Questions: Can you show that this quadrilateral is a parallelogram?

Can you show that this quadrilateral is a parallelogram?
Transcript text: Can you show that this quadrilateral is a parallelogram?
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Solution

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Solution Steps

Step 1: Identify the Given Information

The quadrilateral has diagonals that intersect each other. The diagonals are divided into segments of equal lengths: 13 and 14 units.

Step 2: Apply the Properties of a Parallelogram

A quadrilateral is a parallelogram if its diagonals bisect each other. This means that each diagonal is divided into two equal parts by the point of intersection.

Step 3: Verify the Diagonal Bisection

In the given quadrilateral, the diagonals are divided into segments of equal lengths:

  • One diagonal is divided into two segments of 13 units each.
  • The other diagonal is divided into two segments of 14 units each.

Since both diagonals are bisected into equal segments, this confirms that the diagonals bisect each other.

Final Answer

Yes, the quadrilateral is a parallelogram.

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