###### Asked in Geometry

Geometry

# What shape has an one acute angle and its opposite sides are parallel and congruent?

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### What is a polygon with opposite sides paralle and congruent called?

That depends somewhat on other characteristics of the
polygon.
-- If it has four sides and one pair of them is parallel and
congruent, then the
other pair must also be parallel and congruent, and it's called a
parallelogram.
-- If it has four sides, parallel and congruent opposite sides, and
a right angle,
then it's called a rectangle.
-- If it has four sides and all four sides are congruent, then
opposite sides must be
parallel, and it's called a rhombus.
-- If it has four sides and both pairs of sides are parallel and
all four are congruent
and it has a right angle, then it's called a square as well as a
rhombus.
-- Any polygon with more than four sides can have at least one pair
of opposite
parallel congruent sides and possibly more, but doesn't necessarily
have.
-- If it's a regular polygon, then it has one or more such pairs of
sides if, and only if,
it has an even number of sides.
-- In any case with more than four sides, the polygon is named for
its number of sides.
And I believe that pretty well covers it.