Quadrilaterals Worksheet With Answers Page 30
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50Rectangles
Definition
A rectangle is a parallelogram with one right angle.
Any side of a rectangle can be designated as a base and an adjacent side will be the
altitude as shown in the figures below.
altitude
altitude
base
base
Since a rectangle is a parallelogram, it has all the properties of a parallelogram. But it
also has a special property involving its diagonals. Investigate this property in the
following exploration.
Exploration
1. Make a conjecture about the diagonals of a rectangle below.
Conjecture:_______________________________________
2. Test this conjecture using patty paper. Fold down one edge of a piece of patty
paper so that the fold is parallel to the opposite side as shown below. Cut off
the excess along the fold to form a rectangle. Then fold the diagonals. Use
the edge of another piece of patty paper to compare the lengths of the
diagonals.
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