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Optional Practice - 2nd Quarter Exam Study Guide Part B

Total questions: 83

Worksheet time: 6hrs 52mins

Name
Class
Date
1.

A hexagon is a 7-sided polygon.

a)

True

b)

False

2.

Which term describes a figure with two sets of parallel sides?

a)

Trapezoid

b)

Obtuse

c)

Parallelogram

d)

Equilateral

3.

Which is the MOST specific name of this figure?

a)

Rhombus

b)

Quadrilateral

c)

Rectangle

d)

Square

4.

What do you call a 10-sided polygon?

a)

Decagon

b)

Pentagon

c)

Hexagon

d)

Heptagon

5.

What is a regular polygon?

a)

A polygon that has 1 set of parallel sides and 1 right angle.

b)

A polygon that has 2 sets of parallel sides and 2 right angles.

c)

A polygon that has 2 right angles and 2 sides congruent.

d)

A polygon in which all sides and all angles are congruent.

6.

Which of the following is an irregular polygon?

a)
b)
c)
d)
7.
How many degrees are in a Quadrilateral?
a)
180 degrees
b)
420 degrees
c)
360 degrees
d)
300 degrees
8.
5 sided figure
a)
Quadrilateral
b)
Pentagon
c)
Hexagon
d)
Decagon
9.
A closed figure with no curved sides.
a)
Polygon
b)
Angle
c)
Circle
d)
Line
10.
What is a regular polygon?
a)
Only sides are congruent
b)
All sides and angles are congruent
c)
Only angles are congruent
d)
No congruent sides or angles
11.
A 9 sided figure
a)
Ninagon
b)
Nonagon
c)
Heptagon
d)
Triangle
12.
A parallelogram has 2 sets of parallel sides.
a)
True
b)
False
13.
If the quadrilateral is a rectangle, then the diagonals are congruent.
a)
True
b)
False
14.

What is this shape called?

a)

Rhombus

b)

Hexagon

c)

Trapezium

d)

Pentagon

15.

Which word correctly completes the chart?

a)

Rhombuses

b)

Squares

c)

Trapezoids

d)

Triangles

16.
How many sides does a Quadrilateral have?
a)
4
b)
3
c)
6
d)
9
17.

Check everything that is true about a quadrilateral.

a)

It has 4 sides

b)

It is a closed shape

c)

It is has 4 angles

d)

A circle is one

18.
Why is a Triangle called Isosceles?
a)
It has two sides that match
b)
It has three sides that match
c)
It has no sides that match
d)
It has four sides that match
19.
Why is a Triangle called Equilateral?
a)
It has two sides that match
b)
It has all 3 sides that match
c)
It has no sides that match
d)
It has four sides that match
20.

A triangle has 2 congruent sides and 1- 90 angle. Which TWO terms accurately describe the triangle?

a)

isosceles

b)

obtuse

c)

scalene

d)

acute

e)

right

21.

A square can also be classified as which of the following? Choose ALL that apply.

a)

parallelogram

b)

rectangle

c)

trapezoid

d)

rhombus

e)

quadrilateral

22.
a)
b)
c)
d)
23.

What are the attributes of an isosceles triangle?

a)

It has two congruent or equal sides

b)

It has three congruent or equal sides

c)

It has no congruent or equal sides

d)

It has four congruent or equal sides

24.

A __________ is a quadrilateral with only one pair of parallel sides.

a)

Rhombus

b)

Square

c)

Rectangle

d)

Trapezoid

25.

A ___________ is a quadrilateral that has opposite sides that are parallel and all of its sides are the same length

a)

Rhombus

b)

Trapezoid

c)

Rectangle

d)

Square

26.

A ____________ has 2 pairs of parallel sides.

a)

Trapezoid

b)

Triangle

c)

Parallelogram

d)

Rhombus

27.

Which quadrilateral has 4 right angles, 2 sets of parallel sides, and is also a parallelogram?

a)

Rectangle

b)

Square

c)

Triangle

d)

Rhombus

28.

What does congruent mean?

a)

different size and different shape

b)

same size but different shape

c)

different size but same shape

d)

same size and same shape

29.

Select ALL the properties that both rectangles and parallelograms share.

a)

4 sides

b)

4 right angles

c)

2 pairs of parallel sides

d)

2 pairs of sides with equal length

e)

2 acute angles and 2 obtuse angles

30.

Select ALL the properties that all trapezoids and squares share.

a)

4 sides

b)

4 sides of equal length

c)

at least 1 pair of parallel sides

d)

2 pairs of sides of equal length

e)

2 pairs of angles of equal measure

31.

Using this hierarchy of two dimensional figures, determine which of the following labels can be given to the shape below. Select three that apply.

a)

paralellogram

b)

polygon

c)

quadrilateral

d)

rectangle

32.
All quadrilaterals are parallelograms.
a)
True
b)
False
33.

I am a polygon with congruent sides. Select ALL the answers that are TRUE.

a)

equilateral triangle

b)

rhombus

c)

square

d)

trapezoid

34.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if

necessary.

a)

A

b)

B

c)

C

d)

D

35.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if

necessary.

a)

A

b)

B

c)

C

d)

D

36.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if

necessary.

a)

A

b)

B

c)

C

d)

D

37.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

38.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

39.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

40.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

41.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
42.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
43.
Find the value of X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
44.

Find angle x

a)

247o

b)

67o

c)

157o

d)

203o

45.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
46.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
47.

What is the measure of each interior angle of a Regular Polygon?

a)

S = (n-2)*180

b)

S = ((n-2)*180)/n

c)

S = (n-2)*360

d)

360/n

48.

What is the measure of ONE interior angle of a regular octagon?

a)

135

b)

180

c)

145

d)

190

49.

What is the formula to find the sum of the interior angles of any polygon?

a)

(n - 2)360

b)

180n

c)

(n-2)180

d)

((n-2)180)/n

e)

360/n

50.

How do the interior and exterior angles of a polygon relate?

a)

They are complementary

b)

They are congruent

c)

They are supplementary

d)

They have no relationship

e)

The relationship depends on what polygon is being used

51.

What is the formula to find one exterior angle in a regular polygon?

a)

360/n

b)

(n-2)180

c)

it's always 360o

d)

180/n

e)

((n-2)180)/n

52.
Find the value of y.
a)
125
b)
135
c)
140
d)
110
53.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
54.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
55.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
56.
Find the height of the person using what you know about similar triangles.
a)
4 ft
b)
6.25 ft
c)
1.25 ft
d)
5.75 ft
57.
All angles in similar figures are congruent.  
a)
True
b)
False
58.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
59.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
60.
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
61.

n+37n=16\frac{n+3}{7n}=\frac{1}{6} , solve for n.

(a)  

62.

A triangle has 3 sides lengths in a extended ratio of 2:4:5 and the perimeter is 220. What is the length of the longest side?

(a)  

63.

What is the geometric mean of 5 and 20?

(a)  

64.

What is the geometric mean of 6 and 14? Write your answer in simplest radical form.

a)

84\sqrt[]{84}

b)

4 214\ \sqrt[]{21}

c)

2 212\ \sqrt[]{21}

d)

84

65.
a)

10.4

b)

13.4

c)

6

d)

10.3

66.

√28 in simplest radical form:

a)

7√2

b)

7√4

c)

4√7

d)

2√7

67.
In simplest radical form,
√80 is equivalent to
a)
16√5
b)
2√20
c)
4√5
d)
8√5
68.

Solve for x and y.

a)

x = 2√26; y = 4√3

b)

x = 2√21; y = 6

c)

x = 2√21; y = 4√3

d)

None of these

69.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

70.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

71.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

72.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

73.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

74.

Give the appropriate theorem or postulate that can be used to prove the triangles similar:

a)

AA Postulate

b)

ASA Postulate

c)

SSS Postulate

d)

SAS Postulate

75.

Which method can be used to show that the two triangles at the right are similar?

a)

AA~

b)

SSS~

c)

SAS~

d)

Cannot be shown

76.

Which of the following is a correct similarity statement for the following triangles? Check all that apply.

a)

ΔSRTΔMLN\Delta SRT\sim\Delta MLN

b)

ΔTSRΔNML\Delta TSR\sim\Delta NML

c)

ΔTRSΔLNM\Delta TRS\sim\Delta LNM

d)

ΔRTSΔNLM\Delta RTS\sim\Delta NLM

e)

ΔSTRΔMNL\Delta STR\sim\Delta MNL

77.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
78.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
79.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
80.

What is the Reasons for #2 and #3?

a)

#2 - Corresponding Angles

#3 - AA ~

b)

#2 - Reflexive

#3 - AA ~

c)

#2 - Reflexive

#3 - SAS ~

d)

#2 - Corresponding Angles

#3 - SAS ~

81.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
82.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
83.
Find the value of x.
a)
17.5
b)
10
c)
7
d)
17