Second Semester Geometry

Survival Guide

Chapter 7: Quadrilaterals

Big Ideas

  • Four sided polygon
  • Interior angles equal 360°



  • A Quadrilateral
  • Opposite sides are parallel and congruent
  • Opposite angles are congruent
  • Consecutive angles are supplementary
  • Diagonals bisect each other



  • A parallelogram
  • All sides are congruent
  • Diagonals are perpendicular
  • Each diagonal bisects a pair of opposite angles
  • A parallelogram
  • Has 4 congruent angles
  • Diagonals are congruent
  • A rhombus and a rectangle


-Quadrilaterals in the coordinate plane


  • y1-y2/x1-x2


  • ((x2-x1)²(y1-y2)²)^½



  • A quadrilateral with exactly one pair of // sides
  • The // sides are the bases
  • Has two pairs of base angles
  • Nonparallel sides are the legs
  • If legs are congruent then it is an Isosceles trapezoid
  • A quadrilateral with two pairs of congruent, adjacent sides
  • Diagonals are perpendicular
  • Exactly one pair of congruent angles



  • Parallelogram=bh
  • Trapezoid=½h(b1+b2)
  • Kite or Rhombus=½(d1d2)
  • Triangle=½bh

Tips to students

  • Remember base*height(bh)
  • Just divide by two instead of multiplying by half

tricky subjects

  • The area formula isn't bh like the others so you will have to just remember it

Making the project

  • Smore is very easy to use and looks nice when done