An irregular 5 sided pentagon that looks like a hut would fit the given description.
an irregular hexagon... __/\__ \ / \ / \ /
A kite.
Yes. Think of a kite shape. Symmetry along its length but no parallel sides.
It is a regular pentagon!
An isosceles triangle has exactly one line of symmetry.
A kite.
As isosceles triangle.
An isosceles triangle has one line of symmetry
An isosceles triangle - a triangle with two sides of equal length.
The shape you are describing is a kite. A kite has four sides, one line of symmetry (which runs through its longer diagonal), and two pairs of adjacent sides that are equal in length. This unique combination of properties distinguishes kites from other quadrilaterals.
It has 1 line of symmetry
An isosceles triangle has one line of symmetry