can an isosceles trapezoid be a parallelogram?
552905
The AREA of an isosceles triangle is found by taking 1/2 the sum of the long and short parallel sides, times the height. One way to compare this with the parallelogram is to take two copies, turn one 180 degrees and glue them along the equal (nonparallel) edges. \nYou now have a larger parallelogram - with one side composed of the sum of the original short and long parallel edges. Use the usual formula for the area of this parallelogram, then divide by 2 (since it is composed of two equal copies).
829980
No picture to be found.  \n\nAre M, N, O, P all on the same line?  \n\nIf so, NOQ is isoceles, which makes MNQ and QOP congruent angles.  Since two sides and the included angle uniquely define the third side, so MQ and QP are congruent. and MQP is isoceles.
60892
A rectangle...equillateral means all equal sides, equiangular means all equal angles\n\nthe rectangle has all equal angles, 90 degress but teh sides are different, if the sides were the same it woudl be a square\n\na rhombus has equal sides but not necessarily equal angles\n\na parallelogram does not have to have equal angles or equal sides, it needs to have to sets of equal opposite angles and equal opposite sides\n\nhope this helps!!
745336
All parallelograms have opposite sides congruent, but if all four sides are congruent, it's a rhombus.
493884
In any quadrilateral the sum of the angles is 360 degrees.  Its an axiom that has been proven.  It's similar to the axiom that all angles in a triangle add up to 180.\n\nNote: the pattern is:\n3 angles = 180\n4 angles = 360\n5 angles = 540\n6 angles = 720\n7 angles = 900\netc.\n\nAnother fact about parallelograms is that the opposite sides have the same lengths and the opposite angles have the same measure.  This also means that two consecutive angles will add up to 180 (since the other pair must be equal and the total must be 360, as noted before).
583176
A trapezoid is a 4-sided figure with one pair of parallel sides. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2.
726169
It is possible only when the given triangle is isosceles or equilateral. It's also possible for right-angled triangles but only when the given angle isn't 90 degrees.
684619
Draw a horizontal staight line to be the base of the trapezoid.\nMark a point to be a corner of the trapezoid. Label it A.\nSet your compass to the length of the base.\nMeasure that distance from the first mark and make a second mark on the line. Lable it B\n\nWithout changing the width of the compass, put the point at A and swing an arc above the line. Move the point of the compass to B and swing and arc. Lable the point where the arcs cross C.\n\nDraw the lines AC and BC. You now have an equilateral triangle. The angles are all 60 degress.\n\nSet your compass to the distance of the leg length.\nPut the point at A and swing an arc across AC. Label the intersection D.\nMove the point to B and swing an arc across BC. Label the intersection E.\nDraw the line DE.\nDone.
185652
since your ddoing coordinate geometry you should at least tell what shape you're trying to get.\nI'm assuming it's a parallelogram so u should make it (1,8)
451315
The correct answer was given above; the sum of the interior angles is 360, which is a necessary property for a shape to be able to tessellate. That this property is sufficient for quadrilaterals is shown in the source.
559255
You're best bet is to think of them as an assembly of right angle parrellelagrams. Then each parrellelagram has a volumn of base x height x width. If they are not of that shape think of them as of that shape anyway.
566727
I'm afraid that with the given information, this would be impossible to determine. The only thing one could conclude from this information is that this polygon has an even number of sides. \n\nIt could be a square with sides of 3cm each\nIt could be a hexagon with sides of 2cm each\nIt could be an octagon with sides of 1.5cm each\nIt could be a decagon with sides of 1.2cm each\nIt could be a 12-gon with sides of 1cm each\n\nThe list is infinite unless you are given more specific information, such as the length of each side or the angles within the shape.
903586
A trapezoid can be constructed so it has only 2 right angles.
36413
The previous answers are either wrong/incomplete/mischievious.\nFirstly there is nothing called parallel angles! You probably meant to ask what happens if the angles of two triangles are same. In that case there is no congruence/similarity between the two triangles.\nBut if two angles are equal betwen them, they are SIMILAR (same shape) and not congruent.\nIf in addition they have a side equal, they become congruent!
953424
Yes. Right triangles have them all the time. it's called the orthocenter i think....it's been a while since Geometry.
727013
Given the parallelogram ABCD with angle A supplementary to angle B, and angle C supplementary to angle B.\n\nSince angle A supp to angle B, then AD parallel to BC because the interior angles on the same side of the transversal are supplementary.\n\nSimilarly, since angle C supp to angle B, then AB parallel to DC because the interior angles on the same side of the transversal are supplementary.\n\nTherefore ABCD is a parallelogram by definition.\n\nQ.E.D.
249214
An equilateral parallelogram:  Rhombus\nAn equilateral and equiangular parallelogram:  Square