Isosceles trapeziums are parallelograms.
Question types
Quadrilaterals question types
32 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
32
Questions
5
Question groups
5
Question types
01
TRUE-FLASE [1 Marks Each]
7 Q→022 Marks Questions
4 Q→033 Marks Question
10 Q→045 Marks Questions
6 Q→054 Mark Question
5 Q→Sample Questions
Quadrilaterals questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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A quadrilateral in which all the angles are equal is a rectangle.
A quadrilateral in which the opposite angles are equal must be a parallelogram.
A quadrilateral whose diagonals are perpendicular to each other must be a rhombus.
A quadrilateral whose diagonals bisect each other must be a parallelogram.
We saw that one of the properties of a rectangle is that its opposite sides are parallel. Can this be chosen as a definition of a rectangle? In other words, is every quadrilateral that has opposite sides parallel and equal a rectangle?
We have seen how to get 90° using paper folding. Now, suppose we do not have any paper but two sticks of equal length, and a thread. How do we make an exact 90° using these?
Consider a circle with centre O. Line segments PL and AM are two perpendicular diameters of the circle. What is the figure APML? Reason and/or experiment to figure this out.
Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Then, answer the following questions -
(i) What is the quadrilateral that is both a kite and a parallelogram?
(ii) Can there be a quadrilateral that is both a kite and a rectangle?
(iii) Is every kite a rhombus? If not, what is the correct relationship between these two types of quadrilaterals?
(i) What is the quadrilateral that is both a kite and a parallelogram?
(ii) Can there be a quadrilateral that is both a kite and a rectangle?
(iii) Is every kite a rhombus? If not, what is the correct relationship between these two types of quadrilaterals?
Draw a quadrilateral whose diagonals have equal lengths of 8 cm that bisect each other, and intersect at an angle of $140^{\circ}$
View full solution →Draw a quadrilateral whose diagonals have equal lengths of 8 cm that bisect each other, and intersect at an angle of $90^{\circ}$
View full solution →Draw a quadrilateral whose diagonals have equal lengths of 8 cm that bisect each other, and intersect at an angle of $40^{\circ}$
View full solution →Draw a quadrilateral whose diagonals have equal lengths of 8 cm that bisect each other, and intersect at an angle of $30^{\circ}$
View full solution →CASE is a square. The points U, V, W and X are the midpoints of the sides of the square. What type of quadrilateral is UVWX? Find this by using geometric reasoning, as well as by construction and measurement. Find other ways of constructing a square within a square such that the vertices of the inner square lie on the sides of the outer square, as shown in Figure (b).
Find all the other angles inside the following rectangles.
Find all the other angles inside the following rectangles.
Will the sum of the angles in a quadrilateral such as the following one also be $360^{\circ}$ ? Find the answer using geometric reasoning as well as by constructing this figure and measuring.
View full solution →What type of quadrilateral is one in which the opposite sides are equal? Justify your answer.
If a quadrilateral has four equal sides and one angle of $90^{\circ}$, will it be a square? Find the answer using geometric reasoning as well as by construction and measurement.
View full solution →Construct a square with a diagonal 6 cm without using a protractor.
Construct a kite whose diagonals are of lengths 6 cm and 8 cm.
Find all the sides and the angles of the quadrilateral obtained by joining two equilateral triangles with sides 4 cm.
Using the diagonal properties, construct a rhombus whose diagonals are of lengths 4 cm and 5 cm.
Using the diagonal properties, construct a parallelogram whose diagonals are of lengths 7 cm and 5 cm , and intersect at an angle of $140^{\circ}$.
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