- A polygon is a two-dimensional figure with three or more straight sides.
- A quadrilateral is a polygon with four straight sides.

**Example**

- PORS is a parallelogram
- PT = TS, OU = UR

Prove that TURS is a parallelogram.

**How to answer the question **

- Analyse the diagram. Remember the use of properties of a parallelogram as discussed above. Using colour is helpful
- Given: PORS is a parallelogram
- Properties of a parallelogram
- Two pairs of opposite sides are parallel and equal
- PS = OR and PO = SR
- PS || OR and PO || SR

Prove

- The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side. (Special case to proportionality)

In ΔΔABC, M and N are the midpoints between AB and AC respectively.

Prove the theorem that states:

- MN || BC
- MN = 1212BC

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