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Quadrilaterals
SOL 7.6 a) compare and contrast quadrilaterals based on their properties
| Term | Definition |
|---|---|
| polygon | a closed plane figure composed of at least three line segments that do not cross |
| quadrilateral | a polygon with four sides |
| diagonal | a segment in a polygon that connects two vertices but is not a side |
| bisect | means to divide into two equal parts |
| lines of symmetry | divides a figure into two congruent parts each of which is the mirror image of the other |
| parallelogram | a quadrilateral with both pairs of opposite sides parallel |
| properties of a parallelogram | - opposite sides are parallel and congruent; - opposite angles are congruent; and - diagonals bisect each other and one diagonal divides the figure into two congruent triangles |
| rectangle | quadrilateral with four right angles |
| properties of a rectangle | - opposite sides are parallel and congruent; - all four angles are congruent and each angle measures 90; and - diagonals are congruent and bisect each other. |
| square | a quadrilateral that is a regular polygon with four congruent sides and four right angles |
| properties of a square | - opposite sides are congruent and parallel; - all four angles are congruent and each angle measures 90; and - diagonals are congruent and bisect each other at right angles. |
| Number of lines of symmetry in a square | 4 |
| Number of lines of symmetry in a parallelogram (not a rectangle or rhombus) | 0 |
| Number of lines symmetry in a rectangle and rhombus | 2 |