| A | B |
|---|
| kite | quad with 2 pairs of cosecutive congruent sides |
| Horizontal line of a kite | Bisected diagonal |
| Verticle line of a kite | Line of symmetry |
| A quadrilateral is a kit if...? | Diagonals are perp; 1 pair of opposite angles are congruent; it is convex; 1 of the diagonals is a line of symmetry and the other diagonal is bisected |
| Ways to prove a quad is a parallelogram? | Show opposite sides are parallel; show opposite angles are congruent; show 1 angle is supplementary to both of its consecutive angles; show that the diagonals bisect each other; show opposite sides congruent; show 1 pair of sides is both parallel and congruent |
| Ways to prove a parallelogram is a rectangle? | Show 1 angle is a right angle; show diagonals are congruent |
| Ways to prove a parallelogram is a rhombus? | Show 2 consecutive sides are congruent; show diagonals are perp; show the diagonals are angle bisectors |
| Ways to prove a parallelogram is a square? | Combination of showing 1 way to prove it is a rhombus and one way to prove it is a rectangle |
| Indirect proof | Proof by contradiction |
| Area of a rectangle, square, parallelogram, and rhombus | Area=bh |
| OTHER area of a rhombus and area of a kite | Area=1/2d1d2 |
| Area of a triangle | Area=1/2bh |
| Area of a trapezoid | Area=1/2h(b1+b2) |
| Circumference | Perimeter of a circle= Pi x Diameter/ Pi x 2 x r |
| Archimedes | Around 300 BC found circumference of a circle by calculating the perimeter of a hexagon inscribed and circumscribed about the same circle |
| The perimeter of the inscribed hex vs. the perimenter of the circumscribed Hex | P inscribed Hex<Circumference<P circumscribed Hex |
| How far did Archimedes go? | To 96-gon; 3 10/71< <3 1/7 |
| What happened every time Archimedes took the circumference over the diameter? | He got Pi |
| When was the Pi symbol first used? | 1706 |
| What is the area of a circle? | Pi x r^2 |
