Download NAME: Part A: Answer the following questions by filling in the blanks

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MFM
2P1
Geometry and, Similar Triangles Test
NAME:
Part A: Answer the following questions by filling in the blanks with the correct response.
(4)
1 Classify the following triangles by
.
i) sides
ii) angles
b)
a)
(9)
i) sides:
i) sides:
ii) angles:
ii) angles:
2. Determine the values ofthe variables.
c)
b)
a)
a=
e=
b=
0
e)
d)
f
h=______
(5)
3 Match the phrase in , with the correct definition in j by putting the correct letter in the blank.
.
(a) Supplementary Angles
Add to 90°
(b) Straight Angle
Addto 180°
(c) Acute Angle
An angle less than 90°
(d) Obtuse Angle
A 180° angle
(e) Complementary Angles
Greater than 90° but less than 180°
(1)
4. Why are the following triangles similar?
(1)
5. Why are the following triangles similar?
24
36
8
12
7
21
Part B: Answer the following questions in the space provided.
Show full solutions like the ones done in class and on the practice test.
Use proportions and/or the Pythagorean Theorem.
(4)
1 Solve for x, rounded to 1 decimal place, if necessary.
.
a) x:9=58:6
b)
31:13=5:x
( 4)
2. A lawn mower runs on a gas to oil mixture of 7 : 3
Find the amount of oil to mix with 5 L of gas. Answer to 1 decimal place.
(4)
3 In a survey 3 out of 7 people drove two-door cars.
In a parking lot with 1200 cars about how many would be two-door? Answer to the nearest car.
.
(6)
4. Find the value ofx to 1 decimal place, if necessary.
7
(a)
(b)
16
x
x
12
11
(4)
5
.
The cities of Edmonton, Calgary and Lloydminster form a right angle triangle on a map.
The distance from Calgary to Lloydminster is the longest. The distance from Edmonton to Calgary is
300 km, the distance from Calgary to Lloydminster is 540 km.
What is the distance from Edmonton to Lloydminster to 1 decimal place?
Include a fully labelled diagram in your solution.
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 6)
1 Determine the length of sides x and y to 1 decimal place.
.
x
24
b)
y
10
x
c)
8
49
90
(5)
2. A pole 3.8 m high casts a shadow that measures 1.4 m. A nearby tree casts a shadow 7.8 m long.
Calculate the height of the tree to 1 decimal place. Include a fully labelled diagram in your solution.
______
Geometry and Similar Triangles Test
MFM 2P1
NAME:
Part A: Answer the following questions by filling in the blanks with the correct response.
(4)
1 Classify the following triangles by
.
i) sides
ii) angles
b)
a)
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i) sides:
i) sides:
ii) angles:
ii) angles:
(9)
2. Determine the values ofthe variables.
c)
b)
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b
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e= 77
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0
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(5)
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5. Why are the following triangles similar?
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Show full solutions like the ones done in class and on the practice test.
(4)
1 Solve for x, rounded to 1 decimal place, if necessary.
.
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3. In a survey 3 out ofpeople drove two-door cars.
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The cities of Edmonton, Calgary and Lloydminster form a right angle triangle on a map. The distance
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distance from Calgary to Lloydminster is 540 km. What is the distance from Edmonton to Lloydminster
to 1 decimal place? Include a diagram in your solution.
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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 length of sides x and y to 1 decimal place.
.
72
a)
y
60
316
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2. A pole 3.8 m high casts a shadhat measures 1. m. A nearby tree casts a shadow 7.8 m long.
Calculate the height ofthe tree. Include a fully labelled diagram in your solution.
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