Rhombuses, Rectangles, and Squares

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Questions and Answers

A rhombus is a parallelogram with four _____ sides.

congruent

A rectangle is a parallelogram with four _____ angles.

right

A square is a parallelogram with four congruent sides and four _____ angles.

right

A quadrilateral is a rhombus if and only if it has four _____ sides.

<p>congruent</p> Signup and view all the answers

A quadrilateral is a rectangle if and only if it has four _____ angles.

<p>right</p> Signup and view all the answers

A quadrilateral is a square if and only if it is a _____ and a rectangle.

<p>rhombus</p> Signup and view all the answers

Flashcards

Rhombus

A quadrilateral with four congruent sides.

Rectangle

A parallelogram with four right angles.

Square

A parallelogram with four congruent sides and four right angles.

Rhombus Corollary

A quadrilateral is a rhombus if and only if it has four congruent sides.

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Rectangle Corollary

A quadrilateral is a rectangle if and only if it has four right angles.

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Square Corollary

A quadrilateral is a square if and only if it is a rhombus and a rectangle.

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Study Notes

  • A rhombus is a parallelogram with four congruent sides.
  • A rectangle is a parallelogram with four right angles.
  • A square is a parallelogram with four congruent sides and four right angles.

Rhombus Corollary

  • A quadrilateral is a rhombus if and only if it has four congruent sides.
  • ABCD is a rhombus if and only if bi-conditional

Rectangle Corollary

  • A quadrilateral is a rectangle if and only if it has four right angles.
  • ABCD is a rectangle if and only if

Square Corollary

  • A quadrilateral is a square if and only if it is a rhombus and a rectangle.
  • ABCD is a square if and only if

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