Geometry & Mensuration

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Q. In a quadrilateral, if one angle is 120 degrees and the other three angles are equal, what is the measure of each of the equal angles?
  • A. 30 degrees
  • B. 40 degrees
  • C. 60 degrees
  • D. 80 degrees
Q. In a quadrilateral, if one angle is 120 degrees, what can be said about the sum of the other three angles?
  • A. They must sum to 60 degrees.
  • B. They must sum to 180 degrees.
  • C. They must sum to 240 degrees.
  • D. They must sum to 360 degrees.
Q. In a quadrilateral, if one angle is 90 degrees and the opposite angle is 90 degrees, what can be concluded about the quadrilateral?
  • A. It is a rectangle.
  • B. It is a square.
  • C. It is a parallelogram.
  • D. It is a trapezium.
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 the lengths of all sides are equal, which of the following is true?
  • A. It is a rectangle.
  • B. It is a rhombus.
  • C. It is a square.
  • D. It can be any quadrilateral.
Q. In a quadrilateral, if the sum of the interior angles is 360 degrees, which of the following statements is true?
  • A. It can only be a rectangle.
  • B. It can be a triangle.
  • C. It can be any four-sided figure.
  • D. It can only be a square.
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 hexagon, what is the measure of each interior angle?
  • A. 120 degrees
  • B. 90 degrees
  • C. 150 degrees
  • D. 60 degrees
Q. In a regular hexagon, what is the relationship between the side length and the radius of the circumscribed circle?
  • A. The radius is twice the side length.
  • B. The radius is equal to the side length.
  • C. The radius is half the side length.
  • D. The radius is three times the side length.
Q. In a regular pentagon, what is the measure of each exterior angle? (2023)
  • A. 60 degrees
  • B. 72 degrees
  • C. 90 degrees
  • D. 108 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 regular pentagon, what is the relationship between the number of sides and the number of diagonals? (2023)
  • A. Diagonals are equal to sides.
  • B. Diagonals are twice the number of sides.
  • C. Diagonals are three times the number of sides.
  • D. Diagonals are less than the number of sides.
Q. In a regular polygon, if the measure of each exterior angle is 30 degrees, how many sides does the polygon have? (2023)
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. In a rhombus, what can be said about the angles?
  • A. All angles are equal
  • B. Opposite angles are equal
  • C. Adjacent angles are equal
  • D. All angles are right angles
Q. In a rhombus, what can be said about the diagonals?
  • A. They are equal and bisect each other at right angles.
  • B. They are unequal and bisect each other at right angles.
  • C. They are equal and do not bisect each other.
  • D. They are unequal and do not bisect each other.
Q. In a rhombus, what is the relationship between the lengths of the diagonals?
  • A. They are equal
  • B. They are perpendicular
  • C. They bisect the angles
  • D. Both B and C
Q. In a right triangle, if one angle measures 30 degrees, what is the measure of the other non-right angle?
  • A. 60 degrees
  • B. 30 degrees
  • C. 90 degrees
  • D. 45 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 right triangle, if one of the non-right angles is 30 degrees, what is the measure of the other non-right angle?
  • A. 60 degrees
  • B. 30 degrees
  • C. 90 degrees
  • D. 45 degrees
Q. In a right triangle, if one of the non-right angles is 45 degrees, what is the measure of the other non-right angle?
  • A. 45 degrees
  • B. 60 degrees
  • C. 30 degrees
  • D. 90 degrees
Q. In a square, if the length of one side is doubled, what happens to the area of the square?
  • A. It remains the same
  • B. It doubles
  • C. It quadruples
  • D. It increases by 50%
Q. In a trapezium, which of the following statements is true?
  • A. All sides are equal.
  • B. Only one pair of opposite sides is parallel.
  • C. Both pairs of opposite sides are parallel.
  • D. It has four right angles.
Q. In a triangle formed by the points A(1, 2), B(4, 6), and C(1, 6), which of the following statements is true?
  • A. AB is parallel to AC
  • B. AB is perpendicular to AC
  • C. AC is longer than AB
  • D. All sides are equal
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.
Q. In a triangle, if one angle is twice the size of another angle, and the third angle is 30 degrees less than the first angle, what is the measure of the smallest angle?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. In a triangle, if one angle is twice the size of another angle, and the third angle is 30 degrees less than the largest angle, what is the measure of the smallest angle?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. In a triangle, if one angle is twice the size of another angle, what is the measure of the smallest angle? (2023)
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. In a triangle, if one angle measures 45 degrees and the other measures 45 degrees, what type of triangle is it?
  • A. Scalene
  • B. Isosceles
  • C. Equilateral
  • D. Right
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