Question types

Quadrilaterals question types

55 questions across 8 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

55
Questions
8
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.

In the adjoining figure, L and M are points on the sides PQ and PR respectively, of $\triangle PQR$ such that LM || QR. What special name would you give to the quadrilateral LQRM?
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Q 11[3 marks sum]3 Marks
Let $A B C D$ be a parallelogram. What special name would you give it, when :
(i) $AB = AD$ ?$\quad$(ii) $\angle ABC =90^{\circ}$ ?$\quad$(iii) $AB = AD$ and $\angle ABC =90^{\circ}$ ?
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Q 12[3 marks sum]3 Marks
In the adjoining figure, P is a point in the interior of $\angle AOB$. If $PL \perp OA$ and $PM \perp OB$ and $\angle AOB =40^{\circ}$, find the measure of $\angle LPM$.
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Q 13[4 marks sum]4 Marks
The perimeter of a parallelogram is 88 cm and one of its adjacent sides is longer than the other by 10 cm. Find the length of each of its sides.
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Q 15[4 marks sum]4 Marks
Two angles of a quadrilateral are of measures $75^{\circ}$ and $117^{\circ}$ respectively and the other two angles are equal. Find the measure of each of the equal angles.
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Q 16[4 marks sum]4 Marks
Three angles of a quadrilateral are equal and the fourth angle measures $120^{\circ}$. What is the measure of each of the equal angles?
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Q 27[5 marks sum]5 Marks
In the adjoining figure, PQRS is a quadrilateral:
Name a pair of its adjacent sides.
Name a pair of its opposite sides.
Name a pair of its adjacent angles.
Name a pair of its opposite angles.
Name its diagonals.
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Q 28MCQ1 Mark
A square has
  • A
    all sides equal and diagonals
  • all sides equal and diagonals equal
  • C
    all sides unequal and diagonals unequal
  • D
    none of these

Answer: B.

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Q 29MCQ1 Mark
A rhombus has
  • all sides equal and diagonals unequal
  • B
    all sides equal and diagonals equal
  • C
    all sides unequal and diagonals unequal
  • D
    none of these

Answer: A.

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Q 30MCQ1 Mark
If the diagonals of a quadrilateral bisect each other at right angles, then this quadrilateral is
  • A
    a rectangle
  • a rhombus
  • C
    a kite
  • D
    none of these

Answer: B.

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Q 31MCQ1 Mark
An isosceles trapezium has
  • A
    equal parallel sides
  • equal non-parallel sides
  • C
    equal opposite sides
  • D
    none of these

Answer: B.

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Q 32MCQ1 Mark
A quadrilateral whose opposite sides are parallel, is called
  • A
    a trapezium
  • B
    a kite
  • a parallelogram
  • D
    none of these

Answer: C.

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