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Q: What shape has no parallel sides are equal in length angles are equal and has 5 lines of symmetry?
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I have 2 pair of parallel sides. The opposite sides are equal in length. All of the angles are equal in size and there are 2 lines of symmetry. What am I?

A rectangle.


Are the opposite sides equal in a parallelogram?

Yes, each pair of two opposite sides is parallel and equal in length. This is necessary to achieve the symmetry of the angles.


Does a square four equal parallel sides and no right angles and twolines of symmetry?

No.


I have 2 pairs of parallel sides. My opposite sides are equal in length. All my angles are equal in size. I have two lines of symmetry. What am I?

The answer is any rectangle that is not a square: such a rectangle has two lines of symmetry, whereas a square has four.


What is a quadrangle that has equal opposite angles but they are not right angles and the opposite side are parallel and are equal in length?

square


What quadrilateral has 2 sets of parallel sides of equal length?

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.


Does a trapezoid have 2 pair of opposite congruent angles?

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


What shape has five lines of symmetry no right angles or obtuse angles and all sides of equal length?

octagon


What 2D shape has four sides which are not equal in length that has 2 equal acute angles and 2 obtuse angles and has no lines of symmetry?

Impossible.


What are all the properties of a paralelogram?

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


What shape has 4 lines of symmetry 2 pairs of parallel sides all angles equal and opposite sides are equal?

a square


What are characteristic isosceles trapezoid?

Base angles are equal and non-parallel sides are equal in length.