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MATH Geometry Curriculum Based Assessment (CBA) #3 1 Look at the figures below. Which of the following general conjectures is supported by these figures? A If the diagonals of a quadrilateral are perpendicular, and only one bisects the other, then the quadrilateral is a kite. B If the diagonals of a quadrilateral are perpendicular, then the quadrilateral is not a parallelogram. C If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a square. D If the diagonals of a quadrilateral bisect each other, then the quadrilateral is not a parallelogram. 2 The table below illustrates a relationship between the number of sides in any given polygon and the sum of the angle measures of that polygon. Number of Sides Sum of Angle Measures 3 180 4 360 5 540 6 720 n Which of the following best expresses this relationship? F 90n G 60n H 180n J 180(n-2) 3 4 The sum of the exterior angles of any given polygon is always equal to – A 90 B 180 C 360 D 540 Concrete workers are busy preparing to pour a rectangular patio on the rear of Miguel's new house. The workers have laid out, using boards, what appears to be a rectangle to frame where the cement will go. What could the workers do to ensure the patio is really rectangular before pouring the cement? F Determine if the opposite sides are congruent G Determine if the diagonals are congruent. H Determine if the diagonals are perpendicular. J 5 None of the above A person standing on level ground is 2,000 feet away from the foot of a 420-foot-tall building, as shown in the accompanying diagram. To the nearest whole degree, what is the value of x? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 6 In the accompanying diagram of right triangle ABC, AB = 8 cm, BC = 15 cm, AC = 17 cm, and m∠ABC = 90°. What is tan ∠C? F G H J 7 In the accompanying diagram, ABCD is a trapezoid with altitudes DW and CZ. Side CD measures 17.3 inches, DA measures 8.6 inches, m∠A = 68°, and m∠B = 53°. What is the perimeter, to the nearest tenth of an inch, of trapezoid ABCD? A 57.63 B 62.4 C 64.7 D 65.7 8 In the right triangle below, the length of What is the length of F G H J ? is 30. 9 A baseball diamond is a square with a length of 90 feet on each side. If the shortstop fields a ball and throws to first from a point exactly halfway between second base and third base, what is the length of the throw? A 90 feet B 100.6 feet C 112.5 feet D 135 feet 10 Muriel plans to make a sail in the shape of a right triangle for her boat. She wants the largest part of the sail to make a 60-degree angle with the horizontal. How many square meters of material will she need to make the sail? F G 7.29 H J 14.75