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All about triangles

Total questions: 72

Worksheet time: 5hrs 6mins

Name
Class
Date
1.

What type of triangle is this...

a)

Equilateral

b)

Scalene

c)

Isosceles

d)

Right-Angled Triangle

2.

What type of triangle is this...

a)

Equilateral

b)

Scalene

c)

Isosceles

d)

Right-Angled Triangle

3.

What type of triangle is this...

a)

Equilateral

b)

Scalene

c)

Isosceles

d)

Right-Angled Triangle

4.

Work out the size of the missing angle

a)

55

b)

90

c)

125

d)

305

5.
Which of the following angles can you add together to equal angle d? 
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
6.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
7.

Solve for x.

a)

A

b)

B

c)

C

d)

D

8.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
9.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
10.
Can a triangle be formed with side lengths:
10, 12, 22
a)
yes
b)
no
c)
not enough information
11.
Can a triangle be formed with side lengths:
4, 7, 10
a)
yes
b)
no
c)
not enough information
12.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
13.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
14.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
15.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
16.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
17.
Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?
a)
No
b)
Sometimes
c)
Yes
d)
N/A
18.
Which of these is a valid congruency statement for these 2 triangles?
a)
∆PTW ≅ ∆HGD
b)
∆PWT ≅ ∆GDH
c)
 ∠G ≅ ∠P
d)
∠D ≅ ∠H
19.
Which of these is a valid congruency statement for these 2 triangles?
a)
 ∠A ≅ ∠N
b)
∠B ≅ ∠M
c)
 ∠E ≅ ∠P
d)
∠T ≅ ∠G
20.
Which of these is a valid congruency statement for these 2 triangles?
a)
 BE ≅ PN
b)
AB ≅ MP
c)
AE ≅ MN
d)
BA ≅ PM
21.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

22.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

23.

What is #3 Reason and #4 Statement?

a)

#3 - Reflexive Property

#4 - ∠ACB ≌ ∠ECD

b)

#3 - Definition of Midpoint

#4 - ∠ACB ≌ ∠ECD

c)

#3 - Segment Bisector

#4 - ∠BCA ≌ ∠DCE

d)

#3 - Reflexive Property

#4 - ∠BCA ≌ ∠DCE

24.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

25.

What is #4 Reason?

a)

Alternate Interior Angles

b)

Vertical Angles

c)

Reflexive Property

d)

Angle Bisector

26.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
27.
When do you use "CPCTC in a proof?
a)
ALWAYS at the beginning
b)
ALWAYS at the end
c)
It's optional
d)
NEver
28.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
29.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
30.
The triangles are similar by...
a)
SAS
b)
AAS
c)
ASA
d)
SSS
31.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
32.
Complete each proportion.
AB / AM  =  ? / DM
a)
BC
b)
AC
c)
MD
d)
MC
33.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 63

d)

x = 7

34.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

35.
What is corresponding congruent angles and proportional sides?
a)
Similar Figures
b)
Scale Factor
c)
Congruent Shapes
36.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
37.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
38.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

39.

Find the length of AB.

a)

36

b)

18

c)

6

d)

12

40.

In right triangle ABC below, CD is the altitude to hypotenuse AB. If CD=6 and the ratio of AD to AB is 1:5, determine and state the length of BD.

a)

2.68

b)

7.2

c)

14.4

d)

3.1

41.

How far is it across the lake?

a)

4

b)

6

c)

9

d)

12

42.

In the accompanying diagram, triangle ABC is a right triangle and CD is the altitude to hypotenuse AB. If AD=4 and DB=16 find the length of CD.

a)

0

b)

64

c)

8

d)

32

43.

In the accompanying diagram of right triangle ABC, CD is drawn perpendicular to hypotenuse AB. If AB=16 and DB=4 find the length of BC.

a)

0

b)

8

c)

32

d)

64

44.
Is DE parallel to BC?
a)
Yes
b)
No
45.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
46.
name a segment that has half the length of segment AC
a)
segment AD
b)
segment BE
c)
segment DE
d)
segment BC
47.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
48.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
49.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
50.
Find the missing length.
a)
4
b)
10
c)
8
d)
12
51.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
52.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
53.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

54.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

55.

Find the missing side. (Calculators are allowed)

a)

48

b)

108

c)

83.6

d)

72

56.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
57.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
58.
a)
A
b)
B
c)
C
d)
D
59.
a)
A
b)
B
c)
C
d)
D
60.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
61.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
62.

What is adjacent to A?

a)

a

b)

b

c)

c

63.

What is opposite to A?

a)

a

b)

b

c)

c

64.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
65.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
66.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
33°
b)
49°
c)
39°
d)
41°
67.
Find the measure of the angle.  Round to the nearest tenth. 
a)
30.8
b)
32.1
c)
34.3
d)
36.9
68.
Find the cofunction of 
sin(42o)=
a)
cos(42o)
b)
cos(48o)
c)
csc(48o)
d)
csc(42o)
69.
Find the cofunction of cos(15o)
a)
sin(75o)
b)
sec(75o)
c)
csc(75o)
d)
cot(75o)
70.

In right triangle ABC, m∠C =90°. If cos B= 5 ⁄ 13, which function also equals 5 ⁄ 13?

a)

tanA

b)

tanB

c)

sinA

d)

sinB

71.

Which value of x satisfies the equation sin(3x+5)°=cos(4x+1)°?

a)

30

b)

24

c)

12

d)

4

72.

If sin(2x+7)°=cos(4x−7)°, what is the value of x?

a)

7

b)

15

c)

21

d)

30

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