Geometry
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46 terms
Terms | Definitions |
|---|---|
 Prism - LA | perimeter of a base x height (ph) |
| Prism - TA | LA = 2 (area of) B |
| Prism - V | area of B x height (bh) |
| Pyramids - LA | 1/2pl |
| Pyramids - TA | LA + base area |
| Pyramids - V | 1/3 B(area)h |
| Cylinder - LA | 2 pi rh |
| Cylinder - TA | LA + 2 B(area) |
| Cylinder - V | pi r-squared h |
| Cone - LA | pi rl |
| Cone - TA | LA + B(area) |
| Cone - V | 1/3 pi r-squared h |
| Sphere - A | 4 pi r-squared |
| Sphere - V | 4/3 pi r-cubed |
| 45-45-90 Theorem | Hypotenuse is square root 2 times as long as a leg |
| 30-60-90 Theorem | hypotenuse is twice as long as the shorter leg, and the longer leg is square root 3 times as long as the shorter leg |
| Parallelogram - A | bh |
| Triangle - A | 1/2bh |
| Rhombus - A | 1/2 d1d2 |
| Trapezoid - A | h/2 (b1 + b2) |
| Trapezoid - Median | 1/2 (b1 + b2) |
| Polygon - A | 1/2 apothem perimeter |
| Circle - Circumference | 2 pi r |
| Circle - A | pi r-squared |
| Sector - A | x/360 pi r-squared |
| Sector - Length | x/360 2 pi r |
| A central angle is ____ to the arc it makes | = |
| Congruent arcs have _______ ______ | congruent chords |
| Chords are equally distant from the center are _______ | congruent |
| An inscribed angle is _______ the arc it makes | half |
| If a quadrilateral is inscribed in a circle, then its opposite angles are ________ | supplementary |
| the measure of an angle formed by a chord and a tangent is equal to ________ the measure of the intercepted arc | half |
| The measure of an angle formed by 2 secants, 2 tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the _______________ of the measure of the intercepted arcs | difference |
| distance formula | d = square root of (x2-x1)^2 + (y2-y1) ^2 |
| equation of a circle | (x - a)^2 + (y - b) ^2 = r^2 |
| slope | y2 - y1/ x2 - x1 |
| 2 nonvertical lines are parallel is and only if their slopes are _____ | = |
| 2 nonvertical lines are perpendicular if and only if their slopes are ________ | opposite reciprocals |
| a ________ _______'s slope is undefined | vertical line |
| a _________ _______'s slope is 0 | horizontal line |
| Find a vector | subtract first coordinates from second coordinates |
| length of a vector | square root of x^2 + y^2 |
| midpoint formula | (x1 + x2/2, y1 + y2/2) |
| standard form | Ax + By = C |
| slope intercept form | y = mx +b |
| point slope form | y - y1 = m(x - x1) |
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