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Worksheets

Spring Break Review

Total questions: 160

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

What is the slope of the line below?

a)

5/3

b)

3/5

c)

-5/3

d)

-3/5

2.
What is the midpoint of A(-19, -6) and B(15, 16)?
a)
(2, 5)
b)
(4, 10)
c)
(17, 11)
d)
(5, 2)
3.
What is the midpoint of A(-19, -6) and B(15, 16)?
a)
(2, 5)
b)
(4, 10)
c)
(17, 11)
d)
(5, 2)
4.
A line segment has an endpoint at (4, -2) and a midpoint at (8, 4). 
What is the other endpoint?
a)
(12,10)
b)
(20, 6)
c)
None of these
5.
What is the length of the line with endpoints (5, 3) and (9, 1)?
a)
5.4
b)
10
c)
4.5
d)
20
6.

Given the graph below, which statements are true?

a)

DE || KS

b)

DK ⊥ KS

c)

DS ≅ KE

d)

KD ≅ SE

e)

mdpt DS = mdpt KE

7.
What is the coordinate of point P that lies along the directed line segment from Q(2 5) to R(7, 12) and partitions the segment in the ratio of 3:2?
a)
(3, 4.2)
b)
(4.5, 8.5)
c)
(5, 9.2)
d)
(5, 7)
8.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
9.
Which is an equation of the line that is perpendicular to line a and passes through the point (-4, 0)?
a)
y = -1/2x +2
b)
y = -1/2x + 8
c)
y = 2x - 2
d)
y = 2x + 8
10.

The diagram above shows which special line?

a)

Median

b)

Midsegment

c)

Altitude

d)

Perpendicular bisector

11.

Which shows the starting step of constructing a square?

a)
b)
c)
d)
12.

Choose ALL the degrees of rotation that will map a regular hexagon onto itself.

a)

90

b)

120

c)

150

d)

240

e)

300

13.

In the image above, L is the image of G after a translation. What is the image of J after the same translation? (a)  

Choose from the below words
C
E
B
K
14.

Describe the transformation shown in the graph.

(Black shape is the pre-image)

a)

Reflect across x=2x=-2  

b)

Translate 2 units right

c)

Reflect across  y=2y=-2  

15.

Describe the transformation shown in the graph.

(Black shape is the pre-image)

a)

Reflect across y=1y=1

b)

Reflect across the y-axis

c)

Reflect across the x-axis

16.

Describe the transformation shown in the graph.

(Black shape is the pre-image)

a)

Reflect across x=2x=-2

b)

Reflect across x=2x=2

c)

Rotate 90 degrees

17.

Describe the transformation shown in the graph.

(Black shape is the pre-image)

a)

Reflect across x=2x=2

b)

Reflect across x=1x=1

c)

Translate 4 units right

18.

Describe the transformation shown in the graph.

(Gray shape is the pre-image)

a)

Reflect across x=2x=-2

b)

Reflect across y=2y=-2

c)

Translate 4 units down

19.

Describe the transformation shown in the graph.

(Gray shape is the pre-image)

a)

Reflect across the x-axis

b)

Reflect across the y-axis

c)

Translate 4 units down

20.

Which sequence of translations could result in the transformation shown in the graph? Select ALL that apply.

(Black shape is the pre-image)

a)

2 units down, 1 unit right

b)

2 units down, 2 units left

c)

1 unit right, 2 units down

d)

1 unit right, 1 unit down

21.

Which sequence of translations could result in the transformation shown in the graph? Select ALL that apply.

(Black shape is the pre-image)

a)

2 units down, 1 unit right

b)

2 units down, 2 units left

c)

1 unit right, 2 units down

d)

1 unit right, 1 unit down

22.

What do we call... The original object before geometric transformations.

(Hint: it is usually labeled using prime symbols, such as ABC)

a)

pre-image

b)

original

c)

image

d)

unique

23.

What do we call... The object after geometric transformation(s) have occurred.

(Hint: it is usually labeled using prime symbols, such as A’B’C')

a)

pre-image

b)

original

c)

image

d)

unique

24.
a)

17

b)

289

c)

68

d)

36

e)

144

25.

What is the measure of m<NLO?

a)

40

b)

22

c)

118

d)

74

e)

62

26.

You can prove ABCD is which kind of quadrilateral?

a)

Square

b)

Rhombus

c)

Rectangle

d)

Parallelogram

27.
A parallelogram is always a rectangle if...
a)
Diagonals intersect at right angles
b)
The diagonals bisect each other
c)
The diagonals are congruent
d)
The opposite angles are congruent
28.

Quadrilateral LMNO has diagonals LN and MO. Which information is not sufficient to prove LMNO is a parallelogram?

a)

LN and MO bisect each other.

b)

LM = NO and MN = OL

c)

LM=NO and LM || NO

d)

LM = NO and MN || LO

29.

Which of the following are properties of parallelograms?

a)

Opposite sides are parallel and congruent

b)

Opposite angles are congruent

c)

Diagonals are congruent

d)

Consecutive angles are congruent

e)

Diagonals bisect each other

30.
a)

35

b)

55

c)

10

d)

110

31.

Find the measure of angle DCE.

a)

109

b)

15

c)

71

d)

94

32.
a)

40

b)

80

c)

100

d)

120

33.

Given line l is parallel to line m, find the measure of angle A.

a)

70

b)

30

c)

40

d)

10

34.

Which value of y will make k||m?

a)

115

b)

65

c)

5

d)

90

35.

What is the minimum information needed to show congruence through ASA?

a)

C is the midpoint of EB

b)

AB || ED

c)

∠A ≅ ∠D

d)

ED ≅ AB

36.
a)

35

b)

55

c)

10

d)

110

37.

In the diagram of ABCD above, DC is extended to E, and AE is drawn such that AE=AD. If m∠B=124, what is m∠EAD?

a)

124

b)

112

c)

68

d)

56

38.

Which of the following is not a property of all parallelograms?

a)

Opposite sides are congruent

b)

Diagonals bisect each other

c)

Diagonals are congruent

d)

Opposite angles are congruent

39.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
40.
Find x and y. 
a)
x=8√2, y = 8
b)
x = 8, y = 16
c)
x=8, y = 8√2
d)
x = 8, y = 16√2
41.
Find x and y. 
a)
x=4, y = 2
b)
x=2, y = 4
c)
x=√3, y = 2√3
d)
x=2√3, y=√3
42.
Name 2 angles that are complementary.
a)
Angles CBD and DBE
b)
Angles ABC and DBE
c)
Angles ABC and CBE
d)
Angles ABC and CBD
43.
Name a pair of angles that are vertical.
a)
Angles 4 and 5
b)
Angles 7 and 9
c)
Angles 8 and 9
d)
Angles 5 and 7
44.
Given
m∠ABC = 94°, find m∠CBD.
a)
m<CBD = 18
b)
m<CBD = 25
c)
m<CBD = 69
d)
m<CBD = 94
45.
∠B is a complement of ∠A and m∠A= 65.2° Find m∠B
a)
22.8°
b)
24.8°
c)
114.8°
d)
115.8°
46.
Convex or Concave?
a)
Convex
b)
Concave
47.
Solve for x.
a)
7
b)
-4
c)
8
d)
9
48.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
49.

The triangles above can be shown congruent through which criteria?

a)

SSS

b)

SAS

c)

AAS

d)

ASA

50.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
51.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
52.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
53.
A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?
a)
The perimeter of the new triangle is ⅓ that of the original triangle
b)
The perimeter of the new triangle is 3 times that of the original triangle.
c)
The perimeter of the new triangle is 1/9 that of the original triangle.
d)
The perimeter of the new triangle is 9 times that of the original triangle
54.
What additional information is required for the 2 triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
55.
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)
56.
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)
57.
In right triangle ABC, angles A and B are complementary. Value of cos A is 0.62. What is sin B? 
a)
0.62
b)
.
.01
c)
38
d)
52
58.
The shadow of a building is 8 meters long on level ground.  The building and the ground are perpendicular to each other.  The angle of elevation from the tip of the shadow to the top of the building is 42 degrees.  Based on this information, calculate the height of the building.
a)
8.9 m
b)
18.3 m
c)
3.5 m
d)
7.2 m
59.
A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
a)
19.80
b)
18.71
c)
70.20
d)
71.29
60.
The playing surface of a football field is 300 ft long and 160 ft wide. If a player runs from one corner of the field to  the opposite corner, how many feet does he run?
a)
253.77
b)
140
c)
340
d)
460
61.

The triangles above can be shown congruent through which criteria?

a)

SSS

b)

SAS

c)

AAS

d)

ASA

62.

Which lines in the proof above contain errors? (Select all that apply)

a)

1

b)

2

c)

3

d)

4

63.

Given ΔABC≅ΔXYZ, which statements are not always true?

a)

BC = YX

b)

mA = m∠X

c)

area of ΔABC = area of ΔXYZ

d)

perimeter of ΔABC= perimeter of ΔXYZ

e)

m∠ACB = m∠XYZ

64.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
65.

Reflect the shape over the line y = x. Where is A'?

a)

(7, 2)

b)

(-2, 7)

c)

(2, -7)

d)

(-7, -2)

66.

Which would be the correct notation for the composition of transformations from blue to red to green?

a)

<-4,0> then Ry axis

b)

Ry axis then <0, -4>

c)

<0, -4> then Ry axis

d)

Rx axis then Ry axis

67.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
68.
In a parallelogram, opposite angles are ________.
a)
congruent
b)
supplementary
c)
consecutive
d)
parallel
69.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
SSS
d)
Not Possible
70.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
71.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
72.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
73.
Find the value of X
a)
20
b)
30
c)
21
d)
19
74.
Solve for the value of x
a)
15
b)
30
c)
10
d)
25
75.

A square is a rhombus.

a)

always true

b)

sometimes true

c)

never true

76.

Two properties of a quadrilateral are listed below.

· The quadrilateral always has 4 congruent angles

· The quadrilateral does not always have 4 congruent sides


Which of the following quadrilaterals has both properties?

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

77.

Which quadrilateral(s) have congruent diagonals? Select all that apply.

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

78.
Which statement is true?
a)
A rhombus is never a square.
b)
A rhombus is always a square.
c)
A rhombus is never a rectangle.
d)
A rhombus is always a parallelogram.
79.
BCDE is square.  Find m∠BFC
a)
45
b)
90
c)
180
d)
40
80.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
81.

If ABCD is a parallelogram, what is the length of BD?

a)

14

b)

12

c)

10

d)

5

82.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
83.

If JOSE is a rhombus and the measure of angle ESO is 124, what is the measure of angle SEO?

a)

28

b)

56

c)

62

d)

90

84.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
85.

If PN = 2x + 5, ON = x + 3, and OS = 3x - 2. Solve for PS.

a)

7 units

b)

10 units

c)

17 units

d)

19 units

86.
The diagonals of a parallelogram always ... 
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
87.
a)
x = 40 , y = 40 
b)
x = 30, y = 30
c)
x = 40, y = 30
d)
x = 30, y = 40
88.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides equal
b)
Opposite sides parallel
c)
Diagonals bisect each other
d)
Not enough info
89.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides parallel
b)
Opposite angles equal
c)
Opposite sides equal and parallel
d)
Not enough info
90.
Is this quadrilateral a parallelogram?
a)
Yes. Diagonals bisect each other
b)
no
c)
Yes. Opposite angles are congruent
d)
Yes. Opposite sides are congruent
91.

Is this quadrilateral a parallelogram? If so, give a reason.

a)

No

b)

Yes. Opposite sides are parallel

c)

Yes. Opposite sides are congruent

d)

Yes. Opposite angles are congruent

92.

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

a)

Opposite sides parallel

b)

Opposite sides equal

c)

One pair of opposite sides are parallel AND equal

d)

Not enough info

93.

What are the properties of a parallelogram?

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

All sides are congruent

e)

Consecutive angles are supplementary

94.

What are the properties of a rectangle?

a)

Four right angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals bisect each other

e)

Diagonals are congruent

95.

What are the properties of a Rhombus?

a)

All sides are congruent

b)

Diagonals are perpendicular

c)

Opposite angles are congruent

d)

One pair of parallel sides

e)

Consecutive angles are supplementary

96.

Which quadrilateral(s) have opposite sides that are parallel?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

97.

Which quadrilateral(s) have opposite sides that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

98.

Which quadrilateral(s) have opposite angles that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

99.

Which quadrilateral(s) have diagonals that bisect each other?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

100.

Which quadrilateral(s) have four congruent sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

101.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

102.

Which quadrilateral(s) have diagonals that bisect opposite angles?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

103.

Which quadrilateral(s) have four right angles?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

104.

Which quadrilateral(s) have one pair of parallel sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

105.

Which of the following statements is false?

a)

Quadrilaterals have four sides.

b)

Squares are quadrilaterals.

c)

All squares are rectangles.

d)

All rectangles are squares.

106.
A rhombus has all of the properties of a 
a)
Parallelogram
b)

Trapezoid

c)
Kite
d)
Square
107.
Which statement is FALSE? 
A parallelogram _____________
a)
Has 2 sets of parallel sides
b)
Has diagonals that are perpendicular
c)
Has diagonals that bisect each other
108.
Which quadrilateral is also considered a rhombus, rectangle, and parallelogram?
a)
Trapezoid
b)
Triangle
c)
Square
d)
Hexagon
109.

Select all shapes where the sum of the angles is 360o

a)
b)
c)
d)
110.

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

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

111.

What are the lengths of LN and KM? Select all that apply.

a)

14

b)

32

c)

48

d)

16

112.
Which is not a method of proving quadrilaterals are parallelograms?
a)
Both pairs of opposite sides are congruent.
b)
Both pairs of opposite sides are parallel.
c)
Both pairs of opposite angles are congruent. 
d)
Consecutive angles are supplementary. 
113.
State which method we can use to show that the quadrilateral is a parallelogram. 
a)
Both pairs of opposite angles are congruent.
b)
Both pairs of opposite sides are congruent.
c)
Both pairs of diagonals bisect each other.
d)
Both pairs of opposite sides are parallel. 
114.
State which method we can use to show that the quadrilateral is a parallelogram. 
a)
Both pairs of opposite angles are congruent.
b)
Both pairs of opposite sides are congruent.
c)
Both pairs of diagonals bisect each other.
d)
Both pairs of opposite sides are parallel. 
115.

Is this a parallelogram?

a)

Yes, both pairs of opposite sides are parallel

b)

Yes, both pairs of opposite sides are congruent

c)

Yes, both pairs of opposite angles are congruent

d)

Yes, one pair of sides is both congruent and parallel

e)

No

116.
Is there enough information to determine that this quadrilateral is a parallelogram?
a)
yes
b)
no
117.

Is this a parallelogram

a)

Yes, both pairs of opposite sides are parallel

b)

Yes, both pairs of opposite sides are congruent

c)

Yes, both pairs of opposite angles are congruent

d)

Yes, one pair of sides is both congruent and parallel

e)

No

118.

Is this a parallelogram

a)

Yes, both pairs of opposite sides are parallel

b)

Yes, both pairs of opposite sides are congruent

c)

Yes, both pairs of opposite angles are congruent

d)

Yes, one pair of sides is both congruent and parallel

e)

Yes, the diagonals bisect each other

119.

Is this a parallelogram

a)

Yes, both pairs of opposite sides are parallel

b)

Yes, both pairs of opposite sides are congruent

c)

Yes, both pairs of opposite angles are congruent

d)

Yes, one pair of sides is both congruent and parallel

e)

No

120.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 4, y = 3

b)

x = 3, y = -2

c)

x = 1, y = 4

d)

x = 3, y = 4

121.

Show that the quadrilateral is a parallelogram. Select all that apply.

a)

All of the angles are congruent.

b)

All of the side lengths are congruent.

c)

The opposite sides are parallel.

d)

The opposite sides are congruent.

122.

Which method will NOT prove the quadrilateral is a parallelogram.

a)

Show that a pair of sides are congruent and parallel.

b)

Show that both pairs of opposite sides are congruent

c)

Show that both pairs of opposite sides are parallel

d)

Show that a pair of sides are parallel

123.

State which method we can use to show that the quadrilateral is a parallelogram.

a)

Both pairs of opposite angles are congruent.

b)

Both pairs of opposite sides are congruent.

c)

Both pairs of diagonals bisect each other.

d)

Both pairs of opposite sides are parallel.

124.

Which is NOT a property of a parallelogram?

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Both pairs of opposite sides are parallel

d)

Both pairs of opposite angles are congruent

125.

Determine whether the figure is a parallelogram. If so, state the reason.

a)

Yes, quadrilateral with 2 pairs of opposite sides ≅

b)

Yes, quadrilateral with 2 pairs of opposite angles ≅

c)

Yes, quadrilateral with diagonals bisecting each other

d)

not a parallelogram

126.

Is this a parallelogram? How do we know?

a)

yes,opposite sides are congruent

b)

no we can not prove it is a parallelogram

c)

yes, one pair of sides are congruent and parallel

d)

yes, opposite sides are parallel

e)

yes, diagonals bisect each other

127.

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

a)

Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

128.

Is the quadrilateral a parallelogram?

a)

Yes

b)

No

c)

Not enough information.

129.

State which method we can use to show that the quadrilateral is a parallelogram. 

a)

Both pairs of opposite angles are congruent.

b)

Both pairs of opposite sides are congruent.

c)

Both pairs of diagonals bisect each other.

d)

Both pairs of opposite sides are parallel. 

130.

How long is the side CD?

a)

7

b)

3

c)

35

d)

27

131.

Is there enough information to determine that this quadrilateral is a parallelogram?

a)

yes

b)

no

132.

Find the value of x that makes the quadrilateral a parallelogram.

a)

29

b)

42

c)

78

d)

11

133.

Find the value of x that makes the quadrilateral a parallelogram.

a)

41

b)

12

c)

14

d)

This quadrilateral cannot be a parallelogram.

134.

Find the value of x that makes the quadrilateral a parallelogram.

a)

5

b)

35

c)

75

d)

180

135.

Can you show that this quadrilateral is a parallelogram?

a)

Yes

b)

No

136.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x=12, y=20

b)

x=12, y=19.2

c)

x=20, y=12

d)

x=30, y=30

137.

If you wanted to prove that Quadrilateral ABCD is a Parallelogram, what would be the best piece of evidence to use?

a)

Length of AC = Length of BD, therefore Side AC is congruent to Side BD

b)

Length of AC = Length of BD, therefore Side AC is parallel to Side BD

c)

Slope of AC = Slope of BD, therefore Side AC is parallel to Side BD

d)

The Slopes of AC and BD are opposite reciprocals, therefore Side AC is parallel to Side BD

138.

Find k: 6k+7=94k\frac{6}{k+7}=\frac{9}{4k}  

a)

8.6

b)

-3

c)

9.5

d)

4.2

139.

Triangle ABC can be taken to a triangle A'B'C' using rigid motions and a dilation. Select ALL the equations that are true.

a)

ACBA=ACBA\frac{A'C'}{B'A'}=\frac{AC}{BA}  

b)

BCBA=BABC\frac{B'C'}{B'A'}=\frac{BA}{BC}  

c)

ACAC=BABA\frac{AC}{A'C'}=\frac{B'A'}{BA}  

d)

CACA=CBCB\frac{CA}{C'A'}=\frac{CB}{C'B'}  

e)

ABAB=CBCB\frac{A'B'}{AB}=\frac{C'B'}{CB}  

140.

Is line BC parallel to line DE? Choose the best justification.

a)

Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 3 from point A.

b)

Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 2 from point A.

c)

Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 43\frac{4}{3}   from point A.

d)

Line BC is not parallel to line DE because there is no dilation that sends triangle ADE to triangle ABC.

141.

Triangle ABC is similar to triangle EFD. What scale factor is required to dilate triangle ABC so that its image , A'B'C' is congruent to triangle EFD?

a)

3

b)

125\frac{12}{5}  

c)

512\frac{5}{12}  

d)

13\frac{1}{3}  

142.

Reorder the following so that the sequence of transformations takes square EFGH to square ABCD.

a)

Translate square EFGH by directed line segement from point E to point A.

b)

Rotate square EFGH about point A so that point F is collinear with points A & B.

c)

Dilate square EFGH by a scale factor of 52\frac{5}{2}  

1)
2)
3)
143.

Select ALL true statements given that angle AED is congruent to angle ABC.

a)

ACB=180x\angle ACB=180-x  

b)

ACB=x\angle ACB=x  

c)

ΔACBΔADE\Delta ACB\sim\Delta ADE  

d)

AD=13ACAD=\frac{1}{3}AC  

e)

AD=12ACAD=\frac{1}{2}AC  

144.
The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰.  A similar triangle is created by using a dilation with a scale factor of 2.  What are the measures of the angles of this triangle?
a)
53⁰,78⁰, and 49⁰
b)
There is not enough information to answer this question.
c)
106⁰,156⁰, and 98⁰
d)
26.5⁰,39⁰, and 24.5⁰
145.
All corresponding sides are congruent in any similar figure.
a)
True
b)
False
146.
All corresponding angles are congruent in similar figures.
a)
True
b)
False
147.
Identify the perimeter and area ratios for the following figures.
a)
Per. Ratio=8  Area Ratio=64
b)
Per. Ratio=8/48  Area Ratio=64/2304
c)
Per. Ratio=8/48  Area Ratio=8/48
d)
Per. Ratio=8/48  Area Ratio=2304/64
148.

Match the following

a)
1.

SAS∆~

b)
2.

Not Similar

c)
3.

SSS∆~

d)
4.

AA∆~

149.
Are the triangles similar? If so, what similarity shortcut is used? Show all work.
a)
Similar.  SAS
b)
Similar.  AA
c)
Similar. SSS
d)
Not Similar
150.
Identify the  missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
151.
Are the triangles similar? If so, what similarity shortcut is used?  Show all work.
a)
Similar.  SAS
b)
Similar.  AA
c)
Similar.  SSS
d)
Not Similar
152.
Determine whether the triangles are similar.
a)
SSS~
b)
AA~
c)
SAS~
d)
not similar
153.
Are the triangles similar? If so, what similarity shortcut is used? Show all work.
a)
Similar.  SSS
b)
Similar.  SAS
c)
Similar.  AA
d)
Not Similar.
154.

Examine the diagram of the two triangles. Choose the facts that would make ΔDEFΔMNL\Delta DEF\sim\Delta MNL  .

a)

DEMN=DFML\frac{DE}{MN}=\frac{DF}{ML}  

b)

D=20°\angle D=20\degree  

c)

N=100°\angle N=100\degree  

d)

F=60°\angle F=60\degree  

e)

D=60°\angle D=60\degree  

155.

sin25=cos(x+11)\sin25=\cos\left(x+11\right)  
x=x=  


(a)  

156.
Which ratio would you use to find the length of the side labeled c?
a)
sin 39 = 6/c
b)
sin 39 = c/6
c)
cos 39 = 6/c
d)
cos 39 = c/6
157.

Find the length of side W

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

158.
The shadow of a building is 8 meters long on level ground.  The building and the ground are perpendicular to each other.  The angle of elevation from the tip of the shadow to the top of the building is 42 degrees.  Based on this information, calculate the height of the building.
a)
8.9 m
b)
18.3 m
c)
3.5 m
d)
7.2 m
159.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
160.

A rope is tied to the bottom of a hot air balloon as shown. The rope makes an angle of 350 with the ground and is 75ft. long. How far is the bottom of the balloon from the ground to the nearest foot?

a)

43 ft.

b)

53 ft.

c)

61 ft.

d)

131 ft.