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every parallelogram is a square?
every rectangle with four congruent sides is a square?
every rectangle is a quadrilateral?
every quadrilateral is a rectangle?​

Sagot :

aklee18oo

Answer:

every parallelogram is a square? False

every rectangle with four congruent sides is a square? True

every rectangle is a quadrilateral? True

every quadrilateral is a rectangle?​ False

Step-by-step explanation:

every parallelogram is a square?

A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.

every rectangle with four congruent sides is a square?

Square require 4 congruent sides and 4 right angles. Rectangles already have  4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.

every rectangle is a quadrilateral?

A quadrilateral is defined by a shape having 4 sides. Rectangles have 4 sides, so they fit into the category of quadrilaterals.

every quadrilateral is a rectangle?​

A quadrilateral is a just a shape with four sides. We do not know if it has 4 right angles, so not every quadrilateral is a rectangle.

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