Synthetic Geometry - collaries

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6 Terms

1
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Corollary 1

A diagonal divides a parallelogram into 2 congruent triangles

2
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Corollary 2

All angles at points of a circle, standing on the same arc are equal

3
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Corollary 3

Each angle in a semi-circle is a right angle

4
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Corollary 4

If the angle standing on a chord [BC] at some point of the circle is a right angle, then [BC] is a diameter

5
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Corollary 5

If ABCD is a cyclic quadrilateral, then opposite angles sum to 180 degrees

6
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Corollary 6

If 2 circles intersect at one point only, then the 2 centres and the point of contact are colinear