Geometry EOC Practice TN
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• Question 1
300 seconds
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Q.

A square GHJK with coordinates G(-2, 6), H(3, 6), J(3, 1), K(-2,1) is reflected over the x-axis. What are the new coordinates?

None of these

G(2, -6), H(-3, -6), J(-3, -1), K(2,-1)

G(2, 6), H(-3, 6), J(-3, 1), K(2,1)

G(-2, -6), H(3, -6), J(3, -1), K(-2,-1)

• Question 2
300 seconds
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Q.

For which transformation would Triangle RST have image R'S'T'?

180 degree rotation

a reflection over the y-axis

a translation left 8 units

a reflection over the x-axis

• Question 3
300 seconds
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Q.

Isosceles Trapezoid RSTU, K is midpoint of RS, L is midpoint of ST, M is midpoint of TU, and N is midpoint of RU. Point P is the intersection of KM and NL. Which transformation carries the trapezoid onto itself?

a 90 degree rotation clockwise about P

a 180 degree rotation clockwise about P

a reflection over KM

a reflection over NL

• Question 4
300 seconds
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Q.

Find the equation of the line that passes through point (-1,-5) and perpendicular to the line shown.

y = 1/2x - 4.5

y = 2x - 3

y = 2x - 4.5

y = -1/2x - 5.5

• Question 5
300 seconds
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Q.

Angle 6 and angle 11 are congruent because ________________ .

Alternate Interior Angles

Same Side Interior Angles

Corresponding Angles

Alternate Exterior Angles

• Question 6
300 seconds
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Q.

The measures of angles, 4, 7, and ________ is equal to 180 degrees.

2

5

6

10

• Question 7
300 seconds
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Q.

Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and a height of 60 centimeters. She wants the tablecloth to hand an even 10 centimeters above the ground.

Which design would give Shanika what she wants?

a circular piece of cloth with radius of 90 centimeters

a circular piece of cloth with radius of 100 centimeters

a circular piece of cloth with radius of 110 centimeters

a circular piece of cloth with radius of 130 centimeters

• Question 8
300 seconds
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Q.

The three line segments dividing the two sides of the triangle are parallel to the base of the triangle. Which proportion can be used to find the value of x?

1/4 = x/8

1/4 = 8/x

24/20 = x/8

24/40 = 8/x

• Question 9
300 seconds
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Q.

Determine which statement is true in regard to Triangle ABC and Triangle LMN.

ABC ~ LMN by AA criterion

ABC ~ LMN by SAS criterion

ABC ~ LMN by SSS criterion

ABC ~ LMN are not similar

• Question 10
300 seconds
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Q.

The Triangles QTP and SPT are shown. Ray MR is a perpendicular bisector of the line segment PT and intersects line segment PT at point M.

Which transformation would indicate that Triangle QTP ~ Triangle SPT?

horizontal translation of length PR

horizontal translation of length PT

reflection over QT

reflection over MR

• Question 11
300 seconds
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Q.

Triangle 1 is transformed to create Triangle 2 such that sides RS, RT, and ST are congruent to sides VW, VU, and WU.

Select the answer that correctly completes the following statement.

Triangle RST must be congruent to Triangle VWU because of the __________ theorem. Thus, <STR must be congruent to < ________ .

ASA

SSS

SAS

WUV

UVW

• Question 12
30 seconds
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Q.

A circle is represented by the equation shown.

(x - 1)2 + (y -2)2 = 4

Which statement represents the graph of the circle?

Center (1, 2), radius of 2

Center (1, 2), radius of 4

Center (-1, -2), radius of 2

Center (-1, -2), radius of 4

• Question 13
180 seconds
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Q.

In  $\Delta QRS,\ m\angle Q=23\degree\ and\ m\angle R=66\degree$  What is the measure, in degrees of  $m\angle S$  ?

90

81

91

80

• Question 14
300 seconds
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Q.

Graph right triangle RST with vertices R(-3, 6), S(3, 6), and T(3, -2). Then find the center and radius of the circumscribed circle for Triangle RST>

center (-2, 0), radius = 3

center (0, 2), radius = 5

center (2, 0), radius = 3

center (0, -2), radius = 5

• Question 15
120 seconds
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Q.

The measurements of the circumferences and radii of circles with different areas are recorded and analyzed. Which statement justifies why this information can be used to approximate the value of pi?

The area of a circle varies inversely with the radius

The circumference of a circle varies inversely with the radius

The circumference of a circle varies directly as the radius

The area of a circle varies directly as the radius

• Question 16
180 seconds
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Q.

Triangle RST ~ Triangle UST

Select the true statement.

Triangle STU is a right triangle

RS = 4/3 x cm. in length

<RVS + <UST = 90 degrees

<VRS = <STU

• Question 17
180 seconds
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Q.

In the figure, Ray PS is tangent to circle O at point S. Arc QR measure 110o and Arc RS measures 150o.

What is the measure, in degrees, of <QPS?

100

75

55

25

• Question 18
300 seconds
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Q.

What is the area cleared by the windshield wiper blade?

125 in2

183 in2

367 in2

790 in2

• Question 19
300 seconds
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Q.

In the figure shown Triangle RST ~ Triangle UVW.

Which of the following expressions represents tan(R) in terms of m and p?

m/2p

2p/m

2m/p

p/2m

• Question 20
30 seconds
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Q.

The two chords shown in the circle intercept the given arcs. What is the measure of <MPN?

70o

75o

115o

150o

• Question 21
300 seconds
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Q.

Andrea wants to build a rectangular play area for her dog using 36 feet of fencing. She wants the play area to be as large as possible. Determine the length and width, in feet, of the play area Andrea should build.

Length = ___________, Width = ___________

2, 16

3, 15

6, 6

9, 9

• Question 22
300 seconds
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Q.

Parallelogram RSTU is shown. The perimeter of parallelogram RSTU is 50 centimeters. What is the value for x?

-5

-2

3

12

• Question 23
30 seconds
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Q.

Chris is looking up at the top of a tree. He is standing 20 feet from the tree and his line of sight is 35o from horizontal. His eyes are 5 feet above ground. To the nearest foot, how tall is the tree?

14

16

19

25

• Question 24
300 seconds
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Q.

Rectangle ABCD is shown.

The measure of diagonal BD is _____________ cm.

The perimeter of triangle CDE is ____________ cm.

15, 84

18, 57

24, 54

30, 48

• Question 25
300 seconds
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Q.

A right triangle has leg lengths of 3 centimeters and 4 centimeters. What is cosX where X is the smallest angle of the triangle?

Round to the nearest tenth.

0.8

5.0

0.6

1.3

• Question 26
900 seconds
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Q.

Complete Steps 2, 3, and 5 in the proof shown.

Step 2: Substitution

Step 3: Alternate Interior Angles are congruent

Step 5: Vertical Angles are congruent

Step 2: Vertical Angles are congruent

Step 3: Corresponding Angles are congruent

Step 5: Alternate Interior Angles are congruent

Step 2: Alternate Interior Angles are congruent

Step 3: Corresponding Angles are congruent

Step 5: Substitution

Step 2: Alternate Interior Angles are congruent

Step 3: Alternate Interior Angles are congruent

Step 5: Substitution

• Question 27
300 seconds
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Q.

Write the equation of the line that is parallel to the line with equation -2x + y = 1 and passes through point (1, -1).

y = -2x - 3

y = -2x - 1

y = 2x - 3

y = -1/2x - 1

• Question 28
300 seconds
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Q.

The dimensions of a rectangular prism is 26 inches by 10 inches by 8 inches. What is the surface area, in square inches, of the prism?

548

936

1096

2080

• Question 29
300 seconds
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Q.

Reflect the Triangle RST over the x-axis first and then over the y-axis in the coordinate pane. Which of the following are coordinates after the final transformation?

(-1, -2)

(3, -5)

(-3, -5)

(3, -6)

(1, -2)

• Question 30
300 seconds
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Q.

Mr. Miller is trying to determine the width of the pond. He makes the measurements shown.

To the nearest foot, what is the width of the pond?

72

83

249

288

• Question 31
300 seconds
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Q.

Quadrilateral LMNO has coordinates L(5,6), M(9,8), N(11,12), and O(7, 10). How can quadrilateral LMNO be classified?

square

rhombus but not a square

rectangle but not a square

parallelogram but neither a rhombus nor a rectangle

• Question 32
300 seconds
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Q.

The illustration shown represents the intersection of three roads: Highway 35, State Road 17, and Interstate-16. The region bounded by the three roads is represented by Triangle ABC. Each unit in the grid represents 1 mile. Which statements are true?

• Question 33
300 seconds
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Q.

A cell tower is to be constructed at the circumcenter of Triangle ABC. How far, to the nearest hundredth mile, will the cell tower be from the intersection of Highway 35 and State Route 17?

4.12

4.53

5.10

5.39

• Question 34
300 seconds
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Q.

Determine the area , to the nearest square mile, of the region bounded by the three roads.

27

28

35

38

• Question 35
300 seconds
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Q.

A new road is to be constructed such that it will be parallel to Highway 35 and pass through Interstate 16 at Point D. What is the slope of the line that would represent the new road?

-3/7

-7/3

7/3

3/7

• Question 36
30 seconds
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Q.

A line segment has endpoints R(-2, -2) and S(4, 1). What are the coordinates of the point that is 2/3 the way from R to S on this line segment?

(3, 1)

(-1, -1)

(0, -1)

(2, 0)

• Question 37
30 seconds
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Q.