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What quadrilateral always has four sides of equal length?
A square. Four 90 degree angles allow a quadrilateral to have equal sides.
What parallelogram has four sides of equal length?
A "parallelogram" technically is a shape where opposite sides are equal and any shape with four sides is a "quadrilateral". Every square has four sides of equal length, so a square is both a parallelogram and a quadrilateral. A rhombus(or diamond shape) can have four sides of equal length and can be a parallelogram as well, so either are possibilities.
What is a quadrilateral with four sides in which each pair of opposite sides are parallel and equal in length?
That quadrilateral is known as a 'parallelogram'.
A quadrilateral where each side is a right angle?
Quadrilateral means four sides. Four right angles and four sides is a rectangle and if the sides are equal length it is a square.
If a quadrilateral is equilateral then it is a rectangle?
A quadrilateral has four sides, and the fact that it is equilateral means the sides all have the same length, so the only possible shapes with four sides of equal length are a square and a rhombus.
