AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.
What are the properties of a parallelogram?
Note, the figure is a parallelogram
Some properties of a parallelogram are:
- The opposite sides of a parallelogram are parallel and equal.
- The opposite angles are equal.
- The consecutive angles are supplementary, that is, the sum up to 180°
- The two diagonals divide each other.
if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.
Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.
Learn more about a parallelogram here:
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