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. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

A kite has diagonals of lengths 10 cm and 24 cm. What is its area?

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 quadrilateral is inscribed in a circle. What is the special name for such a quadrilateral?

A trapezium has parallel sides of lengths 12 cm and 8 cm, and the distance between them is 5 cm. Find its area.

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.

Given a parallelogram with adjacent sides 8 cm and 15 cm, and the included angle is 60°, calculate its area.

Given a quadrilateral with vertices A(1,2), B(5,2), C(5,6), and D(1,6), determine its type and calculate its perimeter.

If the diagonals of a quadrilateral are equal and bisect each other, what type of quadrilateral is it?

If the diagonals of a quadrilateral bisect each other at right angles, what type of quadrilateral is it?

If the sum of two adjacent angles of a parallelogram is 110°, what is the measure of each of the other two angles?

State the difference between a rhombus and a square.

State the necessary and sufficient conditions for a quadrilateral to be a parallelogram.