The sides of a rectangle are in the ratio 5 : 4 and its perimeter is 90cm. Find its length and breadth.
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Parallelograms question types
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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.
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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 16cm and 12cm respectively. Find the length of each of its sides.
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.
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.
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 →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 $25cm$ 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 →Which of the following statements are true and which are false?
The diagonals of a parallelogram are equal.
The diagonals of a parallelogram are equal.
Name of the following parallelogram.
All the sides are equal and one angle is 90°.
All the sides are equal and one angle is 90°.
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°.
All the sides are equal and one angle is 60°.
Name of the following parallelogram.
The diagonals are equal and the adjacent sides are equal.
The diagonals are equal and the adjacent sides are equal.
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