Semester Review A guide 

Part 1: Explanations (5 questions) How to find the exact value of sin/cos/tan of 0, 30, 45, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330, 360 using the unit circle and SRT’s. Similarity theorem – use AA, SAS, SSS to determine whether triangles are similar and draw conclusions based on that similarity Derive the area formulas – parallelogram, triangle, quad with perp diagonals, trapezoid Use inscribed angles and similarity to explain why a theorem is true (circles) Quadrilateral theorems (must explain 2)

Part 2: Calculations (5* questions) Solve a right triangle (trig, Pythag) Find the area of a quadrilateral – must use 30- 60-90 to find missing side before calculating area Use circle theorems to show triangles are similar – calculate area of similar figures Write proportions to solve for side lengths Use that ratio of areas = (ratio sides)^2 Calculate the area of a sector Find the volume and surface area of a solid (you will get a formula sheet) Find the area of a regular hexagon Area of circle

Vocab/Theorems in general Midsegment Sine, cosine, tangent Unit circle Area postulates – 1, 2, 3 Midquad Rhombus/llogram (know difference between definitions and theorems) Secant segments Inscribed angles ½ arc Tangent segments perp to radii

Vocab/Theorems in general AA similarity Side splitter v/s similar triangles Pythagorean theorems Height v/s slant height – find one using the other