Question

1) State with reasons.
a) Every rhombus is rectangle.
b) Every square is a rhombus.
c) Every parallelogram is a rhombus.​

Answer 1

1. Reason: In a rhombus, only the opposite angles are equal, and the adjacent sides are not perpendicular to each other. The angles are not 90 degrees. Therefore, the statement is False.
2. Reason: A quadrilateral is a rhombus, if all of its sides are equal. In a square, all sides are equal. Hence every square is a rhombus.
3. Reason: This is false since a parallelogram, in general, does not have all its sides equal. Only the opposite sides of a parallelogram are equal. However, a rhombus has all its sides equal. So, every parallelogram cannot be a rhombus, except those parallelograms that have all equal sides.

Answer 2

Answer:

Only the opposite side of a parallelogram are equal.However,a rhombus has all its sides are equal. So every parallelogram cannot be a rhombus, expect those parallelogram that have all equal side.

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