Different Types of Quadrilaterals

IMPORTANT

Different Types of Quadrilaterals: Overview

Via this topic, we will understand the different types of quadrilaterals with the aid of a figure. The different types of quadrilaterals are based on the length of sides, diagonal, and measures of angles.

Important Questions on Different Types of Quadrilaterals

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What is a Kite shaped quadrilateral? Observe the kite given below and answer the following question:

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If CD=13 units, what is the measure of BD?

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What is a Kite shaped quadrilateral? Observe the kite given below and answer the following question:

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If AB=7 units, what is the measure of AC?

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Diagonals of a parallelogram are of equal length and intersect at right angle, then the parallelogram is

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The lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively. If the length of each side of the rhombus is k cm, find the value of k.

MEDIUM
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Veena took two sticks of different lengths and made the shape of a cross such that O is the middle point of the stick BD. Then she connected the end points (A, B, C and D) of the sticks using a taut string.

The shape formed by the string is a _____.

(Note: Enter the name corresponding to the type of quadrilateral formed.)

HARD
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In the kite below PQ = PS and QR = RS and PS ≠ RS.

Which of the following is/are definitely true about the kite PQRS?

(i) ∠QRS = ∠QPS

(ii) ∠PSR = ∠PQR

(iii) OS = OQ

(iv) OP = OR

MEDIUM
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The diagonals of a kite are perpendicular.

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Column A Column B
(a) In a rectangle, diagonals are (i) equal
(b) In a kite, diagonals are  (ii) perpendicular
(c) In a cyclic quadrilateral, opposite angles are (iii) supplementary
(d) Sum of adjacent angles in a quadrilateral is 180°, then the quadrilateral is a  (iv) parallelogram

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Which of the following quadrilateral has only one pair of opposite sides parallel?

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Which of the following quadrilaterals does not have two pairs of adjacent sides equal and diagonals intersecting at right angle?

MEDIUM
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Which of the following is not true?

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Which has only one pair of parallel sides?

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Which has only one pair of equal sides?

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Which statement is true?