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GHSGT MATH QUICK REVIEW PYTHAGOREAN’S THEOREM ***Remember – use only in a right triangle. *** a² + b² = c² c a b C is always opposite of the right angle. Examples x y 35 15 12 21 x² + 21² = 35² x 352 212 15² + 12² = y² y 15 12 2 Remember – If you are looking for c, add. If you are given c, subtract. The last step is always – take the square root. 2 Angles Complementary angles – 2 angles that add up to 90 Supplementary angles – 2 angles that add up to 180 1 3 2 m1 + m2 = 90 4 m3 + m4 = 180 QUADRANTS 8 6 II (-,+) -10 4 2 -5 III (-,-) I(+,+) 5 -2 -4 -6 -8 IV (+,-) 10 PARALLEL AND PERPENDICULAR LINES Parallel lines never cross and they have the same slope. Perpendicular lines intersect to form right angles and slopes are opposite reciprocals. TYPES OF ANGLES Acute angle – measure is less than 90 Right angle – measure equals 90 Obtuse angle – measure is between 90 and 180 Straight angle – measure equals 180 ( a straight angle is a line) TYPES OF TRIANGLES CLASSIFY BY SIDES CLASSIFY BY ANGLES Scalene – no sides equal Isosceles – two sides equal Equilateral – all sides equal Acute – three acute angles Right – one right angle Obtuse – one obtuse angle Equiangular – all angles equal STATISTICS Mean = average Median = middle number (put numbers in order first) Mode = number that occurs most often Range = largest number – smallest number PERCENT A percent must be multiplied by a number. 25% of 60 means .25 (60) = 15 IS OF = % 100 Perimeter = distance around the outside ( add up all the sides) Area = space the figure covers (formulas are given) Volume = amount needed to fill a shape (formulas are given) Equations of Lines Y = mx + b m = slope b = y-intercept Slope = rise / run or Y2 Y1 Slope = Vertical lines Equation will look like x=3 Slope is undefined Horizontal lines Equation will look like y=5 Slope is 0 X 2 X1 TRANSFORMATIONS Translation - slide Rotation - turn Reflection - flip IT’S TEST TIME!!! Do not rush through the test. Take your time and think about each question. Make sure you answer the question that is asked. GOOD LUCK!