Three angles of a quadrilateral measure $68^{\circ}, 74^{\circ}$ and $108^{\circ}$ respectively. Find the measure of the fourth angle.
View full solution →Question types
Quadrilaterals question types
76 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
76
Questions
6
Question groups
5
Question types
01
[1 Mark Question Answer]
1 Q→02[2 Mark Question Answer]
6 Q→03[3 marks sum]
23 Q→04TRUE / FALSE
14 Q→05fill in the blanks.
6 Q→06MCQ
26 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.
The angles of a quadrilateral are $(5 x)^{\circ},(3 x+10)^{\circ},(6 x-20)^{\circ}$ and $(x+25)^{\circ}$. Find (i) the value of $x$ and (ii) the measure of each angle of the quadrilateral.
View full solution →Three angles of a quadrilateral are equal and the fourth angle measures $75^{\circ}$. What is the measure of each of the equal angles?
View full solution →Two angles of a quadrilateral are $116^{\circ}$ and $84^{\circ}$ and the remaining two angles are equal. What is the measure of each of the equal angles?
View full solution →Two angles of a quadrilateral are $72^{\circ}$ and $56^{\circ}$ respectively and the remaining two angles are in the ratio $3: 5$. Find the measure of each angle of the quadrilateral.
View full solution →Three angles of a quadrilateral are in the ratio $2: 5: 6$. If the fourth angle measures $100^{\circ}$, find the other three angles of the quadrilateral.
View full solution →If the diagonals of a parallelogram are equal in length, show that the parallelogram is a rectangle.
In a square ABCD , if $AB =(3 x-8) cm$ and $BC =(x+6) cm$, find the value of $x$. Also, find the length of each side of the square.
View full solution →In the adjoining figure, the diagonals AC and BD of parallelogram ABCD intersect at O . If $\angle OBC =36^{\circ}, \angle ODC$ $=28^{\circ}$ and $\angle AOD =64^{\circ}$; find the measure of
(i) $\angle OAD$
(ii) $\angle OCD$.
View full solution →(i) $\angle OAD$
(ii) $\angle OCD$.
In the adjoining figure, ABCD is a rectangle whose diagonals AC and BD intersect at O . If $\angle AOB =110^{\circ}$, find the measure of : (i) $\angle ODA$ and (ii) $\angle OCD$.
View full solution →In the adjoining figure, ABCD is a rhombus in which $\angle BAC =40^{\circ}$. Find the measures of :
(i) $\angle ACB$
(ii) $\angle ABC$
(iii) $\angle ADC$
(iv) $\angle ACD$
(v) $\angle CAD$
View full solution →(i) $\angle ACB$
(ii) $\angle ABC$
(iii) $\angle ADC$
(iv) $\angle ACD$
(v) $\angle CAD$
If the diagonals of a quadrilateral are perpendicular to each other, it is definitely a rhombus.
If one pair of opposite angles of a quadrilateral are equal, it must be a parallelogram.
If the diagonals of a quadrilateral bisect each other, it must be a parallelogram.
Every rhombus is a square.
Diagonals of a rhombus are equal and perpendicular to each other.
A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measures is a __________.
In a rhombus __________ angles are equal.
If a parallelogram is both, a rectangle and a rhombus, it is a __________.
In a square $ABCD , AB =(2 x+3) cm$ and $BC =(3 x-5) cm$. Then the value of $x$ is __________.
View full solution →The adjacent angles of a parallelogram are __________.
In the figure, ABCD is a square. It is cut along XY to get two pieces ADXY and BCXY . For the quadrilateral ADXY :
(i) the lengths of diagonals are equal
(ii) the diagonals are perpendicular to each other.
(i) the lengths of diagonals are equal
(ii) the diagonals are perpendicular to each other.
- ✓only (i) is correct
- Bonly (ii) is correct
- Cboth are correct
- Dwe cannot comment anything from the given information
Answer: A.
View full solution →If two adjacent angles of a parallelogram are $(5 x-10)^{\circ}$ and $(x+10)^{\circ}$, then the ratio of these angles is
- A$3: 2$
- B$5: 1$
- C$5: 4$
- ✓$7: 2$
Answer: D.
View full solution →Mahima joined four similar right triangles to get a quadrilateral PQRS, as shown. Quadrilateral PQRS may be:
- Aa rectangle
- Bsquare and rhombus both
- ✓rhombus but not a square
- Da parallelogram, which is not a rhombus, square or rectangle
Answer: C.
View full solution →The angles A, B, C and D of a quadrilateral ABCD are in the ratio 1:3:7:9. Then ABCD is a
- Aparallelogram
- Bkite
- ✓trapezium with $A B \| C D$
- Dtrapezium with $BC \| AD$
Answer: C.
View full solution →A quadrilateral windowframe has one of its diagonals longer than the other. What would be the shape of this windowframe?
- ASquare
- BRectangle
- ✓Parallelogram
- DAll the above
Answer: C.
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