Lakshya Education MCQs

  1. Topics
  2. 8th Grade
  3. Mathematics
  4. Understanding Quadrilaterals
Question:

Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
Options:

:
Steps of Construction
Step I Draw AB = 4 cm.
Step II With A as centre and radius 2.8 cm, draw an arc.
Step III With B as centre and radius 3.5 cm, draw another arc, cutting the previous arc at O.
Step IV Join OA and OB.
Step V Produce AO to C such that OC = AO and produce BO to D such that OD = BD.
Step VI Join AD, BC and CD.
Thus, ABCD is the required parallelogram.
and other side = 5 cm.

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More Questions on This Topic :

Question 1.

Which of the following figures do not satisfy any of the following properties?

- All sides are equal.

-All angles are right angles.

-Opposite sides are parallel.














: On observing the above figures, we conclude that the figure P does not any satisfy any of the given properties.
Question 2.

A quadrilateral can have all four angles as obtuse.

: False
If all angles are obtuse, then their sum will exceed 360∘. This is not possible in case of a quadrilateral.
Question 3.



Find the values of x and y in the following parallelogram.


: In a parallelogram, adjacent angles are supplementary.
∴120∘+(5x+10)∘=180∘⇒5x+10∘+120∘=180∘⇒5x=180∘−130∘⇒5x=50∘⇒x=10∘
Also, opposite angles are equal in a parallelogram.
Therefore, 6y=120∘⇒y=20∘
Question 4.

For which of the following, diagonals are equal?

a) Trapezium

b) Rhombus

c) Parallelogram

d) Rectangle

: By the property of a rectangle, we know that its diagonals are equal.
Question 5.

Which of the following can be four interior angles of a quadrilateral?

a) 140∘,40∘,20∘,160∘

b) 270∘,150∘,30∘,20∘

c) 40∘,70∘,90∘,60∘

d) 110∘,40∘,30∘,180∘

: We know that the sum of interior angles of a quadrilateral is 360∘
Thus, the angles in option (a) can be four interior angles of a quadrilateral as their sum is 360∘.
Question 6.

The diagonals of the quadrilateral DEFG are ___ and ___.

:
The diagonals are GE and FD.

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