13:33 35) Which of the following would be enough information to prove that quadrilateral QRST is a parallelogram? a) OR = ST c) OP =PS and TP = PR - - b) OR IST d) Two pairs of sides are congruent. 36) What is the converse and the truth value of the converse of the following conditional statement? a) If an angle is a right angle, then its measure is 90". 6) If an angle is NOT a right angle, then its measure is 90. False c) If an angle is NOT a right angle, then its measure is NOT 90. True d) If an angle has a measure of 90, then it is a right angle. False e) If an angle has a measure of 90%, then it is a right angle. True 37) In the figure below, NP is the altitude drawn to the hypotenuse of AMNO. 15 If NP = 9 and MP = 15, what is the length of OP? a) 7.2 6) 6.2 c) 5.4 d) 4.813:31 11) What is the sum of the measures of the interior angles of a 14-sided polygon? a) 1,980 6) 2160 C) 2520 d) 2880 12) What is the midpoint of PQ? 64-2 24 6 8 -2 do a ) (2, 0) b) (2, 1) c) (1, 1) d) (1, 0)13:32 24) Find the volume of the figure below. Round to the nearest square centimeter. 25 cm 15 cm a) 576 cm b) 785 cm c) 1440 car d) 1963 cm 25) A plane is flying at an altitude of 12,000 feet and is preparing to land at a nearby airport. The angle from the airport to the plane is 17. 12,000 ft 170airport Note: Figure not drawn to scale. To the nearest tenth of a foot, how far is the airport from the plane? a) 3,668.8 feet b) 12,548.3 feet C) 39,250.2 feet d) 41,043.6 feet 26) Quadrilateral RSTU has vertices R(-6, -3), S(3, 3), and 7(4, -1). What are the coordinates of vertex Uif RSTU is a parallelogram? a) (-5, -6) b) (-6, -7) c) (-5, -7) d) (-6, -8)13:32 27) In this drawing, line p is parallel to line j and line t is perpendicular to ray AB. What is the measure of /BAC? a) 370 6) 530 () 90 d) 1270 28) Find the surface area of the prism below. 6 29) What is the approximate value of x in the diagram below? 18 cm a) 7.6 centimeters 6) 16.3 centimeters c) 8.4 centimeters d) 19.9 centimeters13:30 7) Lina is covering a wall in her attic with wallpaper. The wall is trapezoid-shaped with top and bottom bases of 14 feet and 20 feet. The height of the wall is 8 feet. How much wallpaper will she need to cover the wall? 14 feet 18 feet 20 feet a) 24 square feet b) 48 square feet c) 136 square feet d) 272 square feet 8) You are reducing a map of dimensions 2 feet by 3 feet to fit to a piece of paper 8 inches by 10 inches. What are the dimensions of the largest possible map that can fit on the page? 62/3 inches by 10 inches 8 inches by 6 2/3 inches 5 1/3 inches by 10 inches e 8 inches by 10 inches 9) A bell tower is 17 meters tall, It casts a long shadow on the ground below. The tip of the shadow of the bell tower is 51 meters from the base of the bell tower. At the same time, a tall elm tree casts a shadow that is 63 meters long. If the right triangle formed by the tower and its shadow is similar to the right triangle formed by the elm and its shadow, how tall is the elm to the nearest tenth? a) 13.8 meters b) 189 meters c) 21 meters d) 3.7 meters 10) Rebecca is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep. 19 ft 10 ft 10 ft What is the maximum number of supply boxes can she pack in this crate? a) 200 b) 300 () 450 d) 60013:32 33) Carlos constructed 3 parallel lines as part of an art project. He also drew a line passing through each of the parallel lines. Some of the angles formed by the intersection of line t and lines 1, m, and n are numbered in the diagram below. Which conjecture can Carlos make about the angles formed by line ( and lines I, m, and n? a) Angles 1, 2, and 3 are congruent. b) Angles 1, 3, and 5 are congruent c) Angles 2 and 4 are supplementary. d) Angles 1 and 5 are supplementary. 34) What is the translation image of the triangle shown after a translation with the rule (x, y) + (x-3,y + 3)?13:31 21) In A XYZ, what is the cosine ratio of LX? 7.5 d) 12 22) If ADNP = AHKF, which of the following is NOT true? a) NP = KF C) LD= ZH b) DP = HF d) LP= /K 23) To the nearest square inch, how much paper is needed to make the drinking cup below? - Bin. - a) 38 square inches c) 7 square inches 6) 19 square inches d) 24 square inches13:30 4) In the proof below, what is the missing reason? Given: ABCD is a kite Prove: LB = LD Statement Reason 1. AB = AD and BC = CD 1. Definition of Kite 2. AC = AC 2. Reflexive Property of equality 3. AABC =AADC 3. SSS 4. ZB= LD 4. ? SAS SSS CPCTC AAS 5) How do you write the inverse of the conditional statement below? "If m 21 = 600, then 21 is acute." a) Ifm 21 =60%, then 21 is not acute. b) If 41 is not acute, then m 41 # 60. c) If 41 is acute, then in 21 = 60. d) If m 21#60%, then 41 is not acute. 6) What is the contrapositive of the statement below? "If today is Friday, then tomorrow is Saturday." a) If tomorrow is not Saturday, then today is not Friday. 6) If today is Saturday, then tomorrow is not Friday. c) If tomorrow is Saturday, then today is Friday. d) If today is not Friday, then tomorrow is not Saturday.13:31 18) At a certain time, a vertical pole 10 feet tall casts a 14-foot shadow. What is the angle of elevation of the sun to the nearest degree? 14 b) 44' () 460 d) 54 19) To the nearest tenth, what is the length, in units, of MN? 2+ -2 1 4 6 8 1 -2+ M a) 6.0 6) 6.7 c) 9.0 d) 9.1 20) Michael used a compass and a ruler to construct two parallel lines and a transversal. Which of the following statements is a conjecture that Michael can make about the angles formed by the parallel lines and the transversal? a) Pairs of same side interior angles are supplementary. b) Pairs of alternate interior angles are supplementary. c) Pairs of alternate exterior angles are supplementary. d) Pairs of corresponding angles are supplementary.13:32 30) What is In 21? a) 1140 b) 1040 ( ) 760 8) 660 31) What is the correct order of the ample measures of the triangle from smallest to largest? 45 43 6.5 a) LB, LC, LA b) LB, LA, LC C) LA, LB, ZC d) LA, LC, LB 32) Which of the following correctly shows the number of faces, edges, and vertices of the triangular prism below? H a) 5 faces, 6 edges, 9 vertices b) 5 faces, 9 edges, 6 vertices c) 6 faces, 9 edges, 5 vertices d) 6 faces, 10 edges, 6 vertices13:31 13) Lines s and t are parallel and r is a transversal. 518 Which angles are congruent to 24? a) 42, 25, 48 b) 43, 25, 47 () 42, 26,48 d) 23, 27, 48 14) What is the y-coordinate of the midpoint of WU? .U -4 -2 x OV -4+W a) -2.5 b) -1.5 C) -0.5 d) 1.5 15) How many vertices does the polyhedron below have?\f13:30 Directions: Complete each problem below. Geometry Final Assessment Identify the choice that best completes the statement or answers the question. 1) Choose a conditional statement from the following statement: a) A horse has 4legs. b) If it has 4 legs, then it is a horse. c Every horse has 4 legs. e If it is a horse, then it has 4 legs. e) It has 4 legs and it is a horse. 2) What other information is needed in order to prove the triangles congruent using the SAS Congruence Postulate? BCD a) ZBAC= LDAC b) ABAD C) ACIBD d) AC = BD 3) Assume all angles are right angles. What is the area of the figure? 12 m 8m 10 m 16 m 12 m 12 m a) 1536 square meters 6) 408 square meters c) 360 square meters d) 102 square meters13:31 15) How many vertices does the polyhedron below have? a) 8 6) 10 c) 12 d) 20 16) A community is building a square park with sides that measure 120 meters. To separate the picnic area from the play area, the park is split by a diagonal line from opposite comers, Determine the approximate length of the diagonal line that splits the square. If necessary, round your answer to the nearest meter. Picnic area 120 m Play area 120 m a) 28,800 meters 6) 170 meters c) 240 meters d) 120 meters 17) Three angles of quadrilateral ABCD have measures 669, 950, and 114. What is the value of x? 950 1149 a) 850 6) 950 () 1610 d) 2750