GEOMETRY NOTES

Rectangles -0

  • Opposite Sides are Congruent
  • Opposite sides are parallel
  • Opposite Angles are congruent
  • Consecutive Angles are Supplementary
  • Diagonals bisect each other
  • Diagonals are congruent
  • All Angles are right angles

How to Find parts of a rectangle

  • Diagonals create isosceles triangles
  • 90 degree angles in each corner
  • Diagnals are congruent
  • Diagnals bisect

How to Find rectangles

  • Prove diagonals are congruent and bisect each other
  • Prove all angles are 90 degree angles
  • Show one set of sides is parralel and opposite angles are congruent.

Rhombus -0

  • Perpendicular diagonals
  • All four sides are congruent
  • Diagonals bisect the angles
  • Consecutive angles are supplementary
  • Opposite angles are congruent
  • Opposite sides are parallel
  • Opposite sides are congruent

How to find parts of the rhombus

  • 4 congruent sides
  • Diagnals are perpendicular (90)
  • Diagonals Bisect the angles

How to Find a Rhombus

  • If all sides of a quad are congruent
  • If Diagonals bisect the angles
  • Diagonals are perpendicular to each other

Square

  • ALL THE PROPERTIES OF RECTANGLES AND RHOMBUS

How to find a square

  • Prove all sides are congruent and diagonals bisect each other
  • Prove all sides are congruent and all angles are 90 degrees

Parallelograms

  • Both pairs of opposite sides are parralel
  • Angles next to each other are supplementary (180 degrees)
  • Two pairs of opposite sides are congruent
  • oppisite angles are congruent

How to find parts of a Parallelogram

  • Angles next to each other are supplementary
  • opposite angles are congruent
  • opposite sides are congruent

How to find a Parallelogram

  • If one pair of oppisite sides are congruent and parralel
  • Diagonals Bisect each other
  • Both pairs of oppisite angles are congruent
  • both pairs of opposite sides are congruent
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