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What is a Quadrilateral?

What is a quadrilateral?

Summary

  1. Closed shapes with four sides are called quadrilaterals
  2. Congruent sides are identified with matching dash marks
  3. Parallelograms are quadrilaterals whose opposite sides are congruent and parallel
  4. Rhombuses are parallelograms with all sides congruent
  5. Little boxes in the corner of a figure represent right angles
  6. Rectangles are parallelograms with four right angles
  7. Squares are parallelograms with four congruent sides and four right angles

Notes

    1. A polygon is a closed figure whose sides are made up of line segments
    2. As long as it's a closed figure with four sides that are line segments, it's a quadrilateral!
    1. Quadrilaterals with certain characteristics have special names
    1. A parallelogram is a special type of quadrilateral
    2. Opposite sides congruent means that sides across from each other are the same length
    3. Angles that are across from each other in a parallelogram are equal too!
    4. Parallel means that if you extended out the sides forever in both directions, they would never cross
    1. A rhombus is a special type of parallelogram, so it is also a quadrilateral
    2. All sides congruent means that all the sides are the same length
    3. Parallel means that if you extended out the sides forever in both directions, they would never cross
    4. Basically, a rhombus is a parallelogram with all sides equal
    1. A rectangle is a special type of parallelogram, so it is also a quadrilateral
    2. Opposite sides congruent means that sides across from each other are the same length
    3. Parallel means that if you extended out the sides forever in both directions, they would never cross
    4. Right angles are angles that measure 90 degrees
    5. In the diagram, right angles are marked with a little box
    1. A square is a special type of parallelogram, so it is also a quadrilateral
    2. All sides congruent means that all the sides are the same length
    3. Parallel means that if you extended out the sides forever in both directions, they would never cross
    4. Right angles are angles that measure 90 degrees
    5. In the diagram, right angles are marked with a little box
    6. Basically, a square is a rectangle with all sides equal
    1. A trapezoid is a special type of quadrilateral
    2. Note that since only one pair of opposite sides are parallel, a trapezoid is NOT a parallelogram
    3. Parallelograms need BOTH pairs of opposite sides to be parallel
    4. Parallel means that if you extended out the sides forever in both directions, they would never cross