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Geometry Exam Review

Total questions: 45

Worksheet time: 57mins

Name
Class
Date
1.

The distance between the points (0, -2) and (x, 1) is 5 units. Which number represents a possible value for x?

a)

16

b)

4

c)

24\sqrt{24}

d)

-3

2.

 BD→\overrightarrow{BD}  bisects  ∠ABC\angle ABC  ,  m∠ABD=5(x−6)m\angle ABD=5\left(x-6\right)   and  m∠DBC=2x+9m\angle DBC=2x+9 . Find  m∠DBCm\angle DBC . 

a)

 35°35\degree  

b)

 27°27\degree  

c)

 11°11\degree  

d)

 15°15\degree  

3.
Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
a)
You have more energy
b)
If you exercise regularly, then you have more energy
c)
You have a healthy body
d)
If you do not have a healthy body, then you do not exercise regularly
4.
What is the contrapositive to this?
a)
If the food is not cooked, then it is not in the oven.
b)
If the food is not in the oven, then it is not cooked.
c)
If the food is cooked, then its in the oven.
d)
If food is not in the oven, then its cooked.
5.
What is the converse to this statement?
a)
If it isn't dark outside, then it is not night.
b)
If it is night, then it is dark outside
c)
If it is not night, then it is not dark outside.
d)
It is night.
6.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
7.
Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4
a)
0
b)
12
c)
28
d)
42
8.
Write the if-then statement that follows from the pair of true statements. If Todd goes to the movies, then Sarah will go to the movies.  If Chris goes to the movies, then Todd will go to the movies.
a)
If Chris goes to the movies, then Sarah will go to the movies.
b)
If Todd goes to the movies, then Chris will go to the movies.
c)
If Sarah goes to the movies, then Chris will go to the movies.
d)
If Chris goes to the movies, then Todd will go to the movies.
9.
How many students do not ski or ice skate?
a)
10
b)
16
c)
22
d)
28
10.

Which of the following equations represents the line passing through point A and PERPENDICULAR to the given line?

a)

-2x + 3y = 10

b)

2x + y = 6

c)

3x + 2y = -4

d)

3x + 2y = -2

11.

Are the Lines Parallel? How do you know?

Line 1 runs through the points (-6, 6) and (0, 5)

Line 2 runs through the points (0, -3) and (6, -4)

a)

Yes, their slopes are opposite reciprocals

b)

Yes, their slopes are the same

c)

No, their slopes are opposite reciprocals

d)

No, their slope are the same

12.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
13.
Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?
a)
∠2 ≅ ∠3
b)
∠2 ≅ ∠6 
c)
m∠7 + m∠8 = 180°
d)
m∠3 + m∠5 = 90°
14.
Which of the following relationship proves that j is parallel to k?
a)
∠3 and ∠4 are supplementary
b)
∠4 and ∠5 are supplementary
c)
∠1 ≅ ∠3
d)
∠2 ≅ ∠3
15.

Polygon ABGH ≅ polygon CDEF. What is the m<G?

a)

90o

b)

75o

c)

105o

d)

62o

16.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
17.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
AAA
b)
AAS
c)
ASA
d)
Not necessarily congruent
18.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
19.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
20.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

d)

∠G

21.
Can the sides of a triangle have lengths 4, 11, and 13?
a)
Yes
b)
No
22.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

18

b)

12

c)

8

d)

5

23.

The ratio of the measure of the acute angles of a right triangle is 2:3. What is the measure of the smallest angle of the triangle?

a)

55

b)

36

c)

14

d)

86

24.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
25.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

26.
A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun. 
a)
34 degrees
b)
56 degrees
c)
72 degrees
d)
15 degrees
27.

Which is a Pythagorean Triple?

a)

1,1,1

b)

7,14,16

c)

12,13,16

d)

5,12,13

28.
Find the value of x.
a)
7
b)
8
c)
9
d)
10
29.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
30.

A pilot flying at an altitude of 1450 feet sights the Washington Monument at an angle of depression of 22 degrees. To the nearest foot, what is the horizontal distance from the point under the helicopter to the landmark?

a)

3871

b)

586

c)

3589

d)

534

31.

A parallelogram must be a rhombus if its diagonals

a)

are congruent

b)

bisect each other

c)

do not bisect its angles

d)

are perpendicular to each other

32.

Solve for x. Use the sum of exterior angles to determine what to set the equation equal to.

a)

72

b)

360

c)

68

d)

180

33.
Find the measure of the x (midsegment):
a)
25
b)
9
c)
12
d)
15
34.
The rule for rotation of 270 degrees is  
(x, y) --> _
a)
(y, x)
b)
(-y, x)
c)
(y, -x)
d)
(x, -y)
35.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

36.
What is the rule for the following reflection? 
a)
Reflection across       y = −1
b)
Reflection across        y = 1
c)
Reflection across            x = −1
d)
Reflection across          x = 1
37.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)2 + y2 = 9

b)

(x - 7)2 + y2 = 3

c)

(x + 7)2 + y2 = 9

d)

x2 + (y -7)2 = 3

38.

Find the m < x.

a)

112 degrees

b)

98 degrees

c)

132 degrees

39.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

40.
Find the value of x
a)
10
b)
15
c)
12
d)
19
41.

What is the volume of both shapes?

a)

150 cm3

b)

65 cm3

c)

300 cm3

d)

225 cm3

42.

Calculate the surface area.

a)

12.0 m2

b)

8.0 m2

c)

5.3 m2

d)

20.0 m2

43.
The edges of a cube are all reduced by a factor of ½.  So the surface area will be reduced by a factor of _____.
a)
⅛
b)
¼
c)
½
d)
⅙
44.
The surface area of a pyramid is 12 cm2.  A new pyramid is similar to the original pyramid and the ratio of the sides of the new to the original is 3:2.  What is the surface area of the new pyramid?
a)
12 cm2
b)
8 cm2
c)
18 cm2
d)
27 cm2
45.
Serena drew a circle with a circumference of 157 centimeters.  What is the approximate diameter of the circle she drew?
a)
1.57 cm
b)
15.7 cm
c)
50 cm
d)
25 cm

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