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What is a Parallelogram?

What is a parallelogram?

Summary

  1. The parallelogram has four sides, which means it's a quadrilateral
  2. The opposite sides of this parallelogram are parallel and congruent
  3. Line segment AD is opposite to BC, and line segment AB is opposite to DC
  4. The equals sign with a little squiggly line above it stands for congruence
  5. The dash marks on the sides mean that they are the same length
  6. Angle A is opposite to C, and angle D is opposite to B

Notes

    1. Line segment AD is opposite to BC, and line segment AB is opposite to DC
    1. Line segment AD is opposite to BC, and line segment AB is opposite to DC
    2. 'Congruent' means that they are the same length
    1. Angle A is opposite to C, and angle D is opposite to B
    2. Opposite angles are angles that are across from each other
    3. 'Congruent' means they have the same measurement
    1. A quadrilateral is a 4-sided polygon
    2. 'Congruent' means that opposite sides are the same length
    1. Rectangles have four right angles
    2. The little boxes on the angles in the diagram means they are right angles
    3. All parallelograms have opposite sides that are parallel and congruent
    4. All rectangles are parallelograms, but not all parallelograms are rectangles
    5. Some parallelograms don't have 4 right angles, so they are not rectangles
    1. A rhombus has four congruent sides
    2. All parallelograms have opposite sides that are parallel and congruent
    3. Since all sides are congruent in a rhombus, opposite sides are congruent
    4. Every rhombus is a parallelogram, but not every parallelogram is a rhombus
    5. Not all parallelograms have all four sides congruent, so they are not rhombuses
    1. A square has four right angles and four congruent sides
    2. The little boxes on the angles in the diagram means they are right angles
    3. All parallelograms have opposite sides that are parallel and congruent
    4. Since all sides are congruent in a square, opposite sides are congruent
    5. All squares are parallelograms, but not all parallelograms are squares
    6. Not all parallelograms have all four sides congruent or four right angles, so they are not squares
    1. A trapezoid has exactly one pair of parallel sides
    2. All parallelograms have opposite sides that are parallel and congruent
    3. Since a trapezoid only has one pair of parallel sides instead of two, trapezoids are not parallelograms