In cubic centimeters, what is the volume of the sphere, in terms of ?1) 122) 363) 484) 288 If M N O P is the image of MNOP after a reflection over the x-axis, which two sides of quadrilateral M N O P are parallel?1) M N and O P 2) M N and N O 3) P M and O P 4) P M and N Oġ2 A sphere is inscribed inside a cube with edges of 6 cm. What is the value of x?1) 102) 283) 324) 40ġ1 Quadrilateral MNOP is a trapezoid with MN OP. Which statement is false?1) AB :BC=DE :EF2) AC :DF=BC :EF3) ACB DFE4) ABC EDFġ0 In the diagram below of ABC, AB AC, mA = 3x, and mB = x + 20. If AE = 5 and BE = 12, what is the length of AB?1) 72) 103) 134) 17ĩ Scalene triangle ABC is similar to triangle DEF. ![]() If mA = x2 6x, mB = 2x 3, and mACD = 9x + 27, what is the value of x?1) 102) 23) 34) 15Ĩ In rhombus ABCD, the diagonals AC and BD intersect at E. Geometry Multiple Choice Regents Exam Questions2ħ In the diagram below of ABC, BC is extended to D. What is the length of LF?1) 62) 83) 34) 4 What value of x would make lines n and m parallel?1) 1102) 803) 704) 50Ħ In the diagram below, LATE is an isosceles trapezoid with LE AT, LA = 24, ET = 40, and AT = 10. What is the order of the sides in length, from longest to shortest?1) AB, BC, AC2) BC, AC, AB3) AC, BC, AB4) BC, AB, ACĥ In the diagram below, lines n and m are cut by transversals p and q. The equation of the perpendicular bisector of AB is1) x = 02) x = 33) y = 04) y = 3Ĥ In scalene triangle ABC, mB = 45 and mC = 55. Geometry Multiple Choice Regents Exam Questionsġ What are the center and the radius of the circle whose equation is (x 5)2 + (y + 3)2 = 16?1) (5, 3) and 162) (5,3) and 163) (5, 3) and 44) (5,3) and 4Ģ The number of degrees in the sum of the interior angles of a pentagon is1) 722) 3603) 5404) 720ģ The coordinates of the endpoints of AB are A(0, 0) and B(0, 6). Ready for the solution? Click here to see if you’re right-and to get an insanely in-depth breakdown of how to solve this problem, plus the complete answers to 100+ other challenging riddles.Geometry Multiple Choice Regents Exam Questions1 ![]() Fortunately, your phone has all the tools you need to sort out this trigonometric conundrum. Once upon a time, you’d have to scour through a reference manual in order to solve this problem. ![]() Flight Control calls back from the tower with some more details: The 350-foot tall tower is 7,000 feet back from the edge of the airfield and they see the airplane at an angle of 19.9 degrees from the tower window at that same moment.Īfter a few calculations, the pilot suddenly knows their current altitude. The pilot looks ahead and down, and sees the edge of the airfield at an angle of declination of 27.9 degrees. No cheating!Īn airplane is flying in a straight line toward its landing strip when the pilot realizes their altimeter isn’t working. The following riddle is one particularly punishing problem-so go grab a pencil and a piece of scratch paper and prepare to rip your hair out (in the best way). Here at PopMech, we love mind-bending math and l ogic puzzles, which is why we regularly recruit the sharpest minds in the world to concoct riddles that will test your critical thinking, mathematics, and logic skills.
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