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GEOMETRY. 151
A parallelogram is a plane figure whose opposite sides are
parallel and of equal length. ( See Fig. 8).
A rectangle is a parallelogram having all its angles right
angles. ( See Fig. 9).
A trapezoid is a plane figure bounded by four straight
lines, of which only two are parallel. (See Fig. 10).
Fig. 8. Fig. 9.
Parallelogram.
Fig. 10.
Rectangle. Trapezoid.
Fig. 11. A trapezium is a plane figure bounded by
four sides, all of which have unequal length.
(See Fig. 11).
Polygons having four sides, and conse-
quently four angles, are usually called quad-
rangles. Polygons having more than four
sides are named from the number of their
sides.
Trapezium.
Thus
:
A polygon having five
" " six
" " seven
" " eight
’ ; " nine
" ten
" eleven
sides is called a pentagon.
" " a hexagon.
" "
a heptagon.
" " an octagon.
" "
a nonagon.
" "
a decagon.
’ ; " an undecagon.
twelve a dodecagon.
The sum of the degrees of all the angles of any polygon
can always be found by subtracting 2 from the number of sides
and multiplying the remainder by 180.
For instance :
The sum of degrees in any quadrangle is always (4 — 2)
X 180 = 360 degrees.
The sum of degrees in any pentagon will always be (5 — 2
)
X 180 = 540 degrees.
This is a useful fact to remember in making drawings, as it
may be used for verifying angles of polygons.
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