The lengths of the diagonals of a rhombus are $16\ cm$ and $12\ cm.$ The length of each side of the rhombus is:
- A$8\ cm$
- B$9\ cm$
- ✓$10\ cm$
- D$12\ cm$
Answer: C.
View full solution →Question types
Parallelograms question types
48 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
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Sample Questions
Parallelograms questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The two diagonals are not necessarily equal in a:
- ARectangle.
- BSquare.
- ✓Rhombus.
- DIsosceles trapezium.
Answer: C.
View full solution →If an angle of a parallelogram is two-thirds of its adjacent angle, the smallest angle of the parallelogram is:
- A$54^\circ$
- ✓$72^\circ$
- C$81^\circ$
- D$108^\circ$
Answer: B.
View full solution →The length and breadth of a rectangle are in the ratio $4 : 3.$ If the diagonal measures $25\ cm$ then the perimeter of the rectangle is:
- A$56\ cm$
- B$60\ cm$
- ✓$70\ cm$
- D$80\ cm$
Answer: C.
View full solution →Two adjacent angles of a parallelogram are $(2x + 25)^\circ $ and $(3x - 5)^\circ $. The value of $x$ is:
- A$28$
- ✓$32$
- C$36$
- D$42$
Answer: B.
View full solution →The sides of a rectangle are in the ratio $5 : 4$ and its perimeter is $90\ cm$. Find its length and breadth.
View full solution →Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?
In the given figure $ABCD$ is a square. Find the measure of $\angle\text{CAD}.$
View full solution →The lengths of the diagonals of a rhombus are $16\ cm$ and $12\ cm$ respectively. Find the length of each of its sides.
View full solution →In the adjacent figure, $ABCD$ is a rectangle. If $BM$ and $DN$ are perpendiculars from $B$ and $D$ on $AC$, prove that $\triangle\text{BMC}\cong\triangle\text{DNA}.$ Is it true that $BM = DN$?
View full solution →Two adjacent angles of a parallelogram are in the ratio $4 : 5$. Find the measure of each of its angles.
View full solution →$ABCD$ is a parallelogram in which $\angle\text{A}=110^\circ.$ Find the measure of each of the angles $\angle\text{A},\angle\text{B}$ and $\angle\text{D.}$
View full solution →In the adjacent figure, $ABCD$ is a parallelogram and line segments $AE$ and $CF$ bisect the angles $A$ and $C$ respectively. Show that $AE\ ||\ CF$.
View full solution →Which of the following statements are true and which are false? The diagonals of a parallelogram are equal.
Name of the following parallelogram.
All the sides are equal and one angle is $90^\circ .$
View full solution →All the sides are equal and one angle is $90^\circ .$
Which of the following statements are true and which are false?
The diagonals of a rectangle are perpendicular to each other.
The diagonals of a rectangle are perpendicular to each other.
Name of the following parallelogram. All the sides are equal and one angle is $60^\circ .$
View full solution →Name of the following parallelogram. The diagonals are equal and the adjacent sides are equal.
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