Prove that if all the sides of a parallelogram are equal, then it is a rhombus
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Given :
A parallelogram with sides.
To prove :
If all the sides of a parallelogram are equal, then it is a rhombus.
Step-by-step explanation:
- A parallelogram can be proved as a rhombus only by following these steps.
- It is known as opposite angles of parallelograms are equal.
- If opposite angles are equal, then the sides are also equal.
- If the sides of a parallelogram are equal, then it is rhombus.
Final answer :
It is proved that if all the sides of a parallelogram are equal, then it is a rhombus.
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