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TOP 21 Things to Know For the Washington State GEOMETRY EOC #21 “Green” vs. “Yellow” Green Concepts will be on the test and will be part of your score! Yellow Concepts will be on the test and will NOT BE PART OF YOUR SCORE! Do not let them bother you. They include the following: Volume and surface areas of 3d figures (Cones, Spheres, Trapezoids, etc.) Compass and Straight Edge Constructions Circle Stuff - Circle Equations, Secants, Radii, Tangents, Chords. #20 Classifying Triangles “Icicles Are Isosceles” Think of “Obese” #19 Triangle Exterior Angle Rule 140° (Exterior) 40° (Remote Interior) (Remote Interior) 100° #18 The 3 Triangle Segments Midsegment Connects side bisectors, ½ opposite side Median Connects vertex and side bisector (broken into 1/3, 2/3 by centroid) Altitude Connects vertex to opposite side at a right angle. #17 Similar Triangles ~ #16 Polygon Angle Rules #15 Converse, Inverse, Contrapositive Converse - Switch if and then Inverse – Negate both Contrapositive – Switch and negate both #14 Triangle Inequalities Compared to 2 sides, a 3rd Side must be: LSGD: The Less than the Sum 3 side is “Less Greater than the Difference Good” rd #13 Triangle Congruency Proofs Look for and Use: Shared Sides and Angles (Reflexive Property). Vertical Angles (Vertical Angles are ≅). #12 Pythagorean Theorem The “C” is the biggest side #11 Sides and Angles of Triangle Biggest Angle opposite Biggest Side Smallest Angles opposite smallest side #10 Is it a Right Triangle? #9 Coordinate Formulas Square root of the Squares of the differences The average or halfway points between the values #8 SOH-CAH-TOA (Trig Functions) “Some Old Hag Cracked All Her Teeth On Apples” #7 Symbols #6 Coverting between Units Linear (Like in lengths) Use ratio as is Square (Like in area) Square ratio first Cubic (like in volume) Cube ratio first Example 3 feet = 1 yard 9 feet = 1 square yard 27 feet = 1 cubic yard #5 Significant Digits Zeros only count if they are between non zeros. Leading or Trailing Zeros don’t count. .00003 Degree of Precision = 1 1.0003 Degree of Precision = 5 1.2334 Degree of Precision = 5 3 x 107 Degree of Precision = 1 (the 𝑧𝑒𝑟𝑜𝑠 𝑖𝑛 107 𝑑𝑜𝑛′𝑡 𝑐𝑜𝑢𝑛𝑡) #4 Minimum/Maximums Because of rounding the degree of accuracy is half a unit each side of the unit of measure. Example: Paul measured his bedroom as 10 feet long and 12 feet wide. What is the minimum and maximum area of his bedroom? Use 9.5 x 11.5 to get the minimum of 109.25 sq. ft. Use 10.5x 12.5 to get the maximum of 131.25 sq ft. -1 #3 Use to Find Angles If you know the trig ratio but not the angle, Use the corresponding -1 button to find the angle measure. (Push 2nd button 1st) #2 Quadrilateral Properties #1 Four Points of ∆ Concurrency