Tnready Review

Name ______Date ______

TNReady Review

______1. What is the arc length of an angle of radians formed on the unit circle?

1. B. C. D.

2. Select ALL the answers that represent an equation of a line that is perpendicular to the given line.

y = y = 5x + 4y = 8

4x + 5y = 12 5x = 4y - 3 12 - 4y = 5x

______3. Bryan purchased two triangular wall shelves. The sides of each shelf are 8 inches, 10 inches, and 12 inches. He’s trying to build a similar, larger triangular shelf to hang between the smaller ones. Which of the dimensions can Bryan use for the larger shelf so that it is similar to the ones he purchased? Justify why the three triangles are similar.

1. 4 inches, 5 inches, and 6 inches; All of the sides lengths are of the similar triangles have been multiplied by ½, which guarantees side-side-side similarity.
2. 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity.
3. 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-angle-side similarity.
4. 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees angle-angle-side similarity.

______4. Find the measure of

1. 10B. 54C. 71D. 90

______5. In the neighborhood park there is a circular grassy picnic area, but half of the grass has died. The city wants to replant the grass, but needs to know the square footage of the damaged area. If the circular picnic area is 150 feet across, what is the square footage of the damaged area?

1. 17671.5 ft2B. 8835.7 ft2

1. 70685.8 ft2D. 35342.9 ft2

______6. Find the length of side AC.

______7. Circle P and Circle Q are similar. What is the scale factor of P to Q?

8. List the sides of the triangle in order from SHORTEST to LONGEST.

______, ______, ______

______9. The batteries in the diagram best resembles what geometric solid?

______10. Which triangle would be congruent to the original using a reflection over the x-axis and the y-axis?

11. Find the measure of D if: A = , B = , C = , D = Place your answer in the space provided.

m = ______

12. In the circle below, the length of AO is 1, and x = 88. What is the area of sector AOB? Leave your answer in terms of pi and place your answer in the space provided.

Area of sector AOB = ______

______13. Consider circle H with a 3 centimeter radius. If the length of minor arc RT is , what is the measure of ?

1. 20B. 30C. 40D. 60

______14. Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are equal. Prove that

Quadrilateral ABCD is a parallelogram by finding the value of x.

______15. Determine the measure of .

1. 3 cmB. 4 cmC. 5 cm D. 6 cm

______16. The portion of the sailboat outlined in this photo closely resembles a(n)

17. is a point of tangency. Segments and have a common point at . Find the length of

______18. If square is dilated by a scale factor of with a dilation center of , what will be the coordinates of point ?

1. (1, 1)B. (-1, 1)C. (1, -1) D. (0, -1)

19. What does it mean if two figures are similar? Select ALL of the options that could apply. Below is an example.

The figures have the same sizeThe figures have the same shape

The figures have different sizes The figures have different shapes

______20. A track has the shape shown. What is the perimeter (round to three decimal places)?

21. Refer to the figure from problem 20 to find the area of the region inside the track (round to three decimal places)?

______

______22. The scale on a map is 1 cm = 50 miles. The distance on the map between Sweetwater and

Lakeview is 4.2 cm. What is the actual distance between Sweetwater and Lakeview?

______23. If and , find .

______24. The net shown represents what Geometric solid?

A. Cone B. Cylinder C. Prism D. Sphere

______25. Four rectangles are shown in the diagram. For which pair of rectangles is the ratio of the side

lengths 1:3?

A. D to C B. D to B C. C to B D. B to A

______26. Fill in the missing reason in the proof.

Given: Prove:

A. Definition of straight angles B. Alternate Interior Angles are congruent

C. Supplementary angles sum up to D. Complementary angles sum up to

_____ 27. A sphere has a radius of 6 inches and a surface area of . The radius of the sphere will be

doubled. How will this affect the surface area of the sphere?

A. It will be tripled.B. It will be doubled.

C. It will be the same.D. It will be quadrupled.

_____ 28. After placing the compass point on one end of the line segment and striking an arc above and below

that segment, what is the next step in constructing a perpendicular bisector?

A. Draw an arc above and below the line.

B. Draw an arc on both ends of the line segment.

C. Place the compass point on the other end of the segment.

D. Set the compass width to approximately ½ the length of the segment.

29. Select ALL that apply to the following questions.

(a)If the sin x is approximately 0.2588, what is the measurement of x to the nearest degree?

0.005 100

(b) Approximately, what is the cosine of the angle that is complementary to x?

0.25880.26790.3.73210.9659

______30. What is the degree of rotational symmetry for a regular decagon?

A. B. C. D.

31. Find the measure of to the nearest degree.

m=______

______32. The objects in the diagram best resemble what geometric solid?

A. cone B. cylinder C. prism D. sphere

33. The length of the hypotenuse of an isosceles, right triangle is . How many degrees are in

each angle? What is the length of each leg?

Angle measures are:______

The length of each leg:______

34. Leah has two congruent beach balls. The diameter of one ball is inches. What is the volume of the

second ball rounded to the nearest whole number?

Volume of the second ball = ______

______35. Triangle was dilated by . If , what is ?

1. 3

1. 6

1. 12

1. 15

______36.Angles and are the two acute angles in a right triangle.

Use the relationship between sine and cosine to find the value of if .

A.

B.

C.

D.

______37.Find the scale factor of the line segment dilation.

: endpoints and to : endpoints and , centered at

A.

B.

C.

D.

______38.Which trig expression is equal to ?

A. B.

C. D.

______39. Which of these is equal to ?

A. B.

C. D.

______40. Describe the transformations that will map triangle A to triangle B and illustrate the congruency

between the two triangles.

A. reflect triangle A across the y-axis and then

translate triangle A units down

B. reflect triangle A across the x-axis and then

reflect triangle A across the y-axis

C. translate triangle A units down and then

rotate triangle A counterclockwise

about the origin

D. reflect triangle A across the x-axis and then

rotate triangle A counterclockwise about

the origin

41. What type of quadrilateral is ABCD? Select ALL that apply.

Rhombus Trapezoid

Isosceles TrapezoidKite

Parallelogram Rectangle

______42.Kelly is using a pattern to cut rectangles from a large sheet of wrapping paper. Each rectangle has the same width. The table below shows the relationship between the length, width, and area of these wrapping paper rectangles.

Which expression can be used to find the area of a wrapping paper rectangle with a in. width and length ?

A.

B.

C.

D.

43. The steps for constructing the center of a given circle are shown. Label the images using numbers 1 – 4

in the correct order.

44. Find the length of the arc given the radius of 9 feet and angle = . Round your answer to the nearest tenth.

______

______45. Sara has a prism and pyramid with the same dimensions of the base and height. She wants to fill the prism with sand to the top using the pyramid. How many times would she have to fill the pyramid and dump into the prism to fill the prism to the top?

1. 2B. ½ C. 3D. 1/3

______46.To the nearest tenth what is the hypotenuse of an isosceles right triangle with a leg of

A. 15.7 inches B. 16.2 inches C. 17.1 inches D. 18.5 inches

______47. Which two lines from the equations below are perpendicular?

A: 3x + y = 6B: 6x – 2y = 4C: y = 3x – 2 D: y = x + 7

1. A and BB. B and CC. A and DD. C and D

______48. The length of a side of a cube is increased by a factor of 6. What is the effect on the volume

of the cube?

A) The volume is increased by a factor of 36 B) The volume increases by a factor of 64

C) The volume increases by a factor of 24 D) The volume increases by a factor of 216

______49. Suppose we wish to construct a line segment at point A which is perpendicular to

segment BC. A correct 1st step would be to

A) place the compass at point A B) place the compass at point B

C) place the compass at point C D) place the compass at point D

______50. Given the points (-3, 2) and (1, 2) are the vertices of a rectangle, what two sets of coordinates could form the other two vertices?

1. (-3, 5) and (2, 5)B. (-3, 5) and (1, 5)

C. (1, 5) and (2, 5) D. (-3, 5) and (-1, 5)

51. Given , determine the measure of angle C.

______

______52. George’s playground is shown in the diagram. He wants to buy timber to put all around so that mulch doesn’t spread. How much does he need?

1. 42 feetB. 84 feetC. 216 feetD. 432 feet

53. Select ALL of the equations that represent an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (10, -5)

y = ½ x – 5 2x + y = 15x – 2y = 20

3x = 6y + 60y = -2x + 15y = ½x – 10

______54. What radius of a circle is required to inscribe an equilateral triangle with an area of

270.633 cm2 and an altitude of 21.65 cm?

A. 10.8 cm B. 14.4 cm C. 15.4 cm D. 16.4 cm

______55. is formed inside a circle by two intersecting chords. If minor arc BD = 82 and minor arc CA = 176, what is the measure of

1. 41 B. 47C. 51D. 88

56. Write the equation of the perpendicular bisector of .

______

57. Line SU bisects angle RST. Which statements are true? Select ALL that apply.

______58. Which composition of transformations can be used to show that figure 1 is congruent to figure 3?

______59. Solve for the area of triangle ABC to the nearest whole number.

A. 13 cm2B. 26 cm2C. 53 cm2D. 106 cm2

60. Find the volume of the figure.

______

______61. For If undergoes a dilation by a scale factor of 1/3 to create with , which confirms that by the AA criterion?

1. = 50 and

1. = 30 and

1. = 10 and

1. = 65 and

______62. In order to circumscribe a circle on a triangle, which line must you construct?

1. MedianB. AltitudeC. DiagonalD. Perpendicular Bisector

63. Place an X in ALL of the spaces that would complete the table.

64. Name 3 types of RIGID MOTIONS.

______

65. Find the value of x.

______