NAME DATE PER. GEOMETRY SPRING SEMESTER REVIEW Find the indicated value in each of the following. Find the exact value of x and y.

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1 NAME DATE PER. GEOMETRY SPRING SEMESTER REVIEW Find the indicated value in each of the following. Keye 1. = Find the eact value of. SPRING FINAL REVIEW = Find the eact value of = 7 y = Find the eact value of and y. y = y = = y = Find the eact value of and y. Find the eact value of and y. ξ3 y y A = Find the approimate length of A. Round your answer to the nearest hundredth. A C y = Find the approimate value of y. Round your answer to the nearest hundredth 2 50 y θ = Find theta in degrees. Round your answer to the nearest hundredth. A θ C

2 θ = Find theta in degrees. Round your answer to the nearest hundredth θ = y = Find the eact length of y. 1 y = Find the eact length of y = Find the eact length of y. y 1 T 13. C = l tell A = In a given circle, the diameter is cm. Find the eact circumference and area of the circle Area = Find the approimate area of the white region. Round your answer to the nearest hundredth. cm O it 15. Area = Find the eact area of the shaded region.

3 12 1. XZ = ZY is tangent to circle X. YXZ = 0, YZ = Y XZ. Z 3. Find the length of X 17. P = Find the perimeter of the quadrilateral myz = Given that XZ is a diameter, find YZ. ( +21) X P Y Z (3 + 0) A = If r = cm, find the eact length of A. A 135 O A = If r = cm, find the eact area of sector A. A 135 O H X GH = If d = 1 cm, find the approimate length of GKH. Round your answer to the nearest hundredth. G K 5 O H A = If d = 1 cm, find the approimate area of sector GKH. G Round your answer to the nearest hundredth. K 5 O H

4 23. n = A circle with a radius of 3 cm has an arc length of cm. Find the measure of the arc in degrees and radians. D 2. n = A circle with a radius of 2 cm has a sector area of 25 cm 2. Find the measure of the arc in degrees and radians. o 300 II rad 22.5 o girad m 1 = Find the measure of = Find the value of. (2 + 7) (3 + 3) m 1 = Find the measure of m 1 = Find the measure of m 1 = Find the measure of m 1 = Find the measure of

5 = Find the value of = Find the value of I 5, = Find the value of = Find the value of. in. in Write the equation of a circle centered at the origin with a radius of y Write the equation of a circle centered at (3, -5) with a radius of Write the equation of a circle with a radius of and a point on the circle at (-2, 7) Write the equation of a circle with diameter endpoints (-2, 7) and (, 9). X 2 t ly Write the equation of the circle in standard form: 2 + y + y = 0 Xt1 I ly t3 2 2

6 A = Find the approimate area of the rectangle. Round your answer to the nearest hundredth. 2 cm 10 cm A = Find the eact area of the square: in A = Find the eact area of the polygon: 10 m A = The diagonals of a rhombus are cm and 10 cm long. Find the area of the rhombus A = Find the area of a trapezoid that is 10 in tall, and has bases of in and 12 in A = Find the eact area of the regular polygon with the given side length. 12 ft A = Find the approimate area of a regular pentagon with a side length = 12 m. Round your answer to the nearest hundredth.

7 SA = 9 V = 5. SA = 2 Find the surface area and volume of a cube with a base edge of 3 cm. 27 V= SA = 10 V= Find the surface area and volume of the right triangular prism SA = 053 V= Find the surface area and volume of the triangular prism T SA = 3553 V= Find the surface area and volume of a regular heagonal prism that has a base edge of 12 cm and a height 1 cm SA = 3 V= Find the Surface Area and Volume of the square pyramid. yd 12 yd 12 yd 22 IT 53. SA = 3921T V = Find the surface area and volume of the right cone. 25 m 7 m

8 21T 5. SA = 31T V = Find the surface area and volume of the cylinder. 3 cm cm r r = The volume of a right circular cone is 72 cubic centimeters, and its height is 2 cm. Find the length of the radius. 1T 5. V = Calculate the eact volume of the figure rotated around the -ais. 201T 57. V = Calculate the eact volume of the figure rotated around the y-ais. t.ee E 571T 5. SA = 2301T V = 19.3IT 0. Find the surface area and volume of a sphere with diameter = 2 m. 59. SA = The Volume of one cylinder = 900π and the Volume of a similar cylinder = 27π. If the Surface area of the larger cylinder = 200π, what is the surface area of the smaller cylinder?

9 0. SA willl be 1 V will be 1. SA will be The dimensions of a prism are quadrupled. What effect will this have on the surface area? The volume? The radius of a sphere is divided by 3. What effect will this have on the surface area? The volume? V will be Draw the crosssections as their two-dimensional shapes. Ea FER Rea KI HEA a Calculate the probabilty that Joe will land a dart on the shaded region of the dartboard. Round your answer to the nearest hundredth For two independent events, P(A) = 0.3 and P() = 0.9. What is P(A )? NO. PCRoPlQ PIRAQ Let R represent the students are Hogwarts that are in the Ravenclass house and Q reprsent the students who are on the quidditch team. 51. What is the probability that a Ravenclass plays quidditch? meaning plqlr 52. Are these events independent? Eplain

10 0.77 O The table represents some of the results of a survey of eleventh graders and twelfth graders about their preference for themes for the winter dance. Fire and Ice Eleventh Graders Roaring Twenties Twelfth Graders 75 1 Total What is the probability that an eleventh grader likes the Fire and Ice Theme? 5. What is the probability that a student likes the Fire and Ice Theme? 55. What is the probability that a student likes the roaring twnenties or is a twelfth grader? 70. How many distinct ways can students line up for a photo? 17,100, How many ways can you arrange 5 students from a class of 30? 125, How many different ways can you choose a team of kids out of 20? 5, There are 7 singers competing at a talent show. In how many different ways can the singers appear? There are 7 singers competing at a talent show. In how many different ways can the singers win first, second, and third place? 75. P(D M) = 7. P(D M) = 77. P(D M) C = 7. P(D) C = 79. P(M) C = I 5 9 I p g 3 NO TO 5 PID P M PLDAM I Some of the 20 students on a prom committee are working on decorations, and some are working on music selections. Let D be the set of students working on decorations, and let M be the set of students working on music selections.

11 Unit :Similarity Practice *This is part of your review- must complete for the etra points* Yes bysss 1. sac ADEC Are the triangles similar? If so, Write a similarity statement and state the theorem or postulate that proves their similarity. If not, eplain why not. A 2 20 C 15 1 E D Yes byaa 2. ATRs SURV Are the triangles similar? If so, Write a similarity statement and state the theorem or postulate that proves their similarity. If not, eplain why not. T S U V R NOjtheSs don't 3. haveproportionalsides Are the triangles similar? If so, Write a similarity statement and state the theorem or postulate that proves their similarity. If not, eplain why not. L K 5 M N P. Yesby SAS DIEFNSHEG Are the triangles similar? If so, Write a similarity statement and state the theorem or postulate that proves their similarity. If not, eplain why not. G H 3 I E 5. Nonotenough info Are the triangles similar? If so, Write a similarity statement and state the theorem or postulate that proves their similarity. If not, eplain why not. A E V M 2 5. = Solve for, k = Solve for k. k 2k

12 . = Solve for p = Solve for p p statementsreasonst l GI HT 1 given i 2 IHJEIGk 2 corresponding thorn 3 3 refleive prop SGIKNSHIJ AHN postulate There aremultiple correct ways to provethese statements not 2 Reasons 1 fo Img 1 given 2 GNOMELQoP 2 vertical thon 3 smno sp.io 3 sas thm 12. a There aremultiplecorrect ways to provethisk statements Reasons i MOI OP 1 given 2 QMNEQOPN2 alt.int than 3 µµa p 3 ve o nrmc smqnns0pn AHN postulate

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