## Lakshya Education MCQs

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)=1805x+10+120=1805x=1801305x=50x=10
Also, opposite angles are equal in a parallelogram.
Therefore, 6y=120y=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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