Video: GCSE Mathematics Foundation Tier Pack 1 • Paper 2 • Question 9

GCSE Mathematics Foundation Tier Pack 1 • Paper 2 • Question 9

01:53

Video Transcript

Draw a trapezium on the grid.

So to be able to draw a trapezium, we need to think, “well, what is a trapezium?” Well, the definition of a trapezium is a four-sided 2D shape — so it’s a four-sided flat shape — with straight sides that has one pair of opposite parallel sides. Well, one of the words that we need to look at here is a keyword, which is “parallel.”

So if it’s saying that it has one pair of opposite parallel sides, what does this mean? When sides are parallel or lines are parallel, it means that actually they stay the same distance apart. So they don’t get any closer or any further away.

Now, there are actually many different types of trapezium we can draw. However, it doesn’t matter which one of these types of trapezium we do draw as long as it actually meets the requirements we have, which is that it’s a four-sided 2D shape with straight lines and one pair of opposite parallel sides. So I’ve drawn the shape on our grid. Okay, let’s see if this fulfils all the requirements we need.

Well, first of all, is it four-sided? Well, yes, we can see it’s got four sides. Well, is it a 2D shape? Yes, cause it’s a flat shape. Does it have all straight sides? Well, yes, it does. All the sides are straight, all four of them. And, finally, does it have one pair of opposite parallel sides? Well, yes, it does cause as we can see that the top and bottom are opposite and they’re also parallel because they don’t get any further apart or any closer together. So yes, we’ve actually fulfilled the question and actually drawn a trapezium on the grid.

So we’ve actually solved the problem. But what I want to quickly do is just show you how you could’ve drawn it in another way. And it’ll be totally fine and still get you the marks. So here, I’ve drawn another trapezium. Again, it’s got four sides, it’s 2D, it has four straight lines, and it has one pair of opposite parallel sides. So as you can see, there are many different ways we could have drawn our trapezium.

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