Question

Consider a convex hexagon in which all pairs of opposite sides are parallel. Prove that if one pair of opposite sides have equal length, then the other two pairs of opposite sides also have equal length.

Answer 1

A pair of the opposite sides of a hexagon has equal length and this is proved below.

How to illustrate the hexagon?

It should be noted that a hexagon is a polygon that has six sides.

In this case, it has 6 sides.

The total angles will be:

= (n - 2) × 180

= (6 - 2) × 180

= 720°

Each angle will hence be:

= 720°/6

= 120°

Each angle are equal and this illustrates that the parallel sides are equal.

A diagram is attached to illustrate the pair of parallel sides.

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