If in a parallelogram its diagonals bisect each other and are equal then it is a,a)Squareb)Rectanglec)Rhombusd)ParallelogramCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent.

Answer

B )

because in parallelogram opposite sides are equal at it rectangle opposite sides are equal that's why

Answer

Diagonals of a Parallelogram

A parallelogram is a four-sided polygon in which opposite sides are parallel and equal in length.

Bisecting Diagonals

When the diagonals of a parallelogram bisect each other, it means that they divide each other into two equal halves. This implies that the point of intersection of the diagonals is the midpoint of each diagonal.

Equal Diagonals

If the diagonals of a parallelogram are equal in length, it means that the distance between the opposite vertices of the parallelogram is the same. This implies that the opposite sides of the parallelogram are equal in length as well.

Parallelogram Properties

A parallelogram has several properties:
- Opposite sides are parallel and equal in length.
- Opposite angles are equal.
- Diagonals bisect each other.
- Diagonals divide the parallelogram into four congruent triangles.
- The sum of the interior angles is equal to 360 degrees.

Rectangles

A rectangle is a special type of parallelogram that has additional properties:
- All angles are right angles (90 degrees).
- Opposite sides are parallel and equal in length.
- Diagonals bisect each other and are equal in length.

Explaining the Answer

In the given question, the parallelogram is described as having diagonals that bisect each other and are equal in length.

Based on the properties mentioned above, we can conclude that the parallelogram in question is a rectangle. This is because a rectangle satisfies all the properties of a parallelogram, including the bisecting and equal diagonals.

Therefore, the correct answer is option 'B' - Rectangle.

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