" Angles ABCand DEFare congruent


 Archibald Blake
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1 Collinear points a) determine a plane d) are vertices of a triangle b) are points of a circle c) are coplanar 2. Different angles that share a common vertex point cannot a) share a common angle side! b) be right angles c) share interior points d) use the vertex name as the angle name 3 Lines I and m intersect at point A. Line I contains a point B that is not on line m The number of lines that contain point B and are parallel to line m is (are ) a) two b) infinite c) zero d) cannot detennine 4 Angles E B A and E BC are adjacient. The measure of angle ABC is 132 and the measure of angle EBAis 810. The measure of angle EBCis a) 213 b) 610 c) 51 d) 48 5 Angles ABC and DEF are complementary. a) The angles are both acute b) The angles both measure 45" c) The angles are both obtuse d) One angle is acute and one angle is obtuse " Angles ABCand DEFare congruent The two angles must be a) complementary b) supplementary c) right angles d) adjacient angles 7. Which of the following sets of interior angle measures describe an isosceles triangle? a) 30", 60, 90 b) 60, 60, 60 c) 70, 60, 50 d) 160, 5, 15 8 Triangle ABGis isosceles. AG = AB. ml.ais twice ml.b. L.Gmeasures a) 30 b) 40 c) 45 d) ABC is similar to 6EFG. AB = 16 units. EF = 24 units. The ratio of side BCto side FG is a) 2: 4 b) 2: 1 c) 1 2 d) 2: A triangle has side lengths of 3 units, 4 units and 5 units. The triangle is a) isosceles b) oblique c) obtuse d) similar 11 A side of a square has a measure of 2. The measure of a diagonal is a) I b) 2 d) 2J2
2 12. Jane is standing 300 meters under an airplane. At the same instant, another plane is behind the first plane and 500 meters from Jane. The distance between the two planes is: a) V34OOOO meters d),ffijijoo meters b) 400 meters c) 200 meters 13 A building lot has four sides. The building lot must be a The sides consecutively measure 70 feet, 95 feet, 70 feet, 95 feet. a) rectangle b) rhombus c) parallelogram d) square 14 An angle of a rhombus measures 23. The sum of the remaining angle measures is a) 157 b) 247 c) 134 d) 314 ~ The measure of an edge of a cube is 2 inches. The sum of the measures of all edges of the cube is a) 8 inches b) 16 inches c) 24 inches d) 36 inches 16. The base of a parallelogram has a measure of 48 units. The area of the parallelogram is The height of the parallelogram is 12 units. a) 144 UnitS2 b) 288 units2 c) 576 UnitS2 d) 1152 UnitS2 1'7 The diameter of a circle is a) a radius b) an arc c) a chord d) a line 18 A central angle of a circle is 30. The radius of the circle is 7 units. by the central angle is The measure of the arc subtended a) 2107r units b) ~7runits e} none of these 10 Two tangent circles each with a diameter of 10 units are in the interior of a larger circle with a diameter of20 units. The area of the region inside the larger circle but outside of the inner circles is a) 200 1[ units2 b) 100 7r UnitS2 c) 75 1[ UnitS2 d) 50 7[ units2 20. A dessert in the shape of a cylinder is 12 inches long and 18 inches around. After baking, the length is the same but the volume is onehalf of the original volume. The circumference after baking is a) 9inches b) 9.[2 inches c) 9 inches d) 3 J2 inches 21) The distance between the points located at (1, 4) and (2, 4) is a) II b) 13 c) J55
3 The grade ofa road is 6%. (That is, for every 100 horizontal feet, the road rises 6 feet.) The number of vertical feet the road rises in two horizontal miles is a) 120 feet b) feet c) 624 feet d) feet The slope of a line perpendicular to the line described by 5x 3y = 10 is: a) 5 24) b) ~ The value of x in the diagram is b) 50 c) 60 d) 80 The value of x in the diagram is a) 40 b) 60 c) 80 d) 100 In the diagram, the value of x is b) 55 c) 60 d) 75 A triangle has vertices at (I, I), (5, 4), and (5, 5). The area of the triangle in square units is a) 8 b) 6 c) 4 d) 2
4 28) The value of x in the diagram is?( 'X b) 8 d) 13 29) In the diagram of rectangle ABC D, the area of 6AEB = 8. The area of 6AC D is a) 8 b) 12 c) 16 d) 24 30) A rectangular sheet of paper measures 24 inches by 60 inches. The sheet must be cut into as many identical rectangles as possible. Each rectangle has a perimeter of 10 inches with length and width that are integers. The maximum number of these rectangles is a) 144 b) 180 c) 240 "d) 360 The following statements correspond to the diagram. I: p = x and q = y, II: x + y = 90, III: x = y = 45 The true statement must be: a) I only b) II only c) m only d) I and III only The area of a circle is 64 71" square units. The circumference is a) 81[ units b) 167r units c) 321[ units d) 641[ units If the diameter ora circle increases by 500/0, then the area orthe circle increases by a) 25% b) 50% c) 1000/0 d) 225%
5 The dots on a die are arranged so the sum of the dots on opposite sides total 7. In the figure, the sum of the dots not shown is a} 7 b) 9 c) 12 d) 13 In the diagram. III are mutually parallel. The value of a + b + c + d + e is a) 180 b) 270 c) 360 d) 420 A square is inscribed in a circle. The radius of the circle is 12. The apothem of the square is b) 2V3 c) 6V2 d) 4/3 The measure of arc y in the diagram is a) 30 b) 60 c)82.so d) 120 The measure of angle x in the diagram is o.<do b) 40 c) 800 d) 160
6 The value of x in the diagram (the three horizontal segments are mutually parallel) is 10 a) 6 d} 15 The inverse of the statement "If the sky is green then widgets are red" is a) If widgets are not red then the sky is not green c) If the sky is green then widgets are not red b) If the sky is not green then widgets are not red d) If widgets are red then the sky is green The pair of statements that is equivalent is (where rv means not, 1\ means and, V means or: + means if then ) a) p!\q, rvpv rvq d) rvp/\q, rv(pvq) b) p+q, rv p+ rv q c) p+q, rv q+ rv p The statement "Through a point outside a given line there is exactly one parallel to the line" a) is a consequence of alternate interior angles having the same measure when parallel lines are cut by a transversal. b) is a consequence of the definition of "parajlel". c) may be proven using logic and the postulate that states that any two distinct points in space have exactly one line that contains them. d) cannot be proven The area of a triangle whose side lengths are 4 units, 5 units, and 7 units is a) 4/6 b) 816 c) 96 d) 192 The sine of 450 is the y coordinate of the 9rd~ed pair indicated in the diagram. Sin 450 is ( CJ, ) ( ')() SI'. 11:5 ) o C 1} ~S ( I J 0) a).ii 2 45) (0)f) b) 4 c) 4 d) 4 In the figure, AB is an arc of a circle with center 0. If the length of arc AB is 571" and GB = 4, then the sum in square units of the areas of the shaded regions is A ~ 0 ~ B a) 257[ 60 b) 257[ 48 c) 257[ 36 d) 25n 24
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