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CCSS.Math:

what is the type of this quadrilateral be as specific as possible with the given data so it's clearly is a quadrilateral we have four sides here and we see that two that we have two pairs of parallel sides or we could also say there are two pairs of congruent sides here as well this side is parallel congruent to this side this side is parallel and congruent to that side so we're dealing with a parallelogram let's do more of these so here it looks like a same type of scenario that we just saw on the last one we have two pairs of parallel and congruent sides but all the sides aren't equal to each other if they're all equal to each other we'd be dealing with a rhombus but here they're not all equal to each other this side is congruent to the side opposite this side is congruent to the side opposite that's another parallelogram now this is interesting we have two pairs of sides that are parallel to each other but now all of the sides have the equal length so this would be a parallelogram and it is a parallelogram but they're saying to be as specific as possible with the given data so saying it sorry rhombus would be more specific than saying it's a parallelogram this does satisfy the constraints for being a parallelogram but saying it's a rhombus gives us tells us even more not every parallelogram is a rhombus but every rhombus is a parallelogram here they have the sides are parallel to the side opposite and all the sides are equal let's do a few more of these what is the type of this quadrilateral be as specific as possible with the given data so we have two pairs of sides that are parallel and or we have should say one pair we have a pair of sides that are parallel and then we have another we have another pair of sides that are not so this is a trapezoid but then they have two choices here they have trapezoid and isosceles trapezoid now an asad isosceles trapezoid is a trapezoid where the two non-parallel sides have the same length just like an isosceles triangle you have two sides have the same length well we can see these two non parallel sides do not have the same length so this is not an isosceles trapezoid if they did have the same length that we would pick that because that would be more cific than just trapezoid but this case right over here this is just a trapezoid let's do one more of these what is the type of this quadrilateral well we could say it's a parallelogram because all of the sides are parallel but if we wanted to be more specific you could also see that all the sides are the same so you could say it's a rhombus but you could get even more specific than that you notice that all of the sides are intersecting at right angles so this is if we want to be as specific as possible this is a square let me check the answer got it right