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Semester Assessment Review

Total questions: 60

Worksheet time: 2hrs 12mins

Name
Class
Date
1.
Find the length of line segment AB given A(4, 3) and B(0, 6).
a)
3
b)
4
c)
5
d)
7
2.
What is the center of MN given M(3, -1) and N(7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
3.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
4.
What is the distance of JK, where J(4,3) and K(2, -3)?
a)
√ ̅3̅2̅
b)
40
c)
32
d)
√ ̅4̅0̅
5.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
6.
Find the value of x. 
a)
17
b)
28
c)
68
d)
39.5
7.
Find the value of x. 
a)
13
b)
8.6
c)
5
d)
130
8.
a)
18
b)
19
c)
66
d)
77
9.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=3.4
b)
Complementary; x=45
c)
Supplementary; x=20
d)
Supplementary; x=175
10.
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. 
11.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
12.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
If angles are not congruent, then the measures of the angles are not equal.
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
13.
Conditional: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
14.

Write the conditional statements as a biconditional statement:


1) If B is between A and C, then AB+BC=AC.

2) If AB+BC=AC, then B is between A and C.

a)

Segment Addition Postulate

b)

B is between A and C when AB+BC=AC if and only if Segment Addition Postulate.

c)

B is between A and C if and only if AB+BC=AC.

15.

Select the counterexample to the conditional statement:

If  n2 = 5nn^{2\ }=\ 5n  , then  n=5n=5 .

a)

 n=5n=-5  

b)

 n=0n=0  

c)

 n=5n=5  

16.
Which of the following is a biconditional statement?
a)
If you do not vote, then you are not at least 18 years old.
b)
You can vote if and only if you are 18 years old.
c)
If you are 18 years old, then you can vote.
17.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
18.
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
a)
2/3
b)
4/5
c)
1/2
d)
3/2
19.
If it is an angle, then it is acute. What is an appropriate counterexample?
a)
70⁰
b)
45⁰
c)
120⁰
d)
True. There is no counterexample.
20.
Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
a)
Invalid
b)
Valid
c)
Sammy is a Great Dane
d)
Sammy is really a cat.
21.
Find the measure of angle E.
a)
9
b)
97°
c)
48°
d)
79°
22.
Find the measure of the indicated angle. 
a)
89
b)
211
c)
119
d)
81
23.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
24.
Find the measure of ONE interior angle of a regular dodecagon.
a)
150
b)
120
c)
1800
d)
20
25.
A polygon's interior angles add up to 2700.  How many sides does the polygon have?
a)
17
b)
15
c)
19
d)
11
26.
Find the value of the variable(s).
a)
x = 88
b)
x = 176
c)
x = 90
d)
x = 174
27.
What is the value of x?
a)
26.25
b)
38.75
c)
24
d)
25.125
28.
What is the measure of one EXTERIOR angle of a regular octagon?
a)
60
b)
45
c)
1080
d)
135
29.
Calculate the sum of the interior angle measures of a polygon with 16 sides.
a)
2880 degrees
b)
2520 degrees
c)
344 degrees
d)
360 degrees
30.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
31.
What is the measure of ∠ABC?
a)
25°
b)
75°
c)
108°
d)
150°
32.
What is the value of x?
a)
13
b)
6.2
c)
29.8
33.
Solve for x.
a)
41
b)
-41
c)
-9
d)
-21
34.

Find the value of x if the  m1 = 11x  9°m\angle1\ =\ 11x\ -\ 9\degree and the  m5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

35.

Find the value of x if the  m3 = 4x+5°m\angle3\ =\ -4x+5\degree and the  m5 = 13x+39°m\angle5\ =\ -13x+39\degree .

a)

-3.8

b)

3.8

c)

-8

d)

8

36.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
37.
Can a triangle be formed with side lengths:
4, 7, 10
a)
yes
b)
no
c)
not enough information
38.
Can a triangle be formed with side lengths:
10, 12, 22
a)
yes
b)
no
c)
not enough information
39.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
40.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
41.
What is the correct order of the lengths of the streets from longest to shortest?
a)
A
b)
B
c)
C
d)
D
42.
Given: AM is the median,
AB=4x-6, BM=2x-2 , MC=3x-14 , CA=5x-20 . Find the value of x.
a)
x = 12
b)
x = 2
c)
x = 14
d)
x = -8
43.
Describe the possible lengths for the third side of the triangle given the two sides 10 and 5.
a)
5 < x 10
b)
0 < x < 10
c)
0 < x < 15
d)
5 < x < 15
44.
Describe the possible lengths for the third side of the triangle given the two sides 9 and 22.
a)
13 < x < 31
b)
13 > x > 31
c)
31 > x < 13
d)
31 < x < 13
45.
A(-2, 2) and B(3, 2)
Reflect over the x-axis 
a)
A' (-2, 2), B' (3, 2)
b)
A' (-2, -2), B' (3, -2)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
46.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
47.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
48.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
49.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
50.
Does the image show a Dilation?
a)
Yes
b)
No
51.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
52.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

53.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
54.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
55.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
56.

How many lines of symmetry are there on an equilateral triangle?

a)

0

b)

1

c)

2

d)

3

57.

Does this figure have point symmetry?

a)

Yes

b)

No

58.
Which of the following letters does not have a line symmetry, but has a rotational symmetry:
a)
H
b)
I
c)
Z
d)
X
59.
A rectangle has ...
a)
line symmetry
b)
rotational symmetry
c)
both line and rotaional symmetry 
d)
neither line nor rotational symmetry
60.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)