First draw a parallelogram. I cannot draw one here so I will have to describe the picture and you should draw it. Let ABCD be a parallelogram. I put A on the bottom left, then B on the bottom right, C on the top right and D on the top left. Of course the arguments must apply to an arbitrary parallelogram, but just so you can follow the proof, that is my drawing. Now draw a segment from A to C. It is a diagonal. AB is parallel to CD and AD is parallel to BD because a parallelogram is a quadrilateral with both pair of opposite sides parallel. Now ABC and CDA both form triangles. Let angles 1 and 4 be the angles created by the diagonal and angle BCD of the parallelogram. Angle 1 is above and angle 4 is below. Similarly, let angles 3 and 2 be created by the intersection of the diagonal and angle DAB or the original parallelogram. Now angles 1 and 2 are congruent as are 3 and 4 because if two parallel lines are cut by a transversal, the alternate interior angles are congruent. Next using the reflexive property AC is congruent to itself. Now triangle ABC is congruent to triangle CDA by Angle Side Angle (SAS). This means that AB is congruent to CD and BC is congruent to AD by corresponding parts of congruent triangles are congruent (CPCTC). So we are done!
A trapezium has only one pair of parallel sides. A parallelogram has two pair of parallel sides. A rhombus is an equilateral parallelogram - that is, a parallelogram with equal sides.
ya
It cannot. A trapezium is a quadrilateral that has one pair of parallel but unequal sides and another pair of non-parallel sides. A parallelogram has two pairs of parallel and equal sides.
It could be an arrowhead.
a parallelogram
A trapezium has only one pair of parallel sides. A parallelogram has two pair of parallel sides. A rhombus is an equilateral parallelogram - that is, a parallelogram with equal sides.
ya
Thats impossible and its a parallelogram either way
It cannot. A trapezium is a quadrilateral that has one pair of parallel but unequal sides and another pair of non-parallel sides. A parallelogram has two pairs of parallel and equal sides.
It could be an arrowhead.
Both a parallelogram and the trapezoid are quadrilaterals (meaning they both have 4 sides). However, in a parallelogram, both pairs of opposite sides are parallel and equal. But in a trapezoid, only one pair of sides are parallel, and the other pair are not).
a parallelogram
Yes. If a pair of opposite sides are not equal, then you don't have a parallelogram.
No. A trapezoid is a 4-sided polygon with one pair of parallel sides. A parallelogram with 4 equal sides is a rhombus. (A parallelogram with 4 equal sides and 4 right angles is a square, which is a special case of a rhombus.)
All four sides of a rhombus are the same length. In a parallelogram there are two pairs of sides with equal lengths but one pair is different from the other pair.
A parallelogram.
That quadrilateral is known as a 'parallelogram'.