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Which of the following is a property of a rectangle?
- a)All Sides Are Equal
- b)Opposite Sides Are Equal
- c)Only One Angle Is 90°
- d)It Has No Diagonals
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following is a property of a rectangle?a)All Sides Are Eq...
Answer: B) Opposite Sides Are Equal
Solution:
A rectangle is a quadrilateral where:
A rectangle is a quadrilateral where:
- Opposite sides are equal and parallel.
- All angles are 90 degrees (right angles).
- It has two diagonals that bisect each other.
Thus, "Opposite Sides Are Equal" is the correct property of a rectangle.
Most Upvoted Answer
Which of the following is a property of a rectangle?a)All Sides Are Eq...
Understanding Rectangle Properties
A rectangle is a specific type of quadrilateral that has distinct properties. Among the options given, the correct property of a rectangle is that opposite sides are equal. Here’s a detailed breakdown of this property and why the other options are incorrect.
Key Property of a Rectangle
- Opposite Sides Are Equal: In a rectangle, the lengths of the opposite sides are always equal. This means if one side measures, for example, 5 units, the side directly opposite it will also measure 5 units. Similarly, the other two sides will also be equal to each other.
Why Other Options Are Incorrect
- All Sides Are Equal: This property describes a square, not a rectangle. A rectangle can have unequal adjacent sides (like 5 units and 3 units).
- Only One Angle Is 90°: This is false as all four angles in a rectangle are 90°. This is a defining characteristic of rectangles.
- It Has No Diagonals: This statement is incorrect. Rectangles do have diagonals, which are equal in length and bisect each other.
Conclusion
In summary, the defining property of a rectangle is that opposite sides are equal. Understanding these fundamental characteristics will help in identifying and working with rectangles in geometry. Always remember that while rectangles have specific features, they differ from other shapes like squares and trapezoids.
A rectangle is a specific type of quadrilateral that has distinct properties. Among the options given, the correct property of a rectangle is that opposite sides are equal. Here’s a detailed breakdown of this property and why the other options are incorrect.
Key Property of a Rectangle
- Opposite Sides Are Equal: In a rectangle, the lengths of the opposite sides are always equal. This means if one side measures, for example, 5 units, the side directly opposite it will also measure 5 units. Similarly, the other two sides will also be equal to each other.
Why Other Options Are Incorrect
- All Sides Are Equal: This property describes a square, not a rectangle. A rectangle can have unequal adjacent sides (like 5 units and 3 units).
- Only One Angle Is 90°: This is false as all four angles in a rectangle are 90°. This is a defining characteristic of rectangles.
- It Has No Diagonals: This statement is incorrect. Rectangles do have diagonals, which are equal in length and bisect each other.
Conclusion
In summary, the defining property of a rectangle is that opposite sides are equal. Understanding these fundamental characteristics will help in identifying and working with rectangles in geometry. Always remember that while rectangles have specific features, they differ from other shapes like squares and trapezoids.
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