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Oh, dude, proving a quadrilateral is a trapezium is like proving your favorite Pizza topping is pepperoni - it's all about those parallel sides! If one pair of opposite sides of a quadrilateral are parallel, then you've got yourself a trapezium. It's as simple as that, like deciding between Netflix or Hulu for the night.
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EzraA quadrilateral can be proven to be a trapezium if it has at least one pair of parallel sides. This can be demonstrated by showing that one pair of opposite sides are parallel through various methods such as measuring the angles or sides, using the slope formula, or applying the midpoint theorem. Additionally, the consecutive angles between the parallel sides will add up to 180 degrees.
You can prove it if you can prove that one pair of opposite sides is parallel (and, strictly speaking, that the other pair is not).
Proving that the lines are parallel depends on the information available. Thier equations may have the same slope (gradient), or that the angles at their ends are supplementary, etc.
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What is quadrilateral with 1 pair of parallel sides?
Its a trapezium.
What polygon has one set of parallel lines?
A trapezoid or, in Britain, a trapezium. Other than in Britain, a trapezium is a quadrilateral with no parallel sides at all.
What quadrilateral has no rotational symmetry?
A trapezium, a kite, an arrowhead, a quadrilateral with 4 different sides. In fact, anything other than a parallelogram (and its special cases).
How do you prove that In a quadrilateral ABCD prove that AB plus BC plus CD plus DA 2( AC plus BD )?
You cannot prove it since it is not true for a general quadrilateral.
Can a quadrilateral have each of 4 angles a different measure?
Yes, be it a common convex quadrilateral or a concave quadrilateral. For a convex quadrilateral, the most obvious example is a irregular trapezium, where the upper base and the lower base are of different length, and the slanted sides are of different length. It is similar for a concave quadrilateral.
