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What do these shapes all have in common? They are all two-dimensional, 4 sided-shapes, with 4 angles. These are known as quadrilaterals. Quad means four, lateral means sides. In this video we are going to look at the properties of quadrilaterals in more detail. So they all have 4 sides, they all have 4 angles, they
all have 4 vertices (or corners)...
What about the sum of the interior angles?
The interior angles always add up to 360 degrees. We’re going to have a look at these 6 quadrilaterals in more detail... Before we start… did you know that squares, rectangles and rhombuses are all types of parallelograms? Let’s start at the top… with the one you probably already know all about. Squares.
4 equal sides, 4 right angles and opposite sides are parallel.
What about rectangles?
Also 4 right angles and opposite sides are parallel, but this time the lengths aren’t all the same. Opposite sides are equal in length, these and these. Did you know that a square is a type of rectangle?
What about a rhombus? What do you notice about its sides and angles?
Pause the video and have a think.... 4 equal sides, opposite sides are parallel and equal in length Opposite angles are equal. I always think of a rhombus as a “tipped over” square. Did you know that a square is a type of rhombus?
So now parallelograms. Just like a rhombus is a tipped over square, a parallelogram is a pushed over rectangle. I told you earlier that squares, rectangles and rhombuses are all types of parallelograms… So what does it mean to be a parallelogram?
Pause the video and have a think. They have parallel opposite sides That are equal in length.
So these and these.
The opposite angles are also equal - like in rhombuses. Squares, rectangles and rhombuses all meet these requirements, hence they are parallelograms. In England we call them trapeziums, in America they’re called trapezoids. They simply have 1 pair of parallel sides.
As trapeziums have such a simple definition, it actually means squares, rectangles, rhombuses, parallelograms are all also trapeziums! Last up we have kites... What do you notice about our final type of quadrilaterals?
Pause the video and have a think. They have two pairs of sides that are equal in length. They always have one pair of equal angles. Not so important, but worth mentioning… The diagonals cross at 90 degrees.
So quadrilaterals are actually all very interconnected. By definition, a square is a quadrilateral, a trapezium, a parallelogram, a rectangle and a rhombus!!! Time to test your knowledge. Pause the video and give these questions a go. Click play when you’re ready... How did you get on?
That’s the end of quadrilaterals for now. Remember that they are interconnected, and so have similar properties. If you have a question, comment below and we'll answer them for you. If you liked the video, please give it a thumbs up.
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