A polygon with 2n sides (n>1) can have opposite sides congruent.
this would be a rhombus. rhombuses are parallelograms (four-sided shapes with opposite sides parallel) that have all equal side lengths. squares are included as rhombuses.
In short, no. Similar shapes are shapes in which all corresponding angles congruent regardless of the length of the sides. Congruent shapes have congruent corresponding angles and corresponding sides. In effect congruent shapes is a special condition of similar shapes.
Any regular polygon with an even number of sides will have opposite angles of equal measure.
A square's opposite sides are parallel and all the sides are congruent.
Yes. A parallelogram has congruent opposite sides as well as congruent opposite angles.
Any polygon with 2n sides (n integer) where opposite sides are parallel, will have its opposite angles congruent.
There are many such shapes. Any polygon with an even number of sides can have opposite sides that meet the above requirements.
Of some shape, Yes. Of other shapes, No.
a trapeziod
this would be a rhombus. rhombuses are parallelograms (four-sided shapes with opposite sides parallel) that have all equal side lengths. squares are included as rhombuses.
Of the quadrilaterals: a square, a rectangle, a parallelogram and a rhombus
In short, no. Similar shapes are shapes in which all corresponding angles congruent regardless of the length of the sides. Congruent shapes have congruent corresponding angles and corresponding sides. In effect congruent shapes is a special condition of similar shapes.
Any regular polygon with an even number of sides will have opposite angles of equal measure.
rectangle
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
All regular shapes have congruent sides.
There are infinitely many possible shapes. For example an octagon with sides [sequentially] numbered 1 and 5 that are equal.Another ViewYes the above is true, but specifically a shape with twopairs of congruent, opposite sides is called a parallelogram.