all trapezoids are parallelograms
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An isosceles trapezoid ( isosceles trapezium in British English) is a quadrilateral with a line of symmetry bisecting one pair of opposite sides, making it automatically a trapezoid. Some sources would qualify all this with the exception: "excluding rectangles." Two opposite sides (bases)
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Answers:Yes, all parallelograms are quadrilaterals. Yes, all rectangles are parallelograms. Yes, all squares are trapezoids. Yes, all trapezoids are quadrilaterals. (A trapezoid, is by definition, any quadrilateral with at least one pair of parallel sides). http://planetmath.org/encyclopedia/Trapezoid.html *From The Words of Mathematics by Steven Schwartzman (1994, Mathematical Association of America): trapezoid (noun); trapezoidal (adjective); trapezium, plural trapezia (noun): The Greek word trapeza "table" was composed of tetra "four" and the Indo-European root ped- "foot." A Greek table must have had four feet (= legs). The suffix -oid (q.v.) means "looking like," so that a trapezoid is a figure that looks like a table (at least in somebody's imagination). Some Americans define a trapezoid as a quadrilateral with at least one pair of parallel sides. Under that definition, a parallelogram is a special kind of trapezoid. For other Americans, however, a trapezoid is a quadrilateral with one and only one pair of parallel sides, in which case a parallelogram is not a trapezoid. The situation is further confused by the fact that in Europe a trapezoid is defined as a quadrilateral with no sides equal. Even more confusing is the existence of the similar word trapezium, which in American usage means "a quadrilateral with no sides equal," but which in European usage is a synonym of what Americans call a trapezoid. Apparently to cut down on the confusion, trapezium is not used in American textbooks. The trapeze used in a circus is also related, since a trapeze has or must once have had four "sides": two ropes, the bar at the bottom, and a support bar at the top. http://mathforum.org/dr.math/faq/formulas/faq.quad.html One last argument for the trapezoid being a quadrilateral with AT LEAST one pair of parallel sides: http://mathforum.org/library/drmath/view/54901.html
Answers:I am not in a classroom, so I can't help with the "in your classroom" part. All these shapes are found in ordinary objects. You just have to look around - learn what each shape looks like, then look around or think what looks like that. For example, the monitor of a computer is a rectangle - so is a cell phone.
Answers:1) A parallelogram is a 4 sided polygon where the opposite sides are equal. Trapezoids are the only shapes in the first list that don't satisfy the condition. Trapezoid 2) A rectangle is the only shape that satisfies the question. This is because all of the corners are at 90 degree angles and the opposite sides are congruent. Rectangle