Special Points In Triangles (Leaving Cert Mathematics): Flashcards

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Special Points In Triangles
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Point where medians of triangle meet

Centroid

Ratio centroid divides each median

2:12:1

In 2:12:1 median ratio, where is larger segment?

Between vertex and centroid

Centroid is the ___ of triangle

Balance point (centre of gravity)

Line joining midpts of 2 sides: direction

Parallel to the third side

Line joining midpts of 2 sides: length

Half the length of third side

Name of theorem about line joining midpoints

Midpoint Theorem

Where do medians of triangle intersect?

At a single point (the centroid)

Centroid: If AG=6AG = 6, find GDGD

GD=3GD = 3

Centroid: If AG=6AG = 6, find ADAD

AD=9AD = 9

DD, EE midpts; BC=12BC = 12. Find DEDE

DE=6DE = 6

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