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The square and the rhombus are both equilateral. All their sides are the same length. In the square, the angles are all right angles. If you make a square and have each vertex on a "hinge" so that they can move, you can "reshape" the square and make different diamond (or lozenge) shapes. As you pull and push the shape to change it, the sides always remain the same length, of course. The angles all change as you move it though. That's a rhombus.
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What is a four-sided polygon with two pairs of parallel sides and two pairs of congruent sides?
any parallelogram because parallelograms are polygons with four sides.
Is is true if two parallelograms have corresponding sides that are equal they must be congruent?
yes it is ture
How many pairs of equal sides has a rectangle?
A rectangle has two pairs of parallel and congruent sides. An equilateral rectangle, or square, has four equal sides. Other quadrilaterals include trapezoids, which have two adjacent and equal sides, parallelograms, which have two pairs of parallel and congruent sides, and rhombi, which have four equal sides. (The a rectangle is a type of parallelogram. What differentiates it is angle configuration. A rhombus is likewise differentiated from a square by angle configuration.)
If a quadrilateral has four congruent sides but its diagonals are not congruent then the quadrilateral is a?
trapezoid * * * * * It cannot be a trapezoid because that does not have four congruent sides. In fact it need not have even two congruent sides. The correct answer is a rhombus.
Do trapezoids have four congruent sides?
No. If it did it would be a rectangle. A trapezoid only has two congruent sides.
