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Part 2 Final Review

Total questions: 45

Worksheet time: 2hrs 55mins

Name
Class
Date
1.
How long is side x?
a)
3
b)
1.5
c)
8
d)
2/3
2.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
3.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
4.
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
5.
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
6.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
7.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
8.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
9.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
10.

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

11.

Which postulate can be used to prove the triangles congruent?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

12.

Which additional piece of information would be needed to prove the triangles congruent using ASA?

a)

m<A = m<F

b)

AB = FE

c)

m<C = m<D

d)

AC = FD

13.

Which postulate can be used to prove triangle GEF is congruent to triangle GJH?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

14.

For the given picture, EF = BC and AB = DE. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

HL

15.

For the given triangles, AD = CB and EC = EA. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

16.

For the given picture, what additional piece of information would be needed to prove triangle BAC is congruent to triangle DAC by SAS?

a)

m<BAC = m<DAC

b)

m<BDA = m<DCA

c)

m<ABC = m<ADC

d)

AC = AC

17.

For the given picture, point C is the midpoint of AD and BE. Which postulate can be used to prove triangle BAC congruent to triangle DEC?

a)

SSS

b)

ASA

c)

SAS

d)

HL

18.

For the given triangles, if LO=12 and OM=16, find the length of PQ.

a)

12

b)

16

c)

4

d)

28

19.

Which congruent postulate proves the triangles congruent?

a)

ASA

b)

SSA

c)

SAS

d)

AAS

20.

Find the value of y for the given picture.

a)

4

b)

5.75

c)

3.86

d)

2.86

21.

What does (h,k) stand for in the standard circle equation?

a)

(h,k) is the center of the circle

b)

(h,k) is a point on the circle.

c)

(h,k) is a point that we guess and find

d)

(h,k) is the distance of the circle

22.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
23.
What is the equation of a circle with radius 2 and center (3, 4)?
a)
(x+3)2 + (y+4)2 = 2
b)
(x-3)2 + (y-4)2 = 2
c)
(x+3)2 + (y+4)2 = 4
d)
(x-3)2 + (y-4)2 = 4
24.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
25.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
26.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
27.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x + 5)2 + (y - 2)2 = 144

b)

(x - 5)2 + (y + 2)2 = 36

c)

(x + 5)2 + (y - 2)2 = 36

d)

(x - 5)2 + (y + 2)2 = 12

28.

What is the equation of the circle.

a)

(x - 3)2 + (y + 4)2 = 9

b)

(x - 3)2 + (y + 4)2 = 3

c)

x2 + y2 = 9

d)

(x - 1)2 + (y + 1)2 = 7

29.

What is the center of the circle with equation x2 + y2 = 1?

a)

(1, 1)

b)

(0, 0)

c)

(0,1)

d)

not enough information

30.
a)
(x + 3)2 + (y - 1)2 = 9
b)
(x - 3)2 + (y + 1)2 = 9
c)
(x - 3)2 + (y + 1)2 = 3
d)
(x + 3)2 + (y - 1)2 = 3
31.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
32.
If the circumference of a circle is 22π , what is the diameter?
a)
22 ft
b)
11 ft
c)
π ft
d)
0 ft
33.
If the circumference of a circle is 44 π feet, what is the radius?
a)
22 ft
b)
44 ft
c)
33 feet
d)
3.14 feet
34.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
35.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
36.
A _____ is half of a circle.
a)
circumference
b)
pi
c)
semicircle
d)
 composite figure
37.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
38.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
39.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
40.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
b)
Alternate Exterior
110
c)
Corresponding
70
d)
Alternate Exterior
70
41.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
42.
If lines are parallel, then alternate interior angles are _____________
a)
congruent
b)
parallel
c)
complementary
d)
supplementary
43.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
44.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
45.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
49
b)
Same Side Interior
131
c)
Same Side Interior
49
d)
Alternate Interior
131

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