Second Semester Geometry

Survival Guide

Chapter 7: Quadrilaterals

Big Ideas

7.1
-Quadrilateral
  • Four sided polygon
  • Interior angles equal 360°


7.2

-Parallelogram

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


7.3

-Rhombus

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


7.4

-Quadrilaterals in the coordinate plane

~Slope

  • y1-y2/x1-x2

~Distance

  • ((x2-x1)²(y1-y2)²)^½


7.5

-Trapezoid

  • 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
Kite
  • A quadrilateral with two pairs of congruent, adjacent sides
  • Diagonals are perpendicular
  • Exactly one pair of congruent angles


7.7

-Area

  • 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