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 the same base and lying between same parallels, the 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 the same base and lying between same parallels, the 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 1: All the parallelograms having the same base and lying between the same parallels have equal areas.
Reason: This is because the base and height are same since they are between same parallel lines. This makes the area (base × height) same.
Statement 2: All the parallelograms having the same base and lying between the same parallels have same perimeters.
Reason: This is because though one pair of sides is of the same lengths, the other pairs lengths vary.
Statement 3: Of all the parallelograms having the same base and lying between the same parallels, the rectangle will have the smallest perimeter.
Reason: The rectangle will have the smallest perimeter of all. Try to think and figure it out.
Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.
Reason: Two parallelograms having equal areas may be such that the 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 1: All the parallelograms having the same base and lying between the same parallels have equal areas.
Reason: This is because the base and height are same since they are between same parallel lines. This makes the area (base × height) same.
Statement 2: All the parallelograms having the same base and lying between the same parallels have same perimeters.
Reason: This is because though one pair of sides is of the same lengths, the other pairs lengths vary.
Statement 3: Of all the parallelograms having the same base and lying between the same parallels, the rectangle will have the smallest perimeter.
Reason: The rectangle will have the smallest perimeter of all. Try to think and figure it out.
Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.
Reason: Two parallelograms having equal areas may be such that the 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.
