Chapter 10 Test. Comprehensive Test page 1

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1 omprehensive est page 1 1. Which statement is true in Euclidean geometry? A he Point-Line-Plane Postulate is assumed true. B Every line contains an infinite number of points. hrough a point not on a line, there is exactly one line parallel to the given line. All of the above statements are true in Euclidean geometry. 2. Lisa is a flight attendant. She drew the network below to represent the flights she services. One week, Lisa serviced all nine flights without repeating any. What could have been her first flight? Abbreviation Airport AL Atlanta, GA A Washington,../National FW allas/fort Worth, X JFK New York, NY/Kennedy LAX Los Angeles, A OR hicago, IL/O Hare A Washington,.. to allas B Los Angeles to Atlanta New York to hicago allas to Atlanta 3. Which of the following 10 y is the equation for the line at the right? A y = x - 2 B y = 2x - 2 y = 2x - 2 y = 2x LAX 5 5 OR FW x A JFK AL Which of the following is the correct way to read the statement p q? A If p, then q. B If q, then p. p if and only if q. p and/or q Geometry 147

2 omprehensive est page 2 5. onsider this conditional: If a quadrilateral is a parallelogram, then it is also a rectangle. he figure at the right is A an instance of the conditional. B a counterexample to the conditional. neither an instance of nor a counterexample to the conditional. none of the above. 6. When Bill and Gabby got married, each had children from previous marriages. Bill had Bonnie, Betty, and Bud, while Gabby had Greg and Genevieve. Later, Bill and Gabby had ameryn and Jack together. Which children are in the intersection of Bill s biological children and Gabby s biological children? A Greg, Genevieve, Betty, and Bud B ameryn and Jack Greg, Genevieve, Betty, Bud, ameryn, and Jack Genevieve, ameryn, and Betty In the figure at the right, F bisects E. Find m E. A 18 B F (3a) (a + 54) 8. In the figure at the right, it is given p m that m n. What statement would 2 3 n justify the conclusion that 2 6? A If two parallel lines are cut by a transversal, then alternate interior angles are congruent. B If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. 9. Which of the following is involved in the construction of Voronoi diagrams? A angle bisectors B parallel lines perpendicular bisectors All of the above are involved. E Geometry

3 omprehensive est page In the figure at the right, r w (A) =. w Which of the following is true? A A AX = X B w is the perpendicular bisector of A X r w () = A All of the above are true. 11. In the diagram at the right, what type of isometry maps Figure I onto Figure II? A translation B rotation reflection glide reflection figure I figure II 12. Which of the following is the image of ( 5, 4) under a translation by the vector 2, 1? A ( 7, 5) B ( 3, 3) (3, 3) ( 3, 5) 13. If ABE ZYWXV, which is a true statement? A E VX B A = XZ W All of these statements are true. 14. Refer to the figure at the right. Find m B. A (x + 4)º B (121 + x)º (113 - x)º 63º A (x + 4) 15. Refer to the diagram and proof below. Which of the following is the justification for Step 3 of the proof? 117 B Given r j (P) = P Prove P P onclusions Justifi cations 1. r j (P) = P r j () = r j ( P ) = P P P 4. A efinition of congruent figures B Flip-Flop heorem Figure Reflection heorem efinition of reflection P P' j Geometry 149

4 omprehensive est page Quadrilateral KIE at the right is a kite with ends K and. K If m EK = 40, find m KI. A 50 B cannot be determined E 17. In AB, m A = 6x - 7, m B = 5x + 8, and m = 3x List the sides in order from shortest to longest. A A, B B B, A B, A A, B, AB 18. he figure at the right is the top view of a vegetable tray. Which of the following best describes its symmetry? A no lines of symmetry; 20º rotational symmetry B 5 lines of symmetry, 50º rotational symmetry 5 lines of symmetry, 72º rotational symmetry 10 lines of symmetry, 36º rotational symmetry 19. Which of the following is not a property of all kites? A here are two pairs of congruent sides. B Both pairs of opposite angles are congruent. he sum of the measures of the interior angles is 360º. he diagonals are perpendicular. 20. onsider the figure at the right. What given information would be sufficient to prove PSR PQ by the ASA ongruence heorem? A P P, P B PR PQ, P P, SQ R P, PSR PQ 21. an claims that since the two sides of his ladder have the same length and meet at a hinge at the top, they must always make the same angle with the ground. What theorem supports an s claim? A Isosceles riangle Base Angles heorem B SAS ongruence heorem PF heorem Angle ongruence heorem Q S P I R Geometry

5 omprehensive est page What is the perimeter of a regular decagon in which one side has length 1 2 g? A 10g B 5g g 1 2 g 23. What classification could be given to a triangle with sides measuring 9, 12, and 16? A acute B obtuse right cannot be determined 24. Lucille bought placemats for a dinner party and is trying to organize her table space. Each placemat is the union of a 10 inch 10 inch square and two semicircles, as shown below. How much area does each placemat cover? A ( π) in 2 B ( π) in 2 10 in. ( π) in 2 125π in Which of the following is not a correct view of the solid figure at the right? A B top back left front left right 26. Jolene put a poster for her friend in a cylindrical mailing tube and wants to cover the lateral surface of the tube with wrapping paper. he mailing tube is 28 inches long and has a diameter of 3 inches. What are the dimensions of the smallest piece of wrapping paper that will cover the lateral surface? A 3 in. by 28 in. B 6 in. by 28 in. 1.5π in. by 28 in. 3π in. by 28 in. 27. A cylinder has a volume of 432π and a height of 12. What is the radius of the base? A 18 B An aquarium is a rectangular prism that measures 20 inches by 12 inches by 14 inches. About how many gallons of water does it hold? (1 gallon = 231 cubic inches) A 6.5 B Geometry 151