GEOMETRY FINAL EXAM REVIEW- Semester 2

Name: Class: Date:ID: RGEOMETRY FINAL EXAM REVIEW- Semester 21. Find the value of x.State which theorem you can use to show thatthe quadrilateral is a parallelogram.3.a.b.c.d.Parallelogram Opposite Sides ConverseParallelogram Opposite Angles ConverseOpposite Sides Parallel and CongruentTheoremParallelogram Diagonals Converse4. A parallelogram is formed by the supports thatattach a basketball backboard and rim to the wall.The angles change as the basketball apparatus istaken out and put away. Find m ADC whenm DAB 77 .2. Find the sum of the measures of the interior anglesof the given figure.1

ID: R5. Find the value of x that makes the quadrilateral aparallelogram when AE 2x 36 andCE 6x 28.8. The end of a charger that is plugged into a phone isan isosceles trapezoid. Find m J , m K , and m Mwhen m N 141 .Classify the special quadrilateral.6.9. Decide whether quadrilateral ABCD with verticesA ÁÊË 3,1 ˆ , B ÁÊË 1, 1 ˆ , C ÁÊË 1,3 ˆ , and D ÁÊË 5,5 ˆ is arectangle, rhombus, square, or parallelogram.a.b.c.rhombusrectanglesquare7. Find AB.a.b.c.d.2parallelogramrhombusrectanglesquare

ID: R10. In the diagram,x.YIM 12. The triangles are similar. Find the value of x.DRF . Find the value of.11. Two trees are growing in a clearing. The first treeis 18 feet tall and casts a 8 foot shadow. Thesecond tree casts a 18 foot shadow. How tall is thesecond tree to the nearest tenth of a foot?13. What is the length of AF ?.3

ID: R14. A castle guard is standing on the opposite side of a 9-foot moat and wants to reach a window that is 12 feet above the ground. The guardprops a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window tothe nearest tenth of a foot.15. Determine whether segments with lengths of 28, 12, and 2217. In the diagram, AC 4 2 . Find AB. Write your answer inform a triangle. If so, classify the triangle as acute, right, orobtuse.simplest form.16. A parasailer is attached to a boat with a rope. Whileparasailing, the angle of depression to the boat is 15 . Whenthe parasailer is 80 feet above the boat, how long is the rope?Round your answer to the nearest tenth of a foot.4

ID: R18. In the diagram, BC 12. Find AB and AC . Writeyour answers in simplest form.Solve the triangle. Round decimal answers tothe nearest tenth.19.Match the value of x below with one of the diagrams. Use each diagram only once.a.c.b.d.(points B and D are points of tangency)20. x 522. x 721. x 623. x 175

ID: RMatch the statement below with the diagram it describes. Use each diagram only once.a.d.b.e.c.24. The measure of a central angle is 115 .29. Write the standard equation of the circle shownbelow.25. mACB 180 26. mAB 90 27. mACB 290 28. AB CD6

ID: R30. Convert7πradians into degrees.20Find the volume of the pyramid.34.31. A Ferris wheel is 500 feet in diameter. How farwill a person riding on the Ferris wheel havetraveled (in miles) when the wheel makes 66revolutions? (1 mi 5280 ft).35. A snowball has a diameter of 5 centimeters. Whatis the volume?32. Convert 69 to radians.33. Find the area of the kite.7

ID: R39. A bowling team roster has 7 players on it. Howmany groups of 4 players can be created?36. A card is chosen at random from a deck of 48cards, 6 red, 22 black, 12 blue, and 8 green. Then,the card is returned to the deck and a new card ischosen. The table below shows the results ofchoosing 44 cards. For which color of card is theexperimental probability the same as the 711740.37. You spin a spinner with 8 equal spaces numbered 1through 8. What is the probability that the spinnerlands on a 1 or an 8?.38. Count the possible combinations of 3 numberschosen from the list {12, 13, 14, 15, 16}.8In how many ways can you arrange 5 of thenumerals 1 through 7?

ID: RGEOMETRY FINAL EXAM REVIEW- Semester 2Answer Section1. ANS:106REF: Geometry Sec. 7.12. ANS:900 REF: Geometry Sec. 7.13. ANS: DREF: Geometry Sec. 7.34. ANS:103 REF: Geometry Sec. 7.25. ANS:x 2REF: Geometry Sec. 7.36. ANS: CREF: Geometry Sec. 7.47. ANS:28REF: Geometry Sec. 7.58. ANS:m M 141 , m K 39 , and m J 39 REF: Geometry Sec. 7.59. ANS: A, BREF: Geometry Sec. 7.410. ANS:60REF: Geometry Sec. 8.111. ANS:40.5 ftREF: Geometry Sec. 8.212. ANS:63REF: Geometry Sec. 8.113. ANS:22REF: Geometry Sec. 8.41

ID: R14. ANS:15.0 ftREF: Geometry Sec. 9.115. ANS:obtuse triangleREF: Geometry Sec. 9.116. ANS:about 309.1 ftREF: Geometry Sec. 9.517. ANS:AB 8REF: Geometry Sec. 9.218. ANS:AB 24, AC 12 3REF: Geometry Sec. 9.219. ANS:m H 76 , y 44.1, c ANS:ANS:ANS:ANS:ANS:ANS:ANS:Geometry Sec. ometry Sec. 10.1Geometry Sec. 10.1Geometry Sec. 10.1Geometry Sec. 10.1Geometry Sec. 10.2Geometry Sec. 10.2Geometry Sec. 10.2Geometry Sec. 10.2Geometry Sec. 10.222(x 5) ÁÊË y 3 ˆ 16REF: Geometry Sec. 10.730. ANS:63 REF: Geometry Sec. 11.131. ANS:about 19.63 miREF: Geometry Sec. 11.12

ID: R32. ANS:23πrad60REF: Geometry Sec. 11.133. ANS:72 cm2REF: Geometry Sec. 11.334. ANS:100 cm3REF: Geometry Sec. 11.635. ANS:about 65.45 cm3REF: Geometry Sec. 11.836. ANS:blueREF: Geometry Sec. 12.137. ANS:14REF: Geometry Sec. 12.438. ANS:10REF: Geometry Sec. 12.539. ANS:35REF: Geometry Sec. 12.540. ANS:2520REF: Geometry Sec. 12.53

GEOMETRY FINAL EXAM REVIEW- Semester 2 1. Find the value of x. 2. Find the sum of the measures of the interior angles of the given figure. State which theorem you can use to show that the quadrilateral is a parallelogram. 3. a. Parallelogram Opposite Sides Converse b. Parallelogram Op