Pentagon
You are describing a rectangle. A rectangle has two pairs of parallel sides, opposite sides that are equal in length, and all angles that are equal (each measuring 90 degrees). It also has two lines of symmetry: one vertical and one horizontal.
Yes, each pair of two opposite sides is parallel and equal in length. This is necessary to achieve the symmetry of the angles.
A shape that has 2 right angles, only 1 set of parallel sides, and no lines of symmetry is a right trapezoid (or right-angled trapezium). In this trapezoid, the two non-parallel sides are not equal in length, contributing to the lack of symmetry. The right angles are formed between one of the parallel sides and one of the non-parallel sides.
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 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.