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Are all figures with 4 congruent sides a square?
All figures with four congruent sides are rhombuses. All figures with four congruent angles are rectangles. Any shape that is both a rhombus and a rectangle is a square.
Are all rectangles perpendicular?
Yes. The basic definition for a rectangle is 4 sides, four right angles(perpendicular), and opposite sides are congruent.
Are all rectangles are parallelograms but not all parallelograms are rectanges true or false?
That is true. A parallelogram is a quadrilateral with both pairs of opposite sides parallel to one another. Special types of parallelograms include a rhombus (all four sides also congruent to each other), a rectangle (all four interior angles measure 90o), and a square (all four sides congruent and all four interior angles are right). A rectangle is a special case of a parallelogram, therefore all rectangles are by definition parallelograms but not all parallelograms are rectangles.
Are all squares rectangles and if so why?
Rectangles have four right angles so, yes, all squares are rectangles because they also have four right-angled corners. However, rectangles can have sides of any length, as long as the opposite sides are of equal length, whereas a square has all four sides of equal length. A more technical reply could be that a rectangle has two pairs of congruent and parallel sides, which all squares have.
Are angles and sides of a parallelogram congruent?
In all parallelograms, opposite angles and opposite sides are congruent. If all four sides are congruent, it's a rhombus. If all four angles are congruent, it's a rectangle. If all four sides and all four angles are congruent, it's a square.
