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# Classifying quadrilaterals

CCSS.Math:

## Video transcript

a parallelogram is a blank with two sets of parallel side to two sets of parallel lines so let's see what the options are so one option is a quadrilateral and a parallelogram is definitely a quadrilateral a quadrilateral is a four-sided figure and it is definitely a four-sided figure a parallelogram is not always a rhombus a rhombus is a special case of a parallelogram where not only do you have two sets of parallel lines as as your sides where two sets of parallel sides but all of the sides are the same length in a rhombus and a square is a special case of a rhombus where all of the angles are 90 degrees so here all we can say is that a parallelogram is a quadrilateral and so let's check our answer it's always a good idea to look at hints and so it'll kind of say the same thing that we just said but it would say it for the particular problem that you're actually looking at let's do a few more of these Suzanne isn't on it is on an expedition to save the universe sounds like a reasonable expedition to go on for her final challenge she has to play a game called to find the rhombuses a wizard tells her that she has a square a quadrilateral and a parallelogram and she must identify which of the shapes are also rhombuses which of these shapes should she pick to save the universe so a square is a special case of a rhombus just to remind ourselves a rhombus each the opposite sides are parallel to each other you have two sets of parallel sides a square has two sets of parallel sides and it has the extra condition that all of the angles are right angles so a square is definitely going to be a rhombus now all rhombuses have four sides so all rhombuses are quadrilaterals but not all quadrilaterals are rhombuses you could have a quadrilateral where none of the sides are parallel to each other so we won't click this one once again a parallelogram so up all rhombuses are parallelograms they have two sets of parallel sides two sets of parallel line segments representing their sides but all parallelograms are not rhombuses so I would say that someone gives you a square you can say look a square is always going to be a rhombus a quadrilateral isn't always going to be a rhombus nor is a parallelogram always going to be a rhombus we got it right