This Math quiz is called 'Shapes 7' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.
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This middle school Math quiz on shapes is going to be about triangles and their properties: triangles are very, very important in geometry. They say two is company but three is a crowd; unfortunately, you need three sides to make a triangle.
How many 3-sided shapes can you think of? There is only one - the triangle. However, there are many different types of triangles - how many can you remember? This quiz will test you on some of them - as always, don't move on until you've got all ten questions correct.
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I hope that you didn't get this wrong! The sum of the interior angles of a triangle = 180°
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Only two of its sides are the same, so two of its angles are also the same
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Try constructing this: you will find that it is impossible to draw the triangle. The longest side of a triangle is always opposite the biggest interior angle
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All of its sides are different, so all of its angles are also different
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If it had two interior obtuse angles, it would not be possible to construct such a triangle because an obtuse angle is greater than 90° and less than 180°
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This is Pythagoras' Theorem
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All of the angles are less than ninety-degrees
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An equiangular triangle is a triangle whose interior angles are all the same. The sum of the interior angles of a triangle = 180°, so each interior angle must be 60°, BUT many such triangles exist: although the interior angles may all be the same, you can have different triangles. The side lengths will all be the same for each particular triangle, but a triangle with side lengths of 12 cm is not the same as, say, a triangle with side lengths of 6 cm - even though the interior angles are all 60°
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If the triangle is equilateral, then all the sides are of the same length. This means that all the interior angles will be the same: this can only happen if all the angles are equal to 60°
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Remember this fact - it will help you when you have to use Pythagoras' theorem
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