Tai-Yu Wang
Math notes
Angle Relationships
- These 5 angles prove that line are parallel
| Angle Pair | Description |
|---|---|
| Alternate Interior Angeles | They are both equal to each other |
| Alternate Exterior Angles | They are both equal to each other |
| Same Side Interior Angles | They are equal to 180 |
| Same Side Exterior Agnles | They are equal to 180 |
| Correspoing Angles | They are both equal to each other |
- These 2 do not prove that lines are parallel
| Angle Pair | Description |
|---|---|
| Vertical Angles | They are both equal to each other |
| Linear Pair | They are equal to 180 |
Some examples of what certain angle relationships look like are above
- 6 and 4, as well as 5 and 3, are examples of alternate interior angles
- 7 and 1, as well as 8 and 2, are examples of alternate exterior angles
- 3 and 6, as well as 4 and 5, are examples of same side interior angles
- 1 and 8, as well as 2 and 7, are examples of same side exterior angles
- 2 and 6, 3 and 7, 1 and 5, and finally 4 and 8 are examples of corresponding angles
- 2 and 4, 1 and 3, 5 and 7, and 8 and 6, are all examples of vertical angles
- 1 and 2, 4 and 3, 5 and 6, and 8 and 7 are only some of the linear pairs in this digram
| Shapes | Area Formula |
|---|---|
| Square/Rectangle | A = lw |
| Triangle | A = $\frac{b}{h}$ |
| Circle | A = $\pi r^{2}$ |
| Hexagon | A = $\frac{3\sqrt{3}}{2}a^{2}$ |