| A | B |
|---|
| Measure of an exterior angle in comparison to remote interior angles | ext angle is = to the sum of the remote interior ones |
| Sum of the measures of the interior angles of a polygon | 180(n-2) |
| Sum of all exterior angles | 360 |
| Number of diagonals that can be drawn in polygon. | d = n(n-3) / 2 |
| The measure of each exterior angles | 360/n |
| The measure of each interior angle | 180 - (360/n) |
| proportion | an equation stating that two or more ratios are equal |
| extremes | in a proportion, the first and fourth terms |
| means | in a proportion, the 2nd and 3rd terms |
| the product of a the means is equal to... | the profuct of the extremes |
| geometric mean/ mrean proportional | when the means of a proportion are eqaul |
| arithmetic miean | the average of two numbers |
| what proves triangles to be similar? | 2 or 3 congruent corresponding angles, if all the sides are proportional, if 2 corresponding sides are proportional and the included corresponding angles are congruent |
| if a line is parallel to one side of a triangle and intersects the other two sides..... | it divides those two sides proportionally |
| if a ray bisects an angle of a triangle.... | it divides the opposite side into segments that are proportional to the adjacent sides |
| Circumference | 2Pr or Pd |
| Area of a circle | Pi r(squared) |
| Finding the measure and length of an arc | measure - the amount over 360 (the measure of the angle that makes it), legth - (x/360)C |
| Short segment/ mean = | mean/ Long segment |
| Hypotenuse/ short leg | short leg/ Short segment |
| hypoteneuse / long leg | long leg/ long segment |
| distance formula | (square root over all) (x2-x1)SQ + (y2-y1)SQ |
| Sine | opp/hyp |
| Cosine | adj/hyp |
| Tangent | opp/adj |
| cocentric | one circle inside the other |
| if a radius is perpendicular to a chord.... | it bisects the chord |
| if a radius bisects a chord that is not a diameter.... | it is perp. to that chord |
| the perp. bis of a chord passes through ____ | the center of the circle |
| the measure an angle w/ its vertex on the circle is.... | 1/2 the measure of its intercepted arc |
| measure of a chord/chord angle | 1/2 the sum of the measures of the arcs |
| measure of an angle w/ the vertex outside the angle | 1/2 the diff of the measures of the intercepted arcs |
| an angle inscribed in a semicircle is... | a right angle |
| the sum of the measures of a tangent-tangent angle and its minor arc is... | 180 |
| if a parallelogram is inscribed in a circle.... | it must be a rectangle |
| area of a trapezoid | 1/2h(b1 + b2) OR Mh |
| medain of a trapezoid | 1/2(b1 + b2) |
| area of a kite | 1/2 (d1d2) |
| Area of a regular polygon | 1/2ap |
| the ratio of areas of simlar triangles = | the ratio of their corresponding sides SQ |
| Lateral area of a cylinder | Ch |
| Total Area of a cylinder | 2B + Ch |
| Lateral area of a cone | P r slant height |
| Area of a sphere | 4Pr(SQ) |
| Volume of a rectangle box | lwh or Bh |
| Volume of a prism | Bh |
| Volume of a cylinder | Bh |
| Volume of a pyramid | (1/3)bH |
| Volume of a cone | (1/3)Bh |
| Volume of a sphere | (4/3)Pr(CUBED) |
| A trapezoid inscribed in a circle.... | is isoceles |
| If a radius of a circle is perp. to a chord of the circle.... | it bisects the arc of the chord |
