Corollaries (Junior Cert Mathematics): Flashcards

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Corollaries
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Corollaries

Bonus facts that naturally follow from theorems

Angles standing on same arc

All equal/same size

If angles equal, they stand on...

Same arc

Centre angle vs edge angle (same arc)

Centre is twice the edge angle

Angle in semi-circle

90°90° (right angle)

Triangle: diameter as side, opposite angle is...

90°90°

90°90° angle standing on chord means chord is...

Diameter

Why 90°90° angle means diameter

90°90° splits circle in half

Cyclic quadrilateral

4-sided shape with all corners on circle edge

Opposite angles in cyclic quadrilateral sum

180°180°

If opposite angles sum 180°180°, shape is...

Cyclic quadrilateral

Purpose of corollaries

Shortcuts to find answers quickly from known theorems

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