Shown below is the quadrilateral ABCD.
AB = 15 and CD = 13.
BD = 6 and AC = 4
Is it possible to conclude that this quadrilateral is a parallelogram?
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Shown below is the quadrilateral ABCD.
AB = 15 and CD = 13.
BD = 6 and AC = 4
Is it possible to conclude that this quadrilateral is a parallelogram?
According to the properties of a parallelogram, each pair of opposite sides are parallel and equal to each other.
Since the data shows that each pair of sides are not equal to each other, the quadrilateral is not a parallelogram.
No.
Shown below is the quadrilateral ABCD.
AB = 15 and CD = 13.
BD = 6 and AC = 4
Is it possible to conclude that this quadrilateral is a parallelogram?
In quadrilateral ABCD, the opposite sides are: AB opposite to CD, and BC opposite to AD. Think of it like corners of a rectangle - sides that don't share a vertex are opposite!
That's not enough for a parallelogram! You need both pairs of opposite sides to be equal and parallel. One pair being equal might make it a trapezoid instead.
The diagonals AC = 4 and BD = 6 are given information, but for basic parallelogram verification, we focus on opposite sides being equal. Diagonals help with other properties!
Possibly! Even though it's not a parallelogram, it could be a trapezoid (one pair of parallel sides) or just a general quadrilateral. We'd need more information about angles or parallel relationships.
Great question! Always trace around the quadrilateral in order: A→B→C→D→A. Then AB is opposite to CD, and BC is opposite to AD. Drawing arrows can help visualize this!
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