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Written by : Lael Vanvolkenburg |
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in this video we're going to start the CUDA software infinite geometry free worksheet classifying quadrilaterals so let's go over the different types of quadrilaterals a quadrilateral is a figure with four sides so each of the following are quadrilaterals a kite a trapezoid an isosceles trapezoid a parallelogram rhombus rectangle and a square all of those are classifications of a quadrilateral a kite is a quadrilateral that has two pairs of sides with equal lengths a trapezoid has a pair of opposite parallel sides remember this is the symbol for parallel and isosceles trapezoid is a trapezoid so it has a pair of parallel sides however an isosceles trapezoid also has a pair of congruent sides so the sides that are not parallel are congruent a parallelogram the opposite sides are both parallel and congruent for a rhombus all sides have equal lengths the opposite sides are parallel and then a rectangle opposite sides are parallel and opposite sides are also equal lengths or congruent and all angles are 90 degrees and lastly a square all sides are equal and all angles are 90 degrees so knowing this our directions say to state the most specific name for each figure so feel free to refer back to the list or try to do it from memory so number one you can see that this side is parallel to this side and also indicated as that this side is parallel to this side so we have that the opposite sides are parallel and again since opposite sides are parallel we know that they're going to intersect at the same distances so this is a parallelogram and number two keeping my chart in the pictures that we can still see we have a quadrilateral however this quadrilateral has one pair of opposite sides that are parallel so looking at our chart a pair of opposite parallel sides is a trapezoid so and number two we have a trapezoid in number three we have the opposite sides are congruent so this sign is congruent to this side this side is congruent to this side and that's indicated by the tick marks and we also have that each angle is 90 degrees so going up to our chart opposite sides are parallel and equal and all angles are 90 degrees this is going to be a rectangle and we know that they're parallel because since they intersect at 90 degrees this side is parallel to this side and this side is parallel to this side so this is indeed a rectangle and number four we have two pairs of congruent sides this side is congruent to this side and this side is congruent to this side so looking at our chart two pairs of sides with equal lengths is a kite swimmer number four we have a kite and number five nothing is indicated we do not have that any of the sides are congruent and we also do not have that any of the sides are parallel therefore this quadrilateral cannot be classified more specifically than just a quadrilateral because it indeed has four sides number six we have that all sides are congruent or equal a measure and since they're equal measure so this is a rhombus number seven thirteen point six is the same as thirteen point six so this side is congruent to this side eight is equivalent to eight so this side is congruent to this side so we're given that opposite sides are congruent and all angles are 90 degrees so this is a rectangle a number eight twelve point nine is equal to twelve point nine which is equal to twelve point nine and twelve point nine so all sides have equal measure therefore all sides are congruent notice also the opposite angles are congruent because that opposite sides are also parallel so in number eight we have a rhombus and number nine 15 is equal to 15 so those two sides are congruent and eight is equal to eight so those two sides are congruent so we have opposite sides are congruent 97 degrees is congruent to 97 degrees 83 degrees is congruent to 83 degrees so we can see that the sides of eight are parallel and the sides of 15 are parallel so we have opposite sides are congruent and opposite sides are parallel therefore this is a parallelogram and number 10 we have a pair of congruent sides since fourteen point three is equal to fourteen point three and eleven point one equals eleven point one so since we have a pair and pair of congruent sides this is a kite in number eleven none of the sides are congruent none of the angles are congruent and none of the sides are parallel therefore this is just a quadrilateral there is no further classification that we can give this quadrilateral and number twelve nine point eight is congruent to nine point eight so we have a pair of opposite sides that are congruent also notice that since 106 is equivalent to 106 and seventy-four is congruent 74 we'd be able to say that this top line is parallel to this bottom side so we have a pair of opposite sides that are parallel and we have that the pair of sides that are not parallel are congruent so this is an isosceles trapezoid in other words it's a trapezoid where the two sides that are not parallel are congruent therefore we can classify it as an isosceles trapezoid and for the last bit of this worksheet we're going to be stating all possible names for each figure starting with number 13 first we know that it is a quadrilateral because it has four sides also if you can see opposite sides our parallel so this is also a parallelogram opposite sides are parallel but not only that also we have that all sides are equal lengths and since opposite sides are also parallel this is also a rhombus we could also say that since the opposite sides are equal and measure since every sides congruent the opposite sides are congruent the opposite sides are also parallel and all the angles are 90 degrees this is a rectangle however the best classification or the most specific classification is that it is a square that's because all sides are congruent or equal and measure opposite sides are parallel and each angle is 90 degrees so you can see that a square is a rectangle a square is also a rhombus a square is a parallelogram and a square is a quadrilateral and number fourteen four sides we know it is a quadrilateral next we have the opposite sides are parallel therefore it's a parallelogram and that is as specific as we can get the shape is not only a quadrilateral but it is also a parallelogram and number fifteen four sides means it's a quadrilateral we also have the opposite sides are parallel so this is also a parallelogram but more specifically since opposite sides are parallel and all sides are congruent this is a rhombus so number 15 is a quadrilateral a parallelogram and a rhombus so we can say that a rhombus is a parallelogram and a rhombus is also a quadrilateral and number sixteen four sides makes this a quadrilateral we have one pair of parallel sides therefore it's a trapezoid and that is as far as we can go within the classification number sixteen is a trapezoid and a trapezoid is a quadrilateral in number 17 four sides is a quadrilateral we also have two pairs of congruent sides therefore this is a kite and since we have no parallel sides or any other information this is as far as we can go in number 17 quadrilateral and kite and lastly and number 18 and numbe
Thanks for your comment Eddie Yero, have a nice day.
- Lael Vanvolkenburg, Staff Member
quadrilaterals good day students welcome back to my classroom for today's lesson you will learn to identify and describe the different kinds of quadrilateral which are square rectangle parallelogram trapezoid and rhombus let's begin we have here a treasure let's take a look what's inside this treasure there you go what can you observe we can see that these objects have four sides which are examples of quadrilaterals but wait do you know what quadrilateral means the term quad in quadrilateral means four well lateral means sides therefore it means that the quadrilateral is a polygon with four sides for example we have here four line segments if we combine this to form a figure we can form a quadrilateral which we can see this figure has four sides and as we combine these line segments we also create four angles here we can see that this figure has four right angles or four ninety degree angles which total to 360 degrees therefore remember that the quadrilateral has a total of 360 degrees quadrilaterals are classified according to the length of its sides and the measure of its angles now that you know some basics let's explore different kinds of quadrilateral first up we have here a rectangle a rectangle is a quadrilateral which opposite sides are equal one pair of opposite sides are the widths while the other ones are the lengths we can also observe that these opposite sides are parallel to each other remember from our past video that parallel are those that do not intersect lengths here are parallel to each other and the widths are also parallel to each other and lastly all of the four corners are right angles now let's try to change the measure of its length like this do you know what quadrilateral is this if you said square you are right in a square all of its sides are equal and like the rectangle its opposite sides are parallel and it also has four right angles let's go to the next one this time let's experiment a bit by changing its angles like this there you go can you guess what quadrilateral is this it is a rhombus a rhombus like square has four equal sides and its opposite sides are also parallel the only difference is that its angles are not right angles but we can see that its opposite angles are equal which means if one angle is 70 degrees its opposite angle will be 70 degrees if the other one is 110 degrees the opposite angle will be 110 degrees but still if we add the measures of the four angles it will still sum up to 360 degrees then let's go to the next one this time let's try to stretch this rhombus like this there now this is a parallelogram a parallelogram like rhombus has equal opposite angles and which opposite sides are equal and parallel awesome now let's go to the last one now this time let's try to change the measure of only one side and an angle let's see what happens there we have formed a trapezoid a trapezoid is a quadrilateral with only one pair of parallel sides which is different from the other quadrilaterals we have learned earlier that have two pairs of parallel sides here we can see that the top and the bottom sides of this figure are parallel to each other now we learn the different kinds of quadrilaterals which are rectangle square rhombus parallelogram and trapezoid great job students you made it this far now here are the things that you learned todayyou
Thanks Oliver your participation is very much appreciated
- Lael Vanvolkenburg
About the author
I've studied philosophy of space and time at Georgia Southwestern State University in Americus and I am an expert in physical chemistry. I usually feel listless. My previous job was educational psychologist I held this position for 6 years, I love talking about performance and magic tricks. Huge fan of Alex Borstein I practice parasailing and collect for sports cards.
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