Choose the correct statements from the following:
Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas.
Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters.
Statement 3: Of all the parallelograms having same base and lying between same parallels, rectangle will have the smallest perimeter.
Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.
Choose the correct statements from the following:
Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas.
Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters.
Statement 3: Of all the parallelograms having same base and lying between same parallels, rectangle will have the smallest perimeter.
Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.
The correct option is B 1, 2
Statement 1is correct because base is same and height is also same since they are between same parallel lines. This makes the area (base × height) same.
Statement 2 is incorrect because though one pair of sides are of same lengths, the other pairs’ lengths may vary.
Statement 3 is correct because a rectangle will have the smallest perimeter of all. Try to think and figure it out.
Statement 4 is incorrect because two parallelograms having equal areas may be such that base and height of one is equal to height and base of another respectively. They may have different bases and may lie between same or different parallel lines.
1, 2
Statement 1is correct because base is same and height is also same since they are between same parallel lines. This makes the area (base × height) same.
Statement 2 is incorrect because though one pair of sides are of same lengths, the other pairs’ lengths may vary.
Statement 3 is correct because a rectangle will have the smallest perimeter of all. Try to think and figure it out.
Statement 4 is incorrect because two parallelograms having equal areas may be such that base and height of one is equal to height and base of another respectively. They may have different bases and may lie between same or different parallel lines.
