A rectangle is a parallelogram with:
- four right angles
- equal diagonals that bisect each other
If a quadrilateral has one of
these two features, it will have the other one, and is a rectangle. Rectangles also have equal opposite sides.
The perimeter of a rectangle is the sum of the sides. Since there are
two equal lengths and two equal widths, the perimeter of a rectangle is
2l + 2w.
Interior angles of a quadrilateral must
sum to 360°, so we know that < S
= 360° - 3(90°) = 90°. This means that the opposite sides
of QRST are of equal length, so QR=TS, QT=RS,
and QS=RT.
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