Geometry & Mensuration

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Q. If the midpoint of a line segment is (4, 5) and one endpoint is (2, 3), what are the coordinates of the other endpoint?
  • A. (6, 7)
  • B. (8, 9)
  • C. (4, 5)
  • D. (0, 1)
Q. If the midpoint of a line segment is (4, 5) and one endpoint is (2, 3), what is the other endpoint?
  • A. (6, 7)
  • B. (8, 9)
  • C. (4, 5)
  • D. (2, 3)
Q. If the perimeter of a regular hexagon is 72 cm, what is the length of each side?
  • A. 10 cm
  • B. 12 cm
  • C. 14 cm
  • D. 8 cm
Q. If the perimeter of an equilateral triangle is 36 cm, what is the length of each side?
  • A. 9 cm
  • B. 12 cm
  • C. 15 cm
  • D. 18 cm
Q. If the sides of a triangle are in the ratio 3:4:5, which type of triangle is it?
  • A. Equilateral
  • B. Isosceles
  • C. Scalene
  • D. Right-angled
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 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 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 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 pairs of angles are always equal?
  • A. Alternate interior angles
  • B. Corresponding angles
  • C. Consecutive interior angles
  • D. All of the above
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
Q. In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the circumference?
  • A. 20 degrees
  • B. 40 degrees
  • C. 80 degrees
  • D. 160 degrees
Q. In a circle, if the angle subtended by an arc at the center is 60 degrees, what is the angle subtended at any point on the remaining part of the circle?
  • A. 30 degrees
  • B. 60 degrees
  • C. 90 degrees
  • D. 120 degrees
Q. In a circle, if the angle subtended by an arc at the center is 60 degrees, what is the angle subtended at any point on the circumference?
  • A. 30 degrees
  • B. 60 degrees
  • C. 90 degrees
  • D. 120 degrees
Q. In a circle, if the radius is increased by 50%, what happens to the area?
  • A. Increases by 25%
  • B. Increases by 50%
  • C. Increases by 75%
  • D. Increases by 125%
Q. In a coordinate plane, if the point A(2, 3) is reflected across the x-axis, what are the coordinates of the reflected point?
  • A. (2, -3)
  • B. (3, 2)
  • C. (-2, 3)
  • D. (3, -2)
Q. In a coordinate plane, if the point A(2, 3) is reflected over the x-axis, what are the coordinates of the reflected point?
  • A. (2, -3)
  • B. (3, 2)
  • C. (-2, 3)
  • D. (-3, -2)
Q. In a cyclic quadrilateral, the opposite angles are related in which way? (2023)
  • A. They are equal.
  • B. They are supplementary.
  • C. They are complementary.
  • D. They are independent.
Q. In a parallelogram, if one angle measures 60 degrees, what is the measure of the opposite angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a parallelogram, if the base is 12 cm and the height is 5 cm, what is the area? (2020)
  • A. 60 cm²
  • B. 70 cm²
  • C. 80 cm²
  • D. 90 cm²
Q. In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about the sum of angles C and D?
  • A. C and D must be 100 degrees
  • B. C and D must be 180 degrees
  • C. C and D must be 90 degrees
  • D. C and D must be 360 degrees
Q. In a quadrilateral ABCD, if angle A is 90 degrees and angle B is 45 degrees, what can be inferred about the other angles? (2023)
  • A. Angle C is 45 degrees and angle D is 90 degrees.
  • B. Angle C is 90 degrees and angle D is 45 degrees.
  • C. Angle C is 135 degrees and angle D is 135 degrees.
  • D. Angle C is 180 degrees and angle D is 0 degrees.
Q. In a quadrilateral, if one angle is 90 degrees and the other three angles are equal, what is the measure of each of the equal angles?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees, what is the measure of the fourth angle?
  • A. 120 degrees
  • B. 100 degrees
  • C. 110 degrees
  • D. 130 degrees
Q. In a rectangle, which of the following is true about the diagonals? (2023)
  • A. They are perpendicular.
  • B. They are equal and bisect each other.
  • C. They are unequal.
  • D. They do not bisect each other.
Q. In a regular dodecagon, what is the measure of each exterior angle?
  • A. 30 degrees
  • B. 36 degrees
  • C. 24 degrees
  • D. 18 degrees
Q. In a regular pentagon, what is the measure of each interior angle?
  • A. 108 degrees
  • B. 120 degrees
  • C. 90 degrees
  • D. 72 degrees
Q. In a right triangle, if one of the angles is 30 degrees, what is the measure of the other non-right angle?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?
  • A. They are both acute angles.
  • B. One is obtuse and the other is acute.
  • C. They are both obtuse angles.
  • D. They are equal.
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