37 questions

- 1. Multiple Choice
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)

- 2. Multiple Choice
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

- 3. Multiple Choice
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

- 4. Multiple Choice
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

- 5. Multiple Choice
Angle 6 and angle 11 are congruent because ________________ .

Alternate Interior Angles

Same Side Interior Angles

Corresponding Angles

Alternate Exterior Angles

- 6. Multiple Choice
The measures of angles, 4, 7, and ________ is equal to 180 degrees.

2

5

6

10

- 7. Multiple Choice
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

- 8. Multiple Choice
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

- 9. Multiple Choice
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

- 10. Multiple Choice
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

- 11. Multiple Choice
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

- 12. Multiple Choice
A circle is represented by the equation shown.

(x - 1)

^{2}+ (y -2)^{2}= 4Which 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

- 13. Multiple Choice
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

- 14. Multiple Choice
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

- 15. Multiple Choice
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

- 16. Multiple Choice
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

- 17. Multiple Choice
In the figure, Ray PS is tangent to circle O at point S. Arc QR measure 110

^{o}and Arc RS measures 150^{o}.What is the measure, in degrees, of <QPS?

100

75

55

25

- 18. Multiple Choice
What is the area cleared by the windshield wiper blade?

125 in

^{2}183 in

^{2}367 in

^{2}790 in

^{2} - 19. Multiple Choice
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

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

70

^{o}75

^{o}115

^{o}150

^{o} - 21. Multiple Choice
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

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

-5

-2

3

12

- 23. Multiple Choice
Chris is looking up at the top of a tree. He is standing 20 feet from the tree and his line of sight is 35

^{o }from horizontal. His eyes are 5 feet above ground. To the nearest foot, how tall is the tree?14

16

19

25

- 24. Multiple Choice
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

- 25. Multiple Choice
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

- 26. Multiple Choice
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

- 27. Multiple Choice
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

- 28. Multiple Choice
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

- 29. Multiple Choice
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)

- 30. Multiple Choice
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

- 31. Multiple Choice
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

- 32. Multiple Choice
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? - 33. Multiple Choice
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

- 34. Multiple Choice
Determine the area , to the nearest square mile, of the region bounded by the three roads.

27

28

35

38

- 35. Multiple Choice
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

- 36. Multiple Choice
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)

- 37. Multiple Choice
60

100

20

40

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