Chapter 6 geometry quadrilaterals

Polygon

DEF: 4 sided polygon

Sum of interior angles (n-2) 180

Sum of exterior angles equal 360 degrees

Parallelogram

DEF: 2 pairs of opposite sides parallel

Opposite sides congruent

Opposite angle congruent

One angle equal 90 then all are 90

Consecutive angles are supplementary

Diagnosis separate parallelogram into 2 congruent triangles

Rectangle

DEF: 4 right angles

Diagonals are congruent

Square

DEF: 4 congruent sides and 4 congruent angles

both rectangle and rhombus then its a square

Rhombus

DEF: 4 congruent sides

Diagonals are perpendicular

diagonals bisect a pair of opposite angle (angle bisector)

Trapezoid

DEF: exactly one pair of parallel sides

Connects midpoint to the legs of trapezoid

1/2(b1+b2)

Isosceles Trapezoid

DEF: legs of trapezoid congruent

Each pair of base angel congruent

Diagonals congruent

Kite

DEF: exactly 2 pairs of consecutive congruent sides

Diagnonals are perpendicular

Exactly one pair of opposite angles is congruent