The diagonals of a rhombus are 6 .cm and 8 cm. State the angle at which these diagonals intersect.
Question types
Quadrilateral question types
30 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
30
Questions
6
Question groups
5
Question types
01
[1 Mark Question Answer]
1 Q→02[2 Mark Question Answer]
4 Q→03[3 marks sum]
9 Q→04[4 marks sum]
6 Q→05Fill in the blanks.
1 Q→06[5 marks sum]
9 Q→Sample Questions
Quadrilateral 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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Two adjacent angles of a parallelogram are 70° and 110° respectively. Find the other two angles of it.
Write two conditions that will make the adjoining figure a square.
Write, giving reason, the name of the figure drawn alongside. Under what condition will this figure be a square.
One diagonal of a rectangle is 18 cm. What is the length of its other diagonal?
If three angles of a quadrilateral are 90° each, show that the given quadrilateral is a rectangle.
In parallelogram ABCD, ∠A = 90°
(i) What is the measure of angle B.
(ii) Write the special name of the parallelogram.
(i) What is the measure of angle B.
(ii) Write the special name of the parallelogram.
In parallelogram $\text{ABCD,}$ its diagonals intersect at point $O.$ If $OA = 6 \ cm$ and $OB = 7.5 \ cm,$ find the length of $AC$ and $BD.$
View full solution →In a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.
If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.
If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.
Three angles of a quadrilateral are equal. If the fourth angle is 69°; find the measure of equal angles.
Angle A of an isosceles trapezium ABCD is 115°; find the angles B, C and D.
Two diagonals of an isosceles trapezium are x cm and (3x – 8) cm. Find the value of x.
Each angle of a quadrilateral is x + 5°. Find:
(i) the value of x
(ii) each angle of the quadrilateral.
Give the special name of the quadrilateral taken.
(i) the value of x
(ii) each angle of the quadrilateral.
Give the special name of the quadrilateral taken.
In a trapezium ABCD, side AB is parallel to side DC. If ∠A = 78° and ∠C = 120. find angles B and D.
Given : In quadrilateral ABCD ; ∠C = 64°, ∠D = ∠C – 8° ; ∠A = 5(a+2)° and ∠B = 2(2a+7)°.
Calculate ∠A.
Calculate ∠A.
In an isosceles trapezium one pair of opposite sides are parallel to each Other and the other pair of opposite sides are _____ to each other.
The angles A, B, C and D of a quadrilateral are in the ratio 2:3: 2 : 3. Show this quadrilateral is a parallelogram.
Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.
The angles A, B, C and D of a trapezium ABCD are in the ratio 3: 4: 5: 6. Le. ∠A : ∠B : ∠C : ∠D = 3:4: 5 : 6. Find all the angles of the trapezium. Also, name the two sides of this trapezium which are parallel to each other. Give reason for your answer.
In a trapezium ABCD, side AB is parallel to side DC. If ∠A = x° and ∠D = (3x – 20)°; find the value of x.
From the following figure find ;
(i) x
(ii) ∠ABC
(iii) ∠ACD
(i) x
(ii) ∠ABC
(iii) ∠ACD
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