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Math Midterm !!🤮
Question | Answer |
---|---|
Supplementary Angles | Two angles that add to 180° |
Complementary Angles | Two angles that add to 90° |
Colinear points | Points that are on the same line |
Coplanar points | Points that are on the same plane |
Pythagorean Theorem | a^2 + b^2 = c^2 |
What is the c in Py. Thm. | Hypotenuse |
What is the a and b in Py. Thm. | Legs |
Midpoint formula | (x,y) = (x2+x1/2, y2+y1/2) |
Distance formula | d = √(x2-x1)^2 + (y2-y1)^2 |
45-45-90 Special Rights | hyp = leg · √2 leg = hyp/√2 |
30-60-90 Special Rights | sl = 1/2 hyp hyp = 2sl ll = sl√3 |
Formula for area of triangle | A = 1/2 bh |
Formula for area of parallelogram | A = bh |
Formula for area of kite/rhombus | A = 1/2 d1d2 |
Formula for area of trapezoid | A = 1/2(b1+b2)h |
Acute | Less than 90° |
Obtuse | Greater than 90°, less than 180° |
Right | 90° |
Straight | 180° |
When do you use inverse sohcahtoa | When you need to find a missing ANGLE; looking for θ |
Soh | Sinθ = opp/hyp |
Cah | Cosθ = adj/hyp |
Toa | Tanθ = opp/adj |
When to use sohcahtoa | to find missing SIDE |
Piece of circumference = | Arc Length |
Arc Length = | m</360 · 2π r |
Formula for area of circle | π r^2 |
Formula for perimeter of circle (theres 2) | C = 2 πr C = πd |
Perimeter of a circle | Circumference |
Angle relationships | <ABD = <ABC + <BCD <ABC = <ABD + <DBE + <EBC |
Regular Polygon | All sides are the same length |
Formula for Reg Polys | A = 1/2 nsa OR A = 1/2 Pa |
A = 1/2 nsa; n = | number of sides |
A = 1/2 nsa; s = | length of sides |
A = 1/2 nsa; a = | apothem |
Segment Additional Postulate | AC = AB + BC |
Congruent sides | AB congruent to BC; therefore AB = BC |
Piece of area = | Area of Sector |
Formula for Area of Sector | = m</360 · π r^2 |