8.1 Revision
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8.2 Circle geometry

Chapter 8: Euclidean geometry
8.1 Revision (EMBJ6)
Parallelogram (EMBJ7)
 Discuss terminology.
 Converses are not examinable.
 Good practice for answering questions:
 make a neat and accurate drawing
 state triangle/figure being considered
 give statement and appropriate reason
 give a conclusion
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Summary of the properties of a parallelogram:

Both pairs of opposite sides are parallel.

Both pairs of opposite sides are equal in length.

Both pairs of opposite angles are equal.

Both diagonals bisect each other.
The midpoint theorem (EMBJ8)
The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.
Given: \(AD = DB\) and \(AE = EC\), we can conclude that \(DE \parallel BC\) and \(DE = \frac{1}{2}BC\).
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8.2 Circle geometry
