Useful for MTH 4153 & 4273

Including lessons in introduction, examples in characters and exercises in missions!

Angles

- Complementary angles
- Supplementary angles
- Congruent angles
- Vertically opposite angles
- Angles from transversing two parallel lines

Congruent and similar triangles

- Congruent triangles – SSS, SAS, ASA
- Similar triangles – SSS, SAS, AA

Pythagorean theorem & trig. ratios

- Pythagorean theorem
- Sin ratio
- Cos ratio
- Tan ratio

Metric relations

- Length of a leg of a right triangle is the geometric mean between the length of its projection on the hypotenuse and the length of the hypotenuse
- Length of the altitude to the hypotenuse of a right triangle is the geometric mean between the lengths of the segments of the hypotenuse
- Product of the lengths of the legs of a right triangle is equal to the product of the length of the hypotenuse and the length of the altitude to the hypotenuse

Sine and cosine laws

- Sine law
- Cosine law (optional for MTH 4153, required for MTH 4273)

Distance between two points & point of division

- Distance between two points
- Midpoint
- point of division – m:n ratio
- point of division – p/r of the way

Area of a triangle

- Area of a triangle using base and height
- Area of a triangle using the SAS/trig. formula
- Area of a triangle using the Hero’s formula