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A parallelogram is a blank with[br]two sets of parallel lines.

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So let's see what[br]the options are.

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So one option is[br]a quadrilateral.

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And a parallelogram is[br]definitely a quadrilateral.

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A quadrilateral is[br]a four-sided figure,

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and it is definitely[br]a four-sided figure.

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A parallelogram is[br]not always a rhombus.

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A rhombus is a special case of a[br]parallelogram where not only do

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you have to sets[br]of parallel lines

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as your sides, two[br]sets of parallel sides,

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but all of the sides are the[br]same length in a rhombus.

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And a square is a special[br]case of a rhombus where

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all of the angles[br]are 90 degrees.

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So here, all we can say[br]is that a parallelogram

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is a quadrilateral.

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And so let's check our answer.

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And it's always a good[br]idea to look at hints.

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And so it'll kind of say the[br]same thing that we just said,

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but it would say it for[br]the particular problem

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that you're actually looking at.

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Let's do a few more of these.

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Suzanne is on an expedition[br]to save the universe.

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Sounds like a reasonable[br]expedition to go on.

0:01:01.320,0:01:03.130
For her final challenge,[br]she has to play

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a game called Find[br]the Rhombuses.

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A wizard tells her that she[br]has a square, a quadrilateral,

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and a parallelogram,[br]and she must

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identify which of the[br]shapes are also rhombuses.

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Which of these shapes should[br]she pick to save the universe?

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So a square is a special[br]case of a rhombus.

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Just to remind ourselves, a[br]rhombus, the opposite sides

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are parallel to each other.

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You have two sets[br]of parallel sides.

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A square has two sets[br]of parallel sides,

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and it has the extra condition[br]that all of the angles

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are right angles.

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So a square is definitely[br]going to be a rhombus.

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Now, all rhombuses[br]have four sides.

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So all rhombuses[br]are quadrilaterals.

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But not all quadrilaterals[br]are rhombuses.

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You could have a quadrilateral[br]where none of the sides

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are parallel to each other.

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So we won't click this one.

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Once again, a parallelogram.

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So all rhombuses[br]are parallelograms.

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They have two sets[br]of parallel sides,

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two sets of parallel[br]line segments

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representing their sides.

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But all parallelograms[br]are not rhombuses.

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So I would say that if[br]someone gives you square,

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you can say, look, a square is[br]always going to be a rhombus.

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A quadrilateral isn't always[br]going to be a rhombus,

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nor is a parallelogram[br]always going to be a rhombus.

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We got it right.

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