Additional Topics in Math Lessons 1-2 Using Formulas Surface Area and Volume of Other Shapes Computations Involving Angles and Lines Computations Involving Triangles Determining Lengths and Angles for Special Right Triangles Computing Polygon Line Lengths and Angle Measures

Using Formulas Be sure to access the test information page Remember height must be measured vertically Plug in what you have and solve for the missing piece Watch your units Lengths, circumference, etc – ft, cm, in, m Area – ft2, cm2, in2, m2 Volume – ft3, cm3, in3, m3

Surface Area and Volume of Other Shapes Add multiple shapes together Find a shape and subtract the missing pieces

Computations Involving Angles and Lines Vertical angles are equal Straight Lines are 180̊

Computations Involving Triangles Triangles contains 180̊ Isosceles triangles have two equal sides and two equal angles Isosceles triangles can be cut into two equal halves with an altitude Equilateral triangles have 3 equal sides and 3 60̊ angles Right triangles have one right angles and two acute angles that add to 90̊ The Pythagorean Theorem can be used to find missing sides of a right triangle

Determining Lengths and Angles for Special Right Triangles 45̊-45̊-90̊ triangles have sides of 1, 1, √2 Or x, x, x√2 30̊-60̊-90̊ triangles have sides of 1, 2, √3 Or x, 2x, x√3 Remember shortest side is opposite smallest angle and longest side is the hypotenuse

Computing Polygon Line Lengths and Angle Measures In a triangle the longest side must be shorter than the sum of the other two sides The Sum of Exterior Angles (one at each vertex) of a polygon equals 360 The Sum of Interior Angles of a polygon equals 180(n – 2) because you can split the polygon into (n – 2) triangles Parallel lines make congruent angles and supplementary angles