In a survey, 8 out of 45 people ate fruit at lunch.
.
In a school with 1 320 students about how many ate fruit at lunch? Answer to the nearest student.
fAILI
:
At
IIT&L
;qç:
‘1
(:i?w
—---,
-
(t4’)
‘,
(t32..1)
ciLg
.(
p
4
SiJlbk’ L•.
t%f
2. During a chemical reaction potassium and oxygen combine in the ratio 2 to 13 by mass.
9
during the reaction
How much
t v must combine with 5 7 grams of
1 “
Answer to 1 decimal place.
‘
Pd
4 ss;
t4t i’#.m
6 y’
f
1
.
0
I?
()
‘3
(c1)
F
).T
•
%‘e
3•
7Pb 1I
0
-j
rtlb%c
L.JI$*
(cctA
r#
t
4
3 Determine the value of x decimal place if necessary. Show your work.
.
x
b)
a)
x
13
11
&z c(’
4
1
?_o
4o(
I4
•
231
x
I5z.
4. Sam is building a patio fence using sections with dimensions as shown. A cross—brace is required.
Determine the length ofthe cross—brace to 2 decimal places.
2.44m
t
1.83 m
-.--..
Cross Brace
••%...Li
T’
\
tc)r
a.
o
3
3,oc
I’
i4 CocvmraLe
1o
c
Part C: Answer the following questions in the space provided using similar triangles.
Be sure to mark equal angles.
You must have full solutions, like the ones done in class.
1
.
Determine the values of the variables x and y to 1 decimal place.
f3I:
(( SM4LL
.O
t.
20.5
(
‘
—
If
X
:
a
(s.c
12
z., ‘c
x
11
8
I?s
‘
(2e.c)
2. Determine the value of x to 1 decimal place.
8,;sg%AL’.
ic:+c, •)(
t) fr5
7
(,;X’c4
7c)L
g
0
q
(
&OO
75
Llc,
X7o
3
.
To find the distance x across a pond, surveyors measured the distances shown. Use these distances to
calculate the distance across the pond.
4
6.8m
22’>
‘3’G
:
i2.S
)
3ct.3
(I.(’)
—-—
4<
cnr
rrck
,r
4. Determine the distance, x, across the river to one decimal place.
cH’
‘7c
30m
,
75
30
(30)
:U
StA/LL$
Ct0
Ic Ow%
I’t.’