Question

which of the following is/are parallelogram a)square b)rectangle c)rhombus d)all of these​

Answer 1

Answer:

Rectangle, square and rhombus are all parallelograms as in each of these figures, both the pairs of opposite sides are equal and parallel. When an angle in a parallelogram measures 90 degrees (In fact, in this case all the four angles measure 90 degrees), then such a parallelogram is called a rectangle.

Answer 2

Answer:

The correct option is d) All of these.

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of opposite sides.

A square is a quadrilateral whose sides have equal length and whose interior angles measure

90° .

From the definition, it follows that a square is a rectangle.

Consider a rectangle ABCD . The sides AB and

CD are opposite and lie on two parallel lines. In fact, if we consider the line on which AD lies, this is a transverse of the pair of lines. The internal angles in A and in D are alternate interior angles, and the sum of their measures is 90° + 90° = 180°.This means that the lines through AB and CD have to be parallel.With the same argument one proves that BC and AD lie on parallel lines, and this proves that every rectangle is a parallelogram.

Case of rhombus is also same.

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