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Mathematics

Statement I: Every rhombus is a parallelogram.

Statement II: The opposite sides of a parallelogram, as well as a rhombus, are parallel to each other.

  1. Statement I is true but statement II is false.

  2. Statement I is false but statement II is true.

  3. Both Statement I and statement II are true.

  4. Both Statement I and statement II are false.

Quadrilaterals

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Answer

Statement I:

A rhombus is a parallelogram with two adjacent sides equal (in fact, all sides equal). So every rhombus is a parallelogram.

∴ Statement I is true.

Statement II:

In a parallelogram, both pairs of opposite sides are parallel. Since a rhombus is a parallelogram, the same is true for a rhombus.

∴ Statement II is true.

Both statements are true.

Hence, option 3 is the correct option.

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