In a parallelogram, opposite sides are:a)Unequal and parallelb)Equal and perpendicularc)Equal and paralleld)Unequal and perpendicularCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

- Equal: Opposite sides of a parallelogram have the same length.

- Parallel: Opposite sides of a parallelogram run parallel to each other.

These properties ensure that the figure maintains its shape and symmetry, characteristic of parallelograms. Therefore, the correct answer is C: Equal and parallel.

Answer

The answer is 3 as the diagonals in re

Answer

2x+4 = 3x+1 transfer the common terms

Answer

Understanding Parallelograms
A parallelogram is a special type of quadrilateral that has distinct properties, particularly concerning its sides and angles.
Properties of Opposite Sides
In any parallelogram:
- Opposite sides are equal: This means that each pair of opposite sides has the same length. For example, if one side measures 5 units, the side directly across from it will also measure 5 units.
- Opposite sides are parallel: This means that the opposite sides never intersect and are always the same distance apart. They run in the same direction.
Why Option C is Correct
The correct answer to the question regarding opposite sides of a parallelogram is:
- Equal and parallel (Option C): This accurately describes the characteristics of both pairs of opposite sides in a parallelogram.
Other Options Explained
- Option A (Unequal and parallel): This is incorrect because, in a parallelogram, opposite sides must be equal.
- Option B (Equal and perpendicular): While sides can be equal, they are not necessarily perpendicular unless the parallelogram is a rectangle or square.
- Option D (Unequal and perpendicular): This option is also incorrect as it contradicts the fundamental property of opposite sides being equal in a parallelogram.
Conclusion
In summary, the defining features of a parallelogram ensure that opposite sides are both equal in length and parallel to each other, making option C the only correct choice. Understanding these properties is essential for recognizing and working with parallelograms in geometry.

Answer

Answer is 3

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