Name: GEOMETRY: EXAM (A) A B C D E F G H D E. 1. How many non collinear points determine a plane?

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1 GMTRY: XM () Name: 1. How many non collinear points determine a plane? ) none ) one ) two ) three 2. How many edges does a heagonal prism have? ) 6 ) 12 ) 18 ) 2. Name the intersection of planes Q and S in the figure below. ) R ) 10. If m = 127 and m = 5, then they are: ) complementary angles ) supplementary angles ) vertical angles ) interior angles 11. Given the statement: If it is raining, then I will stay inside. Identify the hypothesis. P Q T R S ) ) ) I will stay inside. ) I will not stay inside. ) It is raining.. What is the distance between (-, -) and (5, -7)? ) None of these. ) 15 ) 17 ) 65 ) Which term below is not one of the three undefined terms? 12. If lies in the interior of G, then mg is equal to: {hint: draw a diagram} ) line ) point ) plane ) ray 6. n eight sided polygon is a (n): ) pentagon ) heagon ) octagon ) decagon 7. Rewrite the statement below in if... then form. ll squares are rectangles. ) m mg ) m + mg c) mg + mg ) mg m 1. oplanar lines which do not intersect are called: ) parallel lines ) skew lines ) acute lines ) obtuse lines ) If a figure is a square, then it is a rectangle. ) If a figure is a rectangle, then it is a square. ) If a figure is not a rectangle, then it is not a square. ) If a figure is not a square, then it is not a rectangle. 8. and are complementary. If m = + 6 and m =, find m. 1. Name a segment congruent to using the number line below. ) G ) ) F ) H F G H ) 90 ) 12 ) 5 ) 6 9. m = and m = 7 5. Find m. 15. State the inverse of the following statement. If is not even, then + 1 is not odd. ) If + 1 is odd, then is even. ) 8 ) 7 ) ) 19 ) If + 1 is not odd, then is not even. ) If is even, then + 1 is odd. ) None of these.

2 16. What is the interior angle sum of a decagon? 22. If m = 7 and m = 18, find m. ) 60 ) 1800 ) 1 ) 10 ) 65 ) 19 ) 5 ) Given. lassify. 2. If bisects, what is the measure of? ) acute ) right ) obtuse ) straight ) 5 ) 5 ) 60 ) point P is picked at random on F. What is the probability that P is on? F G US THIS PITUR FR ) 0 ) 1 5 ) 2 5 ) k 19. The coordinate of is 1 and the coordinate of the midpoint M of is 15. Find the coordinate of hoose the correct name for angles and 5. j ) - ) ) -2 ) 28 ) vertical angles ) alternate eterior angles ) corresponding angles ) alternate interior angles 20. Given the statement: If three lines have a point in common, then they are coplanar. Identify the converse. ) If three lines are not coplanar, then they do not have a point in common. ) If three lines are not coplanar, then they have a point in common. ) If three lines are coplanar, then they have a point in common. ) If three lines are coplanar, then they do not have a point in common. 25. Given k and j are parallel. Find the corresponding angle to 7. ) 1 ) ) 5 ) In isosceles trapezoid PQRS, PS RQ. If mp = then ms =. 21. conve polygon whose sum of the interior angles measure 720 is a (n): ) pentagon ) heagon ) octagon ) decagon ) 180 ) ) 180 ) The legs of a triangle are five inches long. Find the length of the hypotenuse. ) 5 in. ) 10 in. ) 5 2 in. ) 5 in.

3 28. To solve for in below, which equation should be used? 1 10 ) sin 1 = 10 ) cos 1 = 10 ) tan 1 = 10 ) sin 1 = Quadrilateral is a rhombus. If m1 = 5, then m2 =. 1 2 ) 5 ) 5 ) 55 ) is a triangle. If the side opposite the 0 angle is 20, find the length of the side opposite the 60 angle. ) 20 ) 0 2 ) 0 ) is a trapezoid with median F. 5. In parallelogram PQRS, PT = 5 8 and RT = + 2. Find PR. ) 5 ) 10 ) 17 ). If, find. P Q T S R 12 F 2 9 ) = 8 ) = 18 ) = 6 ) = What is the length of? ) 5 ) 7 ) 9 ) What type of triangle is? 5. State the congruence method that can be used to prove the triangles below congruent. ) S ) S ) SSS ) HL Find the volume of a chocolate cake if the height is 6 inches and the diameter is 8 inches. ) 60.2 in ) in ) scalene ) isosceles ) in ) in ) equilateral ) right

4 7. If Y SY, which additional congruent, corresponding parts are needed to prove Y SY by SS? ) Y SY ) S ) S ) Y SY. Given that point is the midpoint of and point is the midpoint of. Find if = 1. ) 7 ) 10 ) 20 ) Find the area of an isosceles trapezoid whose vertices have coordinates (-2, -1), (1, 1), (, 1), and (7, -1). ) 2 ) 12 ) 18 ) 6 1. is equilateral. Find the measure of arc in the figure. ) Which of the following is a chord? ) ) ) F ) F G ) 60 ) 0 ) In circle, is a diameter, m = 100. Find m. ) Find the measure of in the figure below. ) 15.9 ) 90 ) 50 ) 10 ) 8.9 ) 5. ) and are tangents to circle. If = 12 and the radius of circle is 5, then find the length of. 1. Given m = 20, m = 102. Find m. ) 7 ) 1 ) 17 ) 60 ) 122 ) 20 ) 102 ) Which picture shows a triangle inscribed in a circle? 2. RT is a diameter of circle and m RS = 128. Find mr. ) 6 S ) 52 ) 26 ) 128 R T ) picture ) picture ) picture ) none of these

5 8. The area of a circle is 6. What is its circumference? ) 6 ) 12 ) 18 ) is translated by (, y) ( +, y 2). If the coordinates of the triangle are (0, 0), (-5, 7) and (2, ), what are the coordinates of? ) (-8, 9) ) (-2, 5) ) (, -2) ) (5, 1) 50. Given circles and are tangent. The length of is? 5. ne difference between a rhombus and a square is: ) square has four right angles, a rhombus does not necessarily. ) square has four congruent sides, a rhombus does not necessarily. ) rhombus has congruent sides and congruent angles, a square does not. ) There are no differences between a square and a rhombus. 55. In the figure below, if is a parallelogram, what are the coordinates of verte? ) (10, -1) ) (7, -1) (,10) (8,10) ) (6, -1) ) (, -1) (-1,-1) ) 7 ) 1 ) 5 ) If and are tangent segments, and = 6, what can be concluded about? ) cannot determine length of. 56. What is the length of arc? ) 2 ) 2 ) ) 15 ) = 57. rectangle is a square. ) = 6 ) = 2 ) always ) sometimes ) never 52. Given m = 0 and the measure of arc is 80, find the measure of arc. 58. Find the volume of the cylinder below. ) 10 ) 5 π units ) 20 ) 25 ) 0 ) 9 π units ) 0 π units ) 15 π units 5 5. If = then is a of. ) centroid 59. Reflect the following points over the -ais: P(-2, ) and Q(1, ). ) 2 1 ) 2 1 ) median ) altitude ) 2.1 ) 2 1 ) hypotenuse

6 60. Find the area of the trapezoid below. ) 210 units G is rotated 90 counterclockwise about the origin. What are the new coordinates of? ) 175 units ) (-, 0) ) 90 units 2 ) 105 units 2 20 G ) (0, -) ) (, 0) ) (0, ) 61. Find the lateral area of the right prism. ) 9 ) 70 ) In isosceles PQR, P is the verte angle. If mq = 8 and mr = , find the measure of P. ) 60 ) ) 21 ) 2 ) In the figure on the right, name one additional pair of corresponding parts that needs to be congruent in order to prove that STP MK by S. ) S M ) TP K ) T K ) ST MK T M K 68. What is the value of in the diagram? ) 7 ) 20 ) S P ) Find the area of a sector of a circle with an arc measure of 5 and with a radius of. ) 16 ) 8 ) 2 ) 2 6. If a point is chosen at random in the interior of circle, what is the probability that the point is in the interior of? 69. What is the largest angle in the figure below? W ) V 7 6 ) W 12 X 9 10 ) Y V ) Z Y 8 Z ) 2 π ) 1 ) 5 2π ) 1 2π 70. If the degree measures of the angles of a triangle are in ratio 2::. What is the measure of the largest angle? ) 20 ) 0 ) 80 ) In isosceles PQR, P is the verte angle. If mq = 8 and mr = , find the measure of P. ) 8 ) Which could not be the lengths of the sides of a triangle? ) {1,, } ) {1, 11, 12} ) {,5,7} ) {8, 11, 18} ) 62 ) 118

7 72. In the figure, what is the value of y? 78. The perimeter of rectangle JKLM is 6. Find the area. ) 0 ) 10 ) 0 J 8 M ) 50 ) 80 ) 60 ) 80 ) 22 K L 7. Find the image of with vertices (7, 2), (-8, 5), (0,-6); translation: 9,. ) (11, -7), (-, -), (, -15) ) (-2, 6), (-17, 9), (-9, -2) 79. is the angle bisector of, m = + 2, and m = 6. Find m. ) 8 ) 2 ) 26 ) 52 ) (-6, 8), (72, 20), (0, -2) ) (-2, 8), (-17, 9), (0, -2) 80. In RST, m<r = + 10, m<s = + 5, m<t = 5. List the sides in decreasing order. 7. What is the volume of a regular square pyramid with base edge 16 and height 6? ) 156 ) 512. RS,, ST TR. TR, RS, ST., ST RS, TR., ST TR, RS ) 256 ) Quad Quad HGF. What is the scale factor? 75. Find if the surface area of the figure is 286 in 2. ) 1 in. ) 8 in. ) 7 in. ) 6 in.. :1. 21:6. 1:. : F 6 H G 9 in. 5 in. 82. In the diagram shown below, l // m, m2 = ( 2) º and m8 = ( 21) º. What is the measure of 5? 76. Find the area of the shaded region. ) l ) 1 6 π ) π ) 66 ) m ) 1 1 π 12 cm ) 11 ) 96 1 π 12 cm 77. The perimeter of an equilateral is 0. Find the area. ) 25 ) 50 ) 50 ) What additional information would be needed to prove by S? ) ) ) )

8 8. The mast of a sailboat is a right triangle. Find the height of the mast. ) h 88. Given parallelogram FGH, what is the length of side F? F ).2 ) 1 ) Which statement is true about LL parallelograms? H G ). The diagonals are congruent. ). The consecutive sides are congruent. ). The diagonals are perpendicular to each other. ) 27 ) 21 ). The opposite angles are congruent. ) The lengths of two consecutive sides of a parallelogram are 10 inches and 15 inches. The two sides also form a 60 angle. Find the area of the parallelogram. ) 150 in 2 ) cone has a radius of 12 cm and a height of 9 cm. What is the approimate lateral surface area? ) 89 cm 2 ) 10.5 in 2 ) 19. in 2 ) in 2 60 ) 12 cm 2 ) 2 cm 2 ) 565 cm ft ladder is leaning against a wall. The foot of the ladder is 7 ft from the base of the wall. What is the approimate measure of the angle the ladder forms with the ground? 90. The eterior angle of a base angle in an isosceles triangle is 100. What is the measure of the verte angle? ) 70.7 ) 69.5 ) 20.5 ) 19. ) 20 ) 0 ) 60 ) 80 N F XM: HK LL F YUR NSWRS!