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GCSE Key Skills > Important Shape Facts > Flashcards

Important Shape Facts Flashcards

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1
Q

What do the interior angles in a triangle add up to?

A

180 degrees

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2
Q

What do the interior angles in a quadrilateral add up to?

A

360 degrees

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3
Q

What do the interior angles in a pentagon add up to?

A

540 degrees

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4
Q

What do the exterior angles of any polygon add up to?

A

Always 360 degrees!

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5
Q

How do you work out the interior angle sum for any polygon?

A

In words: subtract 2 from the number of sides then multiply by 180

In algebra: if n is the number of sides, angle sum = 180(n-2)

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6
Q

What are the size of the angles in an equilateral triangle?

A

60 degrees

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7
Q

What are the properties of the sides and angles of isosceles triangles?

A

Two sides are equal and two angles are equal

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8
Q

What are the properties of the sides and angles of scalene triangles?

A

All sides are different lengths. All angles are different sizes.

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9
Q

What are the properties of the sides and angles of equilateral triangles?

A

All sides are the same length. All angles are the same size.

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10
Q

What do the angles on a straight line sum to?

A

180 degrees

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11
Q

What do the angles around a point add to?

A

360 degrees

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12
Q

What are the three trigonometric ratios you need to learn?

A

Sin x = opp / hyp
Cos x = adj / hyp
Tan x = opp / adj

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13
Q

How can you work out which side is the HYPOTENUSE in a right-angled triangle?

A

It is the longest side - the one opposite the right angle

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14
Q

How can you work out which side is the ADJACENT in a right-angled triangle?

A

It is the side between the right-angle and the angle in question

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15
Q

How can you work out which side is the OPPOSITE in a right-angled triangle?

A

It is the side opposite the angle in question

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16
Q

What is the formula for the circumference of a circle?

A

C = Pi x diameter

Or

C = 2 x Pi x Radius

17
Q

What is the formula for the area of a circle?

A

A = Pi x r^2

r^2 means ‘r squared’

Remember to only square the radius, not Pi too.

18
Q

What is Pythagoras’ formula?

A

a^2 + b^2 = c^2

C is the longest side in a right-angled triangle

19
Q

How do you work out the area of a rectangle?

A

Length x width

Or

Base x height

20
Q

How do you work out the area of a parallelogram?

A

Base x perpendicular height

Do not use the slanted side!

21
Q

How do you work out the area of a triangle?

A

1/2 x base x perpendicular height

22
Q

How do you work out the area of a trapezium?

A

1/2(a + b) x h

where a and b are the two parallel sides and h is the perpendicular height

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