Two parallelograms stand on same base and between the same parallels. The ratio of their areas is:
- A3 : 1
- B2 : 1
- C1 : 1
- D1 : 2
Question types
Quadrilaterals question types
355 questions across 8 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
355
Questions
8
Question groups
5
Question types
01
M.C.Q
220 Q→02Fill In The Blanks[1 Marks ]
4 Q→03True False[1 Marks ]
6 Q→04Match the Following.
2 Q→052 Marks Questions
6 Q→063 Marks Question
11 Q→074 Marks Questions
98 Q→08Case study (4 Marks)
8 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.
If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10, what is the sum of the measures of the smallest angle and largest angle?
- A140°
- B150°
- C168°
- D180°
Write the correct answer in the following:
The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is:
The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is:
- AA rhombus.
- BA rectangle.
- CA square.
- DAny parallelogram.
The length of each side of a rhombus is 10cm and one of its diagonal is of length 16cm. The Length of the other Diagonal is:
- A12cm
- B13cm
- C5cm
- D6cm
One Angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
- A84º, 84º, 84º
- B90º, 84º, 90º
- C90º, 90º, 84º
- D84º, 90º, 90º
The triangle formed by joining the mid-points of the sides of an isosceles triangle is _______. (Scalene, Isosceles, Equilateral)
The figure formed by joining the mid-points of consecutive sides of a quadrilateral is _________. (Rectangle, Parallelogram, Trapezium)
If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is _______. (Parallelogram, Trapezium, Rhombus)
A line drawn from the mid-point of one side of a triangle ______ another side intersects the third side at its mid-point. (Parallel to, Perpendicular to, Equal to)
In a parallelogram, the diagonals intersect each other at right angles.
If three sides of a quadrilateral are equal, it is a parallelogram.
In a parallelogram, the diagonals bisect each other.
In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
If all the angles of a quadrilateral are equal, it is a parallelogram.
| Column 1 | Column 2 | ||
| Q.1. | In a parallelogram ABCD, if $\angle A=5 \angle B$ then $\angle C$ =__________ | A. | 190° |
| Q.2. | In an isosceles quadrilateral ABCD, if $\angle A=\angle B-30^{\circ}$ then $\angle C$ =__________ | B. | 150° |
| C. | 75° |
| Column 1 | Column 2 | ||
| Q.1. | $\square P Q R S$ is a square. If PQ = 5, then QS =__________ | A. | 40° |
| Q.2. | In an isosceles quadrilateral ABCD if $\angle B=80^{\circ}$ then $\angle A D B$ =__________ | B. | 150° |
| C. | $5 \sqrt{2}$ |
Diagonal AC of a parallelogram ABCD bisects $\angle$A (See figure). Show that:
View full solution →- It bisects $\angle$C also.
- ABCD is a rhombus.
In $\triangle ABC$, D, E and F are respectively the mid-points of sides AB, BC and CA. Show that $\triangle ABC$ is divided into four congruent triangles by joining D, E and F.>
View full solution →Show that the diagonals of a rhombus are perpendicular to each other.
Show that each angle of a rectangle is a right angle.
If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram.
In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. Show that the line segments AF and EC trisect the diagonal BD.
ABCD is a trapezium in which AB || DC, BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F. Show that F is the mid-point of BC.
ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD respectively.
Show that :
View full solution →Show that :
- $\triangle$APB $\cong$ $\triangle$CQD
- AP = CQ.
The line segment joining the mid-points of two sides of a triangle is parallel to the third side.
If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.
In a parallelogram, opposite sides are equal.
A diagonal of a parallelogram divides it into two congruent triangles.
ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallels to BC intersects AC at D.Show that :
View full solution →- D is the mid-point of AC
- MD $\perp$ AC
- CM = MA = $\frac{1}{2}$AB
In the quadrilateral ABCD given below, ∠DAC = 90° and AB = AC = AD = DE = EB.
8. What is the value of ∠EAC?
A. 15°
B. 30°
C. 45°
D. 90°
9. Which type of quadrilateral is ABCE?
A. Rhombus
B. Kite
C. Trapezium
D. Parallelogram
10. What is the value of ∠ABE?
A. 20°
B. 30°
C. 45°
D. 60°
Atul likes to observe the stars with his telescope. He likes to track the movements of stars in the sky.
He took a picture of the night sky one day. On that day, Mars was equidistant from Saturn and Jupiter.
He took a picture of the night sky one day. On that day, Mars was equidistant from Saturn and Jupiter.
He draws a circle such that the dots showing the planets Mars (M), Jupiter (J), Saturn (S) and a star Altair (A) lies on the boundary of a circle and ∠SMJ = 150°.
1. What is the measure of ∠SAJ?
A. 30°
B. 45°
C. 150°
D. 210°
2. Atul claims that the quadrilateral MJAS is a kite.
What additional information is required to conirm his claim?
A. Distance between Altair and Saturn is equal to the distance between Mars and Jupiter.
B. Distance between Altair and Jupiter is equal to the distance between Mars and Saturn.
C. Distance between Altair and Saturn is equal to the distance between Altair and Mars.
D. Distance between Altair and Saturn is equal to the distance between Altair and Jupiter.
3. The adjacent sides of quadrilateral A are equal to corresponding sides of Quadrilateral B. All angles of Quadrilateral A measure 90°. The angles of Quadrilateral B are 120°, 60°, 120° and 60° respectively.
Which quadrilateral has a greater area? Give reasons.
4. Sanya has a triangular piece of land. She wants to divide it into four equal areas. Suggest a way to do so.
5. Does joining four distinct points always produce a quadrilateral? Justify your answer.
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