What is common between the following shapes? All shapes are quadrilateral. All shapes contain right angles. All shapes contain one pair of equal sides. All shapes contain parallel sides. All shapes are equilateral.
We have three shapes. And we have to work out what is common between these shapes. What do all the shapes share? What’s the same about all of these shapes? And here we have a list of statements about the shapes, and we have to choose the one which is correct.
Are all of these shapes quadrilaterals? A quadrilateral is a four-sided shape. Do all of our shapes have four sides? The first shape has four sides, so does the second. But the third shape is a hexagon; it has six sides. Not all shapes are quadrilaterals. Only two out of the three are quadrilaterals.
The next statement we have to check is, do all shapes contain right angles? We can see that the first shape has these little squares drawn in two of its corners. These squares are used to show a right angle. So, the first shape has two right angles. And neither of the other shapes have any right angles.
Next, it says that all shapes contain one pair of equal sides. None of the sides in the first shape are equal in length. Each of its four sides are different lengths. The second shape does have a pair of equal sides, and so does the third. But the first shape doesn’t.
Let’s test this statement. All shapes contain parallel lines. The first shape has parallel lines. Parallel lines are shown using these small arrows. These arrows tell us that this is a pair of parallel lines. That means that these lines are an equal distance apart. So, we know the first shape has parallel sides. The second shape has one pair of parallel sides, and a second pair of parallel sides. The second pair has two arrows to show that it’s the second pair of parallel sides. And the third shape has three pairs of parallel sides, one, two, three. This statement is true. All the shapes contain parallel sides.
Let’s just check the final statement. Are all of these shapes equilateral? Equilateral means all the sides are equal in length. And we already know that the first shape doesn’t have sides of equal length. So, we know the last statement is not correct. What is common between the following shapes? All of the shapes contain parallel sides.