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.
