Pentagon
Yes, each pair of two opposite sides is parallel and equal in length. This is necessary to achieve the symmetry of the angles.
No.
opposite sides are equal in length and parallel opposite angles are equal adjacent angles add up to 180 degrees no lines of symmetry base x vertical height = area sum of internal angles = 360 degrees sum of external angles = 360 degrees
a square
A rhombus has 4 sides of equal length, opposing parallel sides, and no right angles
A rectangle.
Yes, each pair of two opposite sides is parallel and equal in length. This is necessary to achieve the symmetry of the angles.
No.
The answer is any rectangle that is not a square: such a rectangle has two lines of symmetry, whereas a square has four.
square
A square has 3 sets of parallel sides of equal length AND all the angles are 90 degrees. A rhombus has 2 sets of parallel lines of equal length, but the angles aren't all 90 degrees.
Whether or not the opposing angles of a trapezoid (UK trapezium) are equal depends on the axis of symmetry. A trapezoid (trapezium) can be defined as a quadrilateral with one pair of opposite sides parallel. It is not a parallelogram because only one pair of sides is parallel. It is called a regular trapezoid if the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal
octagon
Impossible.
opposite sides are equal in length and parallel opposite angles are equal adjacent angles add up to 180 degrees no lines of symmetry base x vertical height = area sum of internal angles = 360 degrees sum of external angles = 360 degrees
a square
Base angles are equal and non-parallel sides are equal in length.