Theorems (Leaving Cert Mathematics): Flashcards

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Triangle Theorems
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Isosceles triangle: equal sides → ?

Equal opposite angles

Isosceles triangle: equal angles → ?

Equal opposite sides

Midpoint theorem: direction property

Parallel to third side

Midpoint theorem: length property

Half the length of third side

Pythagoras' theorem formula

c2=a2+b2c^2 = a^2 + b^2

In Pythagoras' theorem, what is cc?

Hypotenuse

Similar triangles: corresponding sides are

Proportional

Similar triangles: corresponding angles are

Equal

Proportional corresponding sides → triangles are

Similar

Pythagoras' theorem forms the basis for

Trigonometry

Name of theorem about line joining midpoints

Midpoint Theorem

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