Geometry & Mensuration

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Q. If the sum of the interior angles of a quadrilateral is 360 degrees, what is the sum of the exterior angles?
  • A. 180 degrees
  • B. 360 degrees
  • C. 270 degrees
  • D. 90 degrees
Q. If the surface area of a cube is 216 square meters, what is the length of one side of the cube?
  • A. 6 meters
  • B. 9 meters
  • C. 12 meters
  • D. 15 meters
Q. If the surface area of a cylinder is 150π cm² and the height is 10 cm, what is the radius?
  • A. 5 cm
  • B. 6 cm
  • C. 7 cm
  • D. 8 cm
Q. If the surface area of a cylinder is 150π cm² and the height is 5 cm, what is the radius?
  • A. 5 cm
  • B. 3 cm
  • C. 4 cm
  • D. 2 cm
Q. If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the angles? (2023)
  • A. 40 degrees and 50 degrees
  • B. 45 degrees and 45 degrees
  • C. 35 degrees and 55 degrees
  • D. 30 degrees and 60 degrees
Q. If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the two angles?
  • A. 40 and 50 degrees
  • B. 45 and 45 degrees
  • C. 35 and 55 degrees
  • D. 30 and 60 degrees
Q. If two angles are complementary and one angle is 10 degrees more than the other, what are the measures of the two angles?
  • A. 40 and 50 degrees
  • B. 45 and 45 degrees
  • C. 30 and 60 degrees
  • D. 35 and 55 degrees
Q. If two angles are complementary and one angle is twice the other, what are the measures of the angles?
  • A. 30 degrees and 60 degrees
  • B. 20 degrees and 70 degrees
  • C. 45 degrees and 45 degrees
  • D. 10 degrees and 80 degrees
Q. If two angles are complementary and one angle measures 25 degrees, what is the measure of the other angle?
  • A. 55 degrees
  • B. 65 degrees
  • C. 75 degrees
  • D. 85 degrees
Q. If two angles are complementary, what can be said about their measures?
  • A. They are both greater than 90 degrees.
  • B. They sum to 90 degrees.
  • C. They are both less than 45 degrees.
  • D. One is obtuse and the other is acute.
Q. If two angles are complementary, what is the maximum measure of either angle?
  • A. 90 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 30 degrees
Q. If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?
  • A. 60 degrees
  • B. 90 degrees
  • C. 150 degrees
  • D. 30 degrees
Q. If two angles are equal and one angle measures 45 degrees, what type of angles are they?
  • A. Acute angles
  • B. Obtuse angles
  • C. Right angles
  • D. Straight angles
Q. If two angles are equal and one is 40 degrees, what is the measure of the other angle?
  • A. 40 degrees
  • B. 80 degrees
  • C. 60 degrees
  • D. 20 degrees
Q. If two angles are equal and one of them is 45 degrees, what type of angles are they?
  • A. Acute angles
  • B. Obtuse angles
  • C. Right angles
  • D. Straight angles
Q. If two angles are equal and their sum is 180 degrees, what type of angles are they?
  • A. Acute angles
  • B. Obtuse angles
  • C. Right angles
  • D. Straight angles
Q. If two angles are said to be complementary, what is the maximum measure of either angle?
  • A. 90 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 180 degrees
Q. If two angles are said to be vertically opposite, what can be inferred about their measures?
  • A. They are always equal.
  • B. They are always supplementary.
  • C. They are always complementary.
  • D. They cannot be determined.
Q. If two angles are said to be vertically opposite, what can be said about their measures?
  • A. They are always equal.
  • B. They are always supplementary.
  • C. They are always complementary.
  • D. They cannot be determined.
Q. If two angles are supplementary and one angle measures 3 times the other, what is the measure of the smaller angle? (2023)
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. If two circles intersect at two points, what can be said about their centers?
  • A. They are the same.
  • B. They are equidistant from the intersection points.
  • C. They lie on the same line.
  • D. They are at a fixed distance apart.
Q. If two circles intersect at two points, what can be said about their relationship?
  • A. They are concentric.
  • B. They are tangent to each other.
  • C. They are secant to each other.
  • D. They do not intersect.
Q. If two circles intersect at two points, which of the following statements is true? (2021)
  • A. The centers of the circles are equidistant from the intersection points.
  • B. The line joining the centers of the circles passes through the intersection points.
  • C. The circles are tangent to each other.
  • D. The area of intersection is always a triangle.
Q. If two parallel lines are cut by a transversal, which of the following pairs of angles are always equal?
  • A. Alternate interior angles
  • B. Corresponding angles
  • C. Consecutive interior angles
  • D. All of the above
Q. If two parallel lines are cut by a transversal, which of the following pairs of angles are equal?
  • A. Alternate interior angles
  • B. Corresponding angles
  • C. Consecutive interior angles
  • D. Both A and B
Q. If two parallel lines are cut by a transversal, which of the following statements is true? (2023)
  • A. Alternate interior angles are equal
  • B. Corresponding angles are supplementary
  • C. Consecutive interior angles are equal
  • D. All angles are acute
Q. In a certain polygon, if each exterior angle measures 30 degrees, how many sides does the polygon have? (2023)
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. In a certain polygon, if one angle measures 120 degrees and the polygon is regular, how many sides does it have?
  • A. 6
  • B. 5
  • C. 8
  • D. 7
Q. In a certain polygon, if the exterior angle is 30 degrees, how many sides does the polygon have? (2023)
  • A. 6
  • B. 8
  • C. 12
  • D. 10
Q. In a certain polygon, the exterior angle at each vertex measures 45 degrees. How many sides does this polygon have?
  • A. 4
  • B. 5
  • C. 8
  • D. 10
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