72.0k views
2 votes
True or false a quadrilateral is a square if and only if it is a rhombus and rectangle

User Rummykhan
by
8.2k points

1 Answer

3 votes

Answer:

True

Explanation:

A quadrilateral is any polygon with 4 sides. It can be a square, rhombus, rectangle, parallelogram etc.

A rhombus is a parallelogram with all sides equal and the diagonals cut each other equally at right angles.

A rectangle is a parallelogram with opposite sides equal and all internal angles is at right angles. The diagonals are congruent and divided the rectangle into equal halves.

A square is a parallelogram with all sides equal and all angles equal to 90°.

Thus square fulfills the property of a rhombus and a rectangle.

Thus, if a quadrilateral which is a rhombus and a rectangle can only be a square.

User DiscoverAnkit
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories