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Quadrilaterals MATHS - Quadrilaterals

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - English Medium). 114 questions in this chapter.

Question types

Quadrilaterals question types

114 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

114
Questions
5
Question groups
5
Question types
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.

Q 1M.C.Q1 Mark
Three statements are given below:
  1. In a rectangle ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
  2. In a square ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
  3. In a rhombus ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
Which is true?
  1. I only
  2. II and III
  3. I and III
  4. I and II
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Q 2M.C.Q1 Mark
The figure formed by joining the mid-points of the adjacent sides of a rhombus is a:
  1. Rhombus.
  2. Square.
  3. Rectangle.
  4. Parallelogram.
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Q 3M.C.Q1 Mark
In the given figure, ABCD is a parallelogram in which $\angle\text{BDC}=45^{\circ}$ and $\angle\text{BAD}=75^{\circ}.$ Then, $\angle\text{CBD}=?$
  1. 45°
  2. 55°
  3. 60°
  4. 75°
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Q 4M.C.Q1 Mark
The length of each side of a rhombus is 10cm and one if its diagonals is of length 16cm. The length of the other diagonal is:
  1. 13cm
  2. 12cm
  3. $2\sqrt{39}\text{cm}$
  4. 6cm
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Q 5M.C.Q1 Mark
The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if:
  1. ABCD is a rhombus.
  2. Diagonals of ABCD are equal.
  3. Diagonals of ABCD are perpendicular.
  4. Diagonals of ABCD are equal and perpendicular.
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Q 82 Marks Questions2 Marks
In the adjoining figure, ABCD is a trapezium in which AB || DC. If $\angle\text{A}=55^{\circ}$ and $\angle\text{B}=70^{\circ},$ find $\angle\text{C}$ and $\angle\text{D}.$
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Q 92 Marks Questions2 Marks
In a parallelogram ABCD, points M and N have been taken on opposite sides AB and CD respectively such that AM = CN. Show that AC and MN bisect each other.
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Q 113 Marks Question3 Marks
In the adjoining figure, M is the midpoint of side BC of a parallelogram ABCD such that $\angle\text{BAM}=\angle\text{DAM}.$ Prove that AD = 2CD.
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Q 123 Marks Question3 Marks
M and N are points on opposite sides AD and BC of a parallelogram ABCD such that MN passes through the point of intersection O of its diagonals AC and BD. Show that MN is bisected at O.
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Q 145 Marks Questions5 Marks
In the adjoining figure, ABCD is a parallelogram in which $\angle\text{DAB}=80^{\circ}$ and $\angle\text{DBC}=60^{\circ}.$ Calculate $\angle\text{CDB}$ and $\angle\text{ADB}.$
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Q 155 Marks Questions5 Marks
In the adjoining figure, ABCD is a square. A line segment CX cuts AB at X and the diagonal BD at O such that $\angle\text{COD}=80^{\circ}$ and $\angle\text{OXA}=\text{x}^{\circ}.$ Find the value of x.
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Q 185 Marks Questions5 Marks
In the given figure, ABCD is a square and $\angle\text{PQR}=90^{\circ}.$ If PB = QC = DR, prove that:
  1. QB = RC,
  2. PQ = QR,
  3. $\angle\text{QPR}=45^{\circ}$
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Q 204 Marks Questions4 Marks
P , Q, R and S are respectively the midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD. Show that:
  1. PQ || AC and $\text{PQ}=\frac{1}{2}\text{AC}$
  2. PQ || SR
  3. PQRS is a parallelogram.
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Q 224 Marks Questions4 Marks
In the adjoining figure, ABCD is a square and $\triangle\text{EDC}$ is an equilateral triangle. Prove that:
  1. AE = BE,
  2. $\angle\text{DAE}=15^{\circ}.$
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