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Worksheets

Reg Geo Final Sem 2

Total questions: 82

Worksheet time: 4hrs 27mins

Name
Class
Date
1.
If two polygons are similar, then the corresponding side lengths are ___________.
a)
congruent
b)
similar
c)
equal
d)
proportional
2.
If two polygons are similar, then the corresponding angles are ___________.
a)
congruent
b)
similar
c)
equal
d)
proportional
3.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
4.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
5.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
6.
Are the triangles similar?
a)
Yes
b)
No
7.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
8.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
9.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
10.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
11.

18x=610\frac{18}{x}=\frac{6}{10}  

a)

36

b)

9

c)

12

d)

30

12.

b5=816\frac{b}{5}=\frac{8}{16}  

a)

10

b)

4

c)

2.5

d)

1.8

13.
Find length of segment AB.
a)
x = 810
b)
x = 21.6
c)
x = 33.75
d)
x = 67.5
14.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
15.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
16.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
17.
What is the value of x?
a)
3
b)
4
c)
5
d)
6
18.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
19.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
20.
10, 12, 25
a)
acute
b)
right
c)
obtuse
d)
not a triangle
21.

Given the lengths 8", 15", 17", classify the triangle formed and or state that no triangle CAN be formed.

a)

No triangle

b)

Acute triangle

c)

Right triangle

d)

Obtuse triangle

22.
√128
a)
64√2
b)
16
c)
2√8
d)
8√2
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
26.
a)
A
b)
B
c)
C
d)
D
27.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
28.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
29.

Select the correct ratio for SinA

a)

3735\frac{37}{35}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

1237\frac{12}{37}

30.

What side is adjacent to  \angle J?  

a)

9

b)

40

c)

41

d)

none

31.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
32.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
33.
In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
34.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
35.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
36.
Which trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
37.
Which trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
38.
What is the ratio for Tangent
a)
Opp/Hyp
b)
Adj/Opp
c)
Opp/Adj
d)
Hyp/Opp
39.
What is the value of x?
a)
17.30
b)
11.33
c)
0.06
d)
23.82
40.
What is the value of x?
a)
9.17
b)
98.13
c)
0.11
d)
26.69
41.

Find the measure of the indicated angle.  

a)

66^{\circ}

b)

2020^{\circ}

c)

4343^{\circ}

d)

4747^{\circ}

42.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 
a)
7.5 ft 
b)
15 ft 
c)
26 ft 
d)
30 ft 
43.
A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
44.

To the nearest whole degree.

a)

66°

b)

24°

c)

22°

d)

37°

45.
Convex or Concave?
a)
convex
b)
concave
46.
Which of these figures are considered polygons?
a)
a, b, c, d
b)
b, d, e, f
c)
a, b, c
d)
a, e, f
47.
Polygon or Non-Polygon?
a)
Polygon
b)
Non-Polygon
48.
Is this shape a POLYGON?
a)
Yes
b)
No
49.

What shape am I ?

a)

Regular octagon

b)

Irregular octagon

50.

What shape am I ?

a)

Regular quadrilateral

b)

Irregular quadrilateral

51.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
52.

Check off ALL of the properties of a polygon

a)

No Open Sides

b)

No Curved Sides

c)

3-dimensional

d)

Curved sides

e)

Not Intersecting

53.

Which of the following is an irregular polygon?

a)
b)
c)
d)
54.
What is the name of a 12-sided polygon
a)
Decagon
b)
Dodecagon
c)
Dozengon
d)
Noonagon
55.
What is the name of a 12-sided polygon
a)
Decagon
b)
Dodecagon
c)
Dozengon
d)
Noonagon
56.
Name the polygon with seven sides.
a)
dodecagon
b)
octogon
c)
heptagon
d)
hexagon
57.
Find the measure of ONE exterior angle of a regular decagon.
a)
36
b)
10
c)
18
d)
40
58.
A polygon with six sides is called a(n) ______________.
a)
hexagon
b)
pentagon
c)
decagon
d)
septagon
59.
A polygon with 8 sides is called a(n) __________________.
a)
octagon
b)
decagon
c)
heptagon
d)
dodecagon
60.
The sum of the interior angles of a polygon is __________________ where n is the number of sides.
a)
(n - 2)180
b)
(n - 1)180
c)
360
d)
(n - 3)(180)
61.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
62.

Find the measure of one exterior angle in a regular nonagon. Round your answer to the nearest tenth if necessary.

a)

27.7⁰

b)

60⁰

c)

72⁰

d)

40⁰

63.

What is the sum of the measures of the exterior angles of a decagon?

a)

1440⁰

b)

360⁰

c)

144⁰

d)

1800⁰

64.

Find the value of x.

a)

540⁰

b)

121⁰

c)

134⁰

d)

360⁰

65.
In a parallelogram, opposite angles are ________.
a)
congruent
b)
supplementary
c)
consecutive
d)
parallel
66.
a)
x = 23, y = 10
b)
x = 10, y = 23
67.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
68.
a)
x = 40 , y = 40 
b)
x = 30, y = 30
c)
x = 40, y = 30
d)
x = 30, y = 40
69.
a)
x = 70, y = 80
b)
x = 70, y = 30
c)
x = 80, y = 70
d)
x = 80, y = 30
70.
The figure is a parallelogram.  
Solve for x.  
a)
12
b)
4
c)
6
d)
2
71.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Both pairs of Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

72.

CHECK ALL THAT APPLY:

All angles are right angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

73.

CHECK ALL THAT APPLY:

The lengths of the diagonals are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

74.

CHECK ALL THAT APPLY:

All sides are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

75.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
76.

What is the area?

a)

35 cm

b)

30 cm

c)

35 sq cm

d)

12 cm

77.
What is the perimeter of this figure?
(click to show image)
a)
12 m
b)
20 m
c)
12 cm
d)
20 cm
78.
Find the area
a)
126m
b)
120m2
c)
126m2
d)
200m2
79.

What is the perimeter?

a)

24 sq cm

b)

24 cm

c)

35 sq cm

d)

35 cm

80.
Find the Area of this triangle
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
81.

50\sqrt{50}  

a)

525\sqrt{2}  

b)

5\sqrt{5}   

c)

252\sqrt{5}  

d)

25225\sqrt{2}  

82.

243\sqrt{243}  

a)

333\sqrt{3}  

b)

939\sqrt{3}  

c)

81381\sqrt{3}  

d)

3813\sqrt{81}