$\text{ABCD}$ is a parallelogram and $E$ is the mid $-$ point of $BC. DE$ and $AB$ when produced meet at $F$. Then $,AF =$
- A$\frac{3}{2}\text{AB}$
- ✓$2\text{AB}$
- C$3\text{AB}$
- D$\frac{5}{4}\text{AB}$
Answer: B.
View full solution →Question types
Quadrilaterals question types
111 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
111
Questions
6
Question groups
5
Question types
01
MCQ(1M)
32 Q→02Fill in the Blanks.
11 Q→03True False With Reason
8 Q→042 Mark Question
8 Q→053 Mark Question
15 Q→064 Mark Question
37 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.
In a parallelogram $\text{ABCD},$ if $\angle\text{DAB}=75^\circ$ and $\angle\text{DBC}=60^\circ,$ then $\angle\text{BDC}=$
- A$75^\circ$
- B$60^\circ$
- ✓$45^\circ$
- D$55^\circ$
Answer: C.
View full solution →The figure formed by joining the mid $-$ points of the adjacent sides of a quadrilateral is a:
- ✓Prallelogram.
- BRhombus.
- CRectangle.
- DSquare.
Answer: A.
View full solution →In a rhombus $\text{ABCD},$ if $\angle\text{ACB}=40^\circ,$ then $\angle\text{ADB}=$
- A$70^\circ$
- B$45^\circ$
- ✓$50^\circ$
- D$60^\circ$
Answer: C.
View full solution →If an angle of a parallelogram is two $-$ third of its adjacent angle, the smallest angle of the parallelogram is:
- A$108^\circ$
- B$54^\circ$
- ✓$72^\circ$
- D$81^\circ$
Answer: C.
View full solution →Complete the following statements by means of one of those given in brackets against each:
If one pair of opposite sides are equal and parallel, then the figure is _____________. (parallelogram, rectangle, trapezium).
If one pair of opposite sides are equal and parallel, then the figure is _____________. (parallelogram, rectangle, trapezium).
Complete the following statements by means of one of those given in brackets against each:
If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is _____________. (square, rectangle, trapezium).
If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is _____________. (square, rectangle, trapezium).
Fill in the blanks to make the following statements correct:
The figure formed by joining the mid-points of consecutive sides of a quadrilateral is ____________.
The figure formed by joining the mid-points of consecutive sides of a quadrilateral is ____________.
Fill in the blanks to make the following statements correct:
The triangle formed by joining the mid-points of the sides of an isosceles triangle is ____________.
The triangle formed by joining the mid-points of the sides of an isosceles triangle is ____________.
Complete the following statements by means of one of those given in brackets against each:
If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a _________. (rectangle, parallelogram, rhombus).
If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a _________. (rectangle, parallelogram, rhombus).
Which of the following statements are true (T) and which are false (F)?
If all the angles of a quadrilateral are equal, it is a parallelogram.
If all the angles of a quadrilateral are equal, it is a parallelogram.
Which of the following statements are true (T) and which are false (F)?
In a parallelogram, the diagonals intersect each other at right angles.
In a parallelogram, the diagonals intersect each other at right angles.
Which of the following statements are true (T) and which are false (F)?
In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
Which of the following statements are true (T) and which are false (F)?
In a parallelogram, the diagonals are equal.
In a parallelogram, the diagonals are equal.
Which of the following statements are true (T) and which are false (F)?
If three sides of a quadrilateral are equal, it is a parallelogram.
If three sides of a quadrilateral are equal, it is a parallelogram.
In a parallelogram ABCD, if $\angle\text{D} = 115^\circ,$ then write the measure of $\angle\text{A.}$
View full solution →ABCD is a rectangle with $\angle\text{ABD}=40^\circ$. Determine $\angle\text{DBC}$.
View full solution →In a parallelogram ABCD, write the sum of angles A and B.
The sides AB and CD of a parallelogram ABCD are bisected at E and F. prove that EBFD is a parellelogram.
In a parallelogram ABCD, determine the sum of angles $\angle\text{C}$ and $\angle\text{D}$.
View full solution →In a parallelogram ABCD, $\angle \text{D}=135^\circ$. Determine the measures of $\angle\text{A}$ and $\angle\text{B}$.
View full solution →If the angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, then find the measure of the smallest angle.
Find the measure of all the angles of a parallelogram, if one angle is 24° less than twice the smallest angle.
In figure, ABCD and PQRC are rectangles and Q is the mid-point of AC. Prove that
View full solution →- DP = PC
- $\text{PR}=\Big(\frac{1}{2}\Big)\text{AC}$
Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.
In the given figure, ABCD and AEFG are two parallelograms. If $\angle\text{C}= 58^\circ,$ find $\angle\text{F}.$
View full solution →In a $\triangle\text{ABC},$ BM and CN are perpendiculars from B and C respectively on any line passing through A. If L is the mid-point of BC, prove that ML = NL.
View full solution →ABCD is a kite having AB = AD and BC = CD. Prove that the figure found by joining the mid points of the sides, in order, is a rectangle.
In a triangle, P, Q and R are the mid points of sides BC, CA and AB respectively. If AC = 21cm, BC = 29cm and AB = 30cm, find the perimeter of the quadrilateral ARPQ.
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
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