Question

1.Every parallelogram is a Rectangle ? justify your answer.
2. Every rectangle is a parallelogram ? Justify your answer.
3.Every square is a parallelogram ? justify your answer.
4. Every parallelogram is a square ?Justify your answer.
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Answer 1

Answer:

(1) False,

All rectangles have all the properties of parallelograms but a parallelogram may not have all the properties of a rectangle.

(a) In a rectangle all the angles are right angle but in a parallelogram only opposite angles are equal.

(b) In a rectangle the diagonals are equal but in a parallelogram diagonals are not equal.

(2) True, Every rectangle is a parallelogram. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

(3) Yes. A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides on every square are parallel, so every square is a parallelogram.

(4) No, every parallelogram is not a square. In square all the angles are equal to each other but in parallelogram only opposite angles are equal.