Question

Plot the following points in a graph. (4,2) (6,0) (4,6) (6,4).
Join these points and identify the figure formed.
a) Rectangle
b) Square
c) Rhombus
d) Parallelogram

Answer 1

Solution :

Let us name the points with the corresponding vertices .

A → ( 4, 2 )

B → ( 6, 0 )

C → ( 4, 6 )

D → ( 6, 4 )

The figure formed will be that of a parallelogram .

Hence, Option ( D ) is the correct option.

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Additional Information -

Properties of a parallelogram :

• Opposite sides and angles of a parallelogram are equal and congruent .

• The diagonals of a parallelogram bisect each other .

• Diagonals of a parallelogram divides it into two congruent triangles.

• A parallelogram has 4 sides and 4 vertices .

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Answer 2

The figure thus formed is a d)Parallelogram.

Step-by-step explanation:

• The following diagram shows the parallelogram formed by joining the points on a graph.

• The figure(PQRS) thus formed is a d)Parallelogram. This is because it has opposite sides which are equal and parallel.

• The opposite angles are also equal and the sum of all angles is 360 degrees.

Incorrect options

• The polygon is not a)rectangle because the angles are not 90 degrees.
• b) Square has all the sides equal.
• c) Rhombus has all its sides equal and the angle formed at the centre is 90 degrees.

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