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The diagonals of a rhombus:A) Are equal and bisect each other at right anglesB) Are unequal and do not bisect each other at right anglesC) Are unequal and bisect each other at right anglesD) Are equal and do not bisect each other at right angles

Question

The diagonals of a rhombus:A) Are equal and bisect each other at right anglesB) Are unequal and do not bisect each other at right anglesC) Are unequal and bisect each other at right anglesD) Are equal and do not bisect each other at right angles

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Solution

The correct answer is A) The diagonals of a rhombus are equal and bisect each other at right angles.

Here's why:

  1. A rhombus is a type of parallelogram where all four sides are of equal length.

  2. The diagonals of a rhombus are lines connecting opposite corners of the shape.

  3. These diagonals are not equal in length. This is a unique property of a rhombus and differentiates it from a square (which is a rhombus with equal diagonals).

  4. The diagonals of a rhombus do bisect each other, meaning they cut each other in half. This is a property of all parallelograms, which includes rhombuses.

  5. The point where the diagonals bisect each other is the center of the rhombus.

  6. The diagonals of a rhombus bisect each other at right angles, meaning they form a 90-degree angle where they intersect. This is another unique property of a rhombus.

So, the statement "The diagonals of a rhombus are equal and bisect each other at right angles" is incorrect. The diagonals of a rhombus are not equal in length, but they do bisect each other at right angles.

This problem has been solved

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