State with reasons whether the following statements are 'true' or 'false'.
a) Every rectangle is a parallelogram.
b) Every parallelogram is a rectangle.
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8
Answer:
1)false
2)true
Step-by-step explanation:
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a) Every rectangle is a parallelogram.
Ans. True
Reason :
- Every rectangle is a parallelogram, Because :
- Every rectangle has opposite sides equal.
- Every rectangle has opposite angles are equal.
- Opposite lines are parallel to each other .
- The diagonals of rectangle bisects each other.
b) Every parallelogram is a rectangle.
Ans. False
Reason :
- Not every parallelogram is a rectangle.
- If a parallelogram has four right angles , Only then it's a rectangle.
- Diagonals of Parallelogram are not equal.
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