Quadrilaterals
Math ⇒ Geometry
Quadrilaterals starts at 6 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Quadrilaterals.
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See sample questions for grade 12
A quadrilateral has sides 5 cm, 7 cm, 5 cm, and 7 cm, and its diagonals are equal. What is the name of this quadrilateral?
A quadrilateral is inscribed in a circle. What is the special name for such a quadrilateral?
Explain the conditions under which a parallelogram becomes a rhombus.
Explain why the sum of the exterior angles of any convex quadrilateral is always 360 degrees.
A parallelogram has sides 10 cm and 6 cm, and one of its diagonals is 8 cm. Find the length of the other diagonal if the diagonals bisect each other at right angles.
A quadrilateral has sides 5 cm, 7 cm, 5 cm, and 7 cm, and its diagonals are equal. What is the name of this quadrilateral?
A quadrilateral has vertices at (0,0), (4,0), (4,3), and (0,3). What is the name of this quadrilateral and its area?
A trapezium has parallel sides of lengths 12 cm and 8 cm, and the distance between them is 5 cm. Find its area.
Which of the following is NOT a property of a kite?
(1) Two pairs of adjacent sides are equal
(2) One diagonal bisects the other
(3) Both diagonals are equal
(4) One pair of opposite angles are equal
Which of the following quadrilaterals always has both pairs of opposite sides parallel?
(1) Trapezium
(2) Parallelogram
(3) Kite
(4) Rectangle
Which of the following quadrilaterals can have exactly two equal sides?
(1) Parallelogram
(2) Trapezium
(3) Rectangle
(4) Rhombus
Which of the following quadrilaterals has only one pair of parallel sides?
(1) Parallelogram
(2) Trapezium
(3) Rectangle
(4) Rhombus
A quadrilateral has four right angles and all sides are equal. The name of this quadrilateral is ________.
Fill in the blank: In a cyclic quadrilateral, the sum of the measures of opposite angles is ______ degrees.
Fill in the blank: The area of a trapezium with parallel sides a and b, and height h, is ________.
Fill in the blank: The diagonals of a ________ are perpendicular bisectors of each other.
True or False: Every square is a rectangle, but not every rectangle is a square.
True or False: In a trapezium, the non-parallel sides are always equal.
True or False: The area of a quadrilateral can always be found if only the lengths of its sides are known.
True or False: The diagonals of a rectangle are always perpendicular.
