Name ______________________________________________ Date _________________________

TNReady Review

______ 1. What is the arc length of an angle of π3 radians formed on the unit circle?

A.π6 B.

π4 C.

π3 D.

π2

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

y = −54x+6 y =

45x−2 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.

A. 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.

B. 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.

C. 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.

D. 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 ∠G.

A. 10° B. 54° C. 71° D. 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?

A. 17671.5 ft2 B. 8835.7 ft2

B. 70685.8 ft2 D. 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 = 52x+16, ∠B =

72x+20, ∠C =

32x+68, ∠D =

32x+40. Place your answer in the

space provided.

m∠D = ____________________

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 23π, what is the measure of

∠RST?

A. 20° B. 30° C. 40° D. 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.

m∠ A=100−xm∠B=80+xm∠C=110−3 xm∠D=75+2 x

A. x=5 B. x=7 C. x=10 D. x=152

______ 15. Determine the measure of DF . ∆ ABC ≅∆≝.

A. 3 cm B. 4 cm C. 5 cm D. 6 cm

______ 16. The portion of the sailboat outlined in this photo closely resembles a(n)

A. acute triangle B. right triangle

C. obtuse triangle D. isosceles triangle

17. L is a point of tangency. Segments PL and PN have a common point at P. Find the length of KN

PL=10PK=8

___________________

______ 18. If square HIJK is dilated by a scale factor of 13 with a dilation center of (0 ,0), what will be the

coordinates of point K ' ?

A. (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 size The 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)?

A. 16.283 B. 22.566 C. 24.283 D. 30.566

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?

A. 200 miles B. 210 miles C. 220 miles D. 230 miles

______ 23. If m∠ A=87 ° and m∠B=32°, find m∠1.

A. 29° B. 61° C. 83° D. 119°

______ 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: ∆ ABC , DE∥ AC Prove: ∠ A+∠B+∠C=180

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

C. Supplementary angles sum up to 180 ° D. Complementary angles sum up to 180 °

_____ 27. A sphere has a radius of 6 inches and a surface area of 144 π ¿2. 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?

15 ° 0.005° 75 ° 100°

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

0.2588 0.2679 0.3.7321 0.9659______ 30. What is the degree of rotational symmetry for a regular decagon?

A. 30 ° B. 36 ° C. 45 ° D. 60 °

31. Find the measure of ∠C to the nearest degree.

m∠C=__________________

______ 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 12√6. 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 20 inches. What is the volume of the

second ball rounded to the nearest whole number?

Volume of the second ball = __________________________ 35. Triangle ABC was dilated by 50%. If AC=6, what is A ' C '?

A. 3

B. 6

C. 12

D. 15

______ 36. Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β if β>α .

A. 25 °

B. 28.5 °

C. 61.5 °

D. 65 °

______ 37. Find the scale factor of the line segment dilation.AB: endpoints (−3 ,−2) and (4 ,−2) to A ' B' : endpoints (−6 ,−2) and (8 ,−2), centered at

(0 ,−2)

A. −2

B. −12

C. 2

D. 12

______ 38. Which trig expression is equal to sin(72 °−a)? A. cos18 ° B. sin 18 °

C. cos (90 °−(72 °−a )) D. sin(90 °−(72°−a ))

______ 39. Which of these is equal to cos19 °?A. sin 71° B. sin 81 °

sin( x2+20x )=cos (2 x+ 15 x2 )

C. cos71° D. cos81 °______ 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 5 units down

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

C. translate triangle A 4 units down and then rotate triangle A 180 ° counterclockwise about the origin

D. reflect triangle A across the x-axis and then rotate triangle A 90 ° counterclockwise about the origin

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

Isosceles Trapezoid Kite

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 3 in. width and length p?

A. 3 p

B. 3 p2

C. 36+ p

D. 36+ p2

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

Length (in.) Width (in.) Area (square in.)4 3 126 3 188 3 24

10 3 3012 3 36p 3 ?

44. Find the length of the arc given the radius of 9 feet and angle = 7π4 . 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?

A. 2 B. ½ C. 3 D. 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 = 6 B: 6x – 2y = 4 C: y = 3x – 2 D: y = 13x + 7

A. A and B B. B and C C. A and D D. 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 tosegment 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?

A. (-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 ∆ ABC ≅∆≝¿, 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?

A. 42 feet B. 84 feet C. 216 feet D. 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 = 15 x – 2y = 20

3x = 6y + 60 y = -2x + 15 y = 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. ∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 82° and minor arc CA = 176°, what is the measure of ∠ AED?

A. 41° B. 47° C. 51° D. 88°

56. Write the equation of the perpendicular bisector of CD.

___________________

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

∠RST ≅∠RSU ∠RSU ≅∠UST ∠ SQU ≅∠ SPU PS≅QS______ 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 cm2 B. 26 cm2 C. 53 cm2 D. 106 cm2

60. Find the volume of the figure.

___________________

______ 61. For ∆ ABC ,∠ A=4 x−10 ,∠B=5x+10 ,∧∠C=7x+20. If ∆ ABC undergoes a dilation by a scale factor of 1/3 to create ∆ A ' B ' C ' with ∠ A'=2 x+10 ,∠B'=8 x−20 ,∧∠C'=10 x−10, which confirms that ∆ ABC ∆ A ' B ' C ' by the AA criterion?

A. m∠ A=m∠A ' = 50° and m∠B=m∠B'=85 °

B. m∠ A=m∠A ' = 30° and m∠C=m∠C'=90 °

C. m∠ A=m∠A ' = 10° and m∠C=m∠C'=30°

D. m∠B=m∠B ' = 65° and m∠C=m∠C'=100 °

______ 62. In order to circumscribe a circle on a triangle, which line must you construct?

A. Median B. Altitude C. Diagonal D. Perpendicular Bisector

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

Characteristic Square Rectangle Rhombus Parallelogram IsoscelesTrapezoid

4 congruentangles4 congruentsidesPerpendicular diagonals

Congruentdiagonals2 pairs of opposite sides

congruent

64. Name 3 types of RIGID MOTIONS.

______________________ ______________________ _______________________

65. Find the value of x.

_______________________