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Geometry Honors Final Exam Review

Total questions: 62

Worksheet time: 4hrs 35mins

Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
HL
d)
Not Possible
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
3.
Find side length X.
a)
30
b)
25
c)
15
d)
40
4.

If two of the sides of a triangle are 15 and 32, describe the possible lengths of the third side.

a)

The third side must be between 15 and 32.

b)

17 < 3rd side < 47

c)

23 < 3rd side < 51

d)

2 < 3rd side < 165

5.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
6.
Find side length X.
a)
30
b)
25
c)
15
d)
40
7.

Find the missing angle measures in this rhombus.

4 lines
8.

Quadrilateral JKLM is a rhombus. If JK = 12 and JN = 7, what are the measures of JM, JL, MN, and MK? (Please list in the order given)

4 lines
9.
In rectangle GHJK solve for x.
a)
25
b)
65
c)
17
d)
5
10.

MNKL is a square. Find the measure of angle MKN.

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

11.

Which special quadrilaterals have perpendicular diagonals?

a)

parallelogram and rectangle

b)

square and rhombus

c)

rectangle and square

d)

rhombus and parallelogram

12.
Which of the following is NOT true for a rectangle?
a)
all four angles are right angles
b)
diagonals are perpendicular
c)
diagonals are congruent
d)
diagonals bisect each other
13.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
14.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
15.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
16.
If GI = 2s - 84 and GK = s-18. Find the value of S
a)
12
b)
55
c)
66
d)
60
17.
Find the measure of DG.
a)
14
b)
28
c)
12
d)
16
18.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
19.
Find the area of the shaded region: 
a)
350 cm2
b)
137.5 cm2
c)
212.5 cm2
d)
484.2 cm2
20.

Find Area of shaded region

21.

Find Area of shaded region

22.

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

a)

A and B are supplementary

b)

A and C are supplementary

c)

m∠ A = m∠ B

d)

m∠ C = m∠ D

23.

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

a)

45°

b)

50°

c)

55°

d)

60°

24.

If minor arc AC = 96° , what is the measure of ∠ ABC?

a)

53°

b)

64°

c)

72°

d)

84°

25.
Question Image

Match the following part of the circle with its correct label.

a)

Center

1.

Point S

b)

Chord

2.

Segment XW XW\overline{XW}

c)

Radius

3.

ST\overline{ST}

Segment ST

d)

Diameter

4.

QV\overline{QV}

Segment QV

e)

Tangent Line

5.

VU\overline{VU}

Line VU

26.
a)

mK=100 & mM=100

b)

mK=50 & mM=50

c)

mK=100 & mM=50

d)

mK=50 & mM=100

27.
a)

46

b)

5

c)

90

d)

1.8

28.
Solve for a.
a)
4
b)
6.93
c)
8
d)
16
29.
Calculate the value of x.
a)
13
b)
14
c)
15
d)
16
30.
Solve for x.
a)
6
b)
8
c)
10
d)
12
31.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
32.
If the area of a shape is 50 square feet and the width is 10 feet, what is the length?
a)
40 feet
b)
10 feet
c)
5 feet
d)
15 feet
33.

The area of the parallelogram is ___ cm2.

34.

What is the area of this rhombus?
d1 = 12     d2= 4            d1d22\frac{d1\cdot d2}{2}  

a)

48 cm2

b)

24 cm2

c)

32cm2

35.

Find the area of this regular polygon

a)

81.8 m2

b)

204.4 m2

c)

408.8 m2

d)

40.8 m2

36.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
37.
Find the Surface Area
a)
15m2
b)
16m2
c)
18m2
d)
20m2
38.

Find the surface area

a)

252.58 yd2

b)

163.2 yd2

c)

365.68 yd2

d)

157.2 yd2

39.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
40.
Find the volume of this triangular prism.
a)
1440 cm3
b)
60 cm3
c)
720 cm3
d)
180 cm3
41.
Find the value of X
a)
94
b)
25
c)
36
d)
180
42.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
43.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
44.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
45.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
46.

Find x.

a)

10

b)

10310\sqrt{3}

c)

10210\sqrt{2}

d)

20

47.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
48.
 FInd tanX
a)
32/40
b)
40/24
c)
32/24
d)
24/32
49.
 Find cosA
a)
30/16
b)
30/34
c)
30/15
d)
16/34
50.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

51.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
52.
Use the Law of Sines to solve for BC
a)
33
b)
24
c)
12
d)
29
53.
Find AC
a)
12
b)
10
c)
23
d)
14
54.

Find the value of x.

a)

49

b)

85

c)

121

d)

140.3

e)

44.6

55.

Find the value of x.

a)

21

b)

3

c)

81

d)

9

e)

18

56.

Find the value of w and x.

a)

w = 16, y = 2

b)

w = 2, y = 17

c)

w = 3, y = 15

d)

w = 2, y = 18

e)

w = 2, y = 16

57.

Write the equation of the line in standard form through the points (-6, -19) and (2, 5).

a)

-3x - y = -1

b)

-3x + y = 1

c)

3x - y = 1

d)

y = 3x - 1

58.

What is the midpoint between (3,-1) and (7,-5)?

a)

(5,-2)

b)

(5,-3)

c)

(10,-6)

d)

(2,-2)

59.

Which of the following shows the correct way to insert the following coordinates into the DIstance Formula?


(3, 4) , (7, 1)

a)

d = (4  3)2 + (7  1)2d\ =\ \sqrt{\left(4\ -\ 3\right)^2\ +\ \left(7\ -\ 1\right)2}

b)

d = (7  3)2 + (1  4)2d\ =\ \sqrt{\left(7\ -\ 3\right)^2\ +\ \left(1\ -\ 4\right)^2}

c)

d = (7  4)2 + (1  3)2d\ =\ \sqrt{\left(7\ -\ 4\right)^2\ +\ \left(1\ -\ 3\right)^2}

d)

d = (3  7)2 + (4  1)2d\ =\ \sqrt{\left(3\ -\ 7\right)^2\ +\ \left(4\ -\ 1\right)^2}

e)

d = (3 + 7)2  (4 + 1)2d\ =\ \sqrt{\left(3\ +\ 7\right)^2\ -\ \left(4\ +\ 1\right)^2}

60.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
61.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
62.
Solve
a)
50°
b)
58°
c)
115°
d)
226°