Theorems (Junior Cert Mathematics): Flashcards

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Theorems
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Vertically opposite angles

Always equal when two lines cross

Isosceles triangle angles

Angles opposite equal sides are equal

Alternate angles (parallel lines)

Equal on opposite sides of crossing line

Sum of angles in a triangle

180°180°

Corresponding angles (parallel lines)

Equal in same position on each line

Exterior angle of triangle

Sum of two opposite interior angles

Parallelogram opposite sides & angles

Opposite sides equal length, opposite angles equal

Parallelogram diagonals

Bisect each other (cut in half)

3 parallel lines & transversals

Equal segments on one = equal on any other

Triangle proportionality theorem

Parallel line divides sides into equal ratios

Similar triangles sides

Proportional (in same ratio)

Pythagoras' theorem

c2=a2+b2c^2 = a^2 + b^2 (c is hypotenuse)

Triangle area formula

base×height2\frac{base \times height}{2}

Parallelogram diagonal & area

Diagonal divides into two equal areas

Angle at centre of circle

Twice the angle at edge (same arc)

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