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Worksheets

Triangle Mcap Review

Total questions: 70

Worksheet time: 4hrs 39mins

Name
Class
Date
1.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
2.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
3.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
4.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
5.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
6.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
7.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
8.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
9.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
10.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
11.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
12.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
13.

Find the measure of angle A using an inverse trig ratio.

a)

61.9 degrees

b)

28.1 degrees

c)

25.2 degrees

d)

.99997 degrees

14.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
15.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
16.
Find x.
a)
30°
b)
60°
c)
90°
d)
180°
17.
Find x.
a)
30°
b)
45°
c)
60°
d)
90°
18.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
19.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
20.
What would you use to solve for x?
a)
Pythagorean Theorem
b)
Trig
c)
Inverse Trig
21.
What would you use to solve for x?
a)
Pythagorean Theorem
b)
Trig
c)
Inverse Trig
22.
What would you use to solve for x?
a)
Pythagorean Theorem
b)
Trig
c)
Inverse Trig
23.
What would you use to solve for x?
a)
Pythagorean Theorem
b)
Trig
c)
Inverse Trig
24.
What would you use to solve for x?
a)
Pythagorean Theorem
b)
Trig
c)
Inverse Trig
25.
What would you use to solve for x?
a)
Pythagorean Theorem
b)
Trig
c)
Inverse Trig
26.
What would you use to solve for x?
a)
Pythagorean Theorem
b)
Trig
c)
Inverse Trig
27.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
28.
Does GH = 1/2DF?.
a)
no
b)
yes
29.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
30.
What is the measure of angle X?
a)
60
b)
40
c)
140
d)
100
31.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
32.
What type of triangle is this? 
a)
Acute
b)
Isosceles
c)
Right
d)
scalene
33.
What type of triangle? 
a)
Acute
b)
Obtuse
c)
Right
d)
Isosceles
34.
What type of triangle is this? 
a)
Scalene
b)
Obtuse
c)
right
d)
isosceles
35.
Find the missing angles.
a)
110
b)
40
c)
70
d)
30
36.
What is the missing angle measure? 
a)
60
b)
40
c)
80
d)
20
37.
Find the missing angle
a)
55
b)
75
c)
50
d)
25
38.
Find the exterior angle
a)
100
b)
55
c)
45
d)
80
39.
Solve for x.
a)
16
b)
11
c)
50
d)
6
40.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
equiangular scalene
c)
equiangular isosceles
d)
equiangular equilateral
41.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
42.
What is the value of x?
a)
60
b)
5
c)
10
d)
-3
43.
What is the value of x?
a)
64
b)
46
c)
127
d)
38
44.
What is the measure of angle 2?
a)
50
b)
65
c)
115
45.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
46.

Classify the triangle shown in the picture by its angles.

a)

Obtuse

b)

Right

c)

Acute

d)

Equilateral

47.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
48.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
49.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
50.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
51.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
52.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
53.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
54.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
55.
Are the triangles similar?
a)
Yes
b)
No
56.
Are the triangles similar?
a)
Yes
b)
No
57.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
58.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

59.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

60.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

61.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

62.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

63.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

64.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

65.

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

66.

What is #2 Reason?

a)

Perpendicular Lines

b)

Perpendicular Bisector

c)

Reflexive Property

d)

Segment Bisector

67.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

68.

What is #5 Statement?

a)

∠QPR ≌ ∠STR

b)

∠PQR ≌ ∠STR

c)

∠QRP ≌ ∠TSR

d)

∠QRP ≌ ∠TRS

69.

What is #4 Reason

a)

Definition of Midpoint

b)

Perpendicular Bisector

c)

Segment Bisector

d)

Reflexive Property

70.

What are #3 & #4 Statements?

a)

#3 - Reflexive Property

#4 - Alternate Interior Angles

b)

#3 - Reflexive Property

#4 - Vertical Angles

c)

#3 - Segment Bisector

#4 - Vertical Angles

d)

#3 - Segment Bisector

#4 - Reflexive Property