Second Semester Geometry
Survival Guide
Chapter 7: Quadrilaterals
Big Ideas
7.1
-Quadrilateral
-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
-Rhombus
- 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
~Slope
- y1-y2/x1-x2
~Distance
- ((x2-x1)²(y1-y2)²)^½
-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
- A quadrilateral with two pairs of congruent, adjacent sides
- Diagonals are perpendicular
- Exactly one pair of congruent angles
-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