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What is the difference between a parallelogram and a rectangle?

A. A parallelogram does not have 4 sides. A rectangle has 4 sides.
B. A parallelogram does not have parallel sides. A rectangle has 2 pairs of opposite sides parallel.
C. A parallelogram has 2 pairs of opposite equal angles. A rectangle has all 4 angles equal.
D. A parallelogram and a rectangle are exactly the same.

Sagot :

GinnyAnswer
Certainly! Let's compare the characteristics of a parallelogram and a rectangle to determine their differences.

1. Parallelogram Characteristics:
- A parallelogram has four sides.
- Opposite sides are equal in length.
- Opposite sides are parallel.
- Opposite angles are equal.
- Adjacent angles are supplementary (sum to 180 degrees).

2. Rectangle Characteristics:
- A rectangle has four sides.
- Opposite sides are equal in length.
- Opposite sides are parallel.
- All four angles are equal (each angle is 90 degrees).

Now, let's analyze each option based on these characteristics:

- Option A: "Parallelogram does not have 4 sides. Rectangle has 4 sides."
- This statement is incorrect. Both a parallelogram and a rectangle have 4 sides.

- Option B: "Parallelogram does not have parallel sides. Rectangle has 2 pairs of opposite sides parallel."
- This statement is incorrect. Both a parallelogram and a rectangle have pairs of opposite sides that are parallel.

- Option C: "Parallelogram has 2 pairs of opposite equal angles. Rectangle has all 4 angles equal."
- This statement is correct. In a parallelogram, opposite angles are equal, but they are not necessarily 90 degrees. In a rectangle, all four angles are equal and are exactly 90 degrees.

- Option D: "Parallelogram and rectangle are exactly the same."
- This statement is incorrect. While a rectangle is a special type of parallelogram, not all parallelograms are rectangles. Rectangles have the additional property that all angles are 90 degrees.

Hence, the correct answer is:
C. Parallelogram has 2 pairs of opposite equal angles. Rectangle has all 4 angles equal.
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