Grade 8 - Unit 3: Geometric Applications of Exponents
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Created by:
bookswan Plus on July 13, 2012
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Classes:
CCGPS Math Grades 6-12, Grade 8 CCGPS
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28 terms
Terms | Definitions |
|---|---|
 Altitude of a Triangle | The perpendicular distance between a vertex of a triangle and the side opposite that vertex. Sometimes called the height of a triangle. Also, sometimes the line segment itself is referred to as the altitude. |
| Base (of a Polygon) | For two-dimensional figures, any side can be a base. Typically, however, the bottom side, on which the polygon 'sits,' is called the base. |
| Coordinate Plane | A two-dimensional surface on which points are plotted and located by their x and y coordinates. |
| Coordiante Point of a Plane | A pair of numbers defining the position of a point on a two-dimensional plane. |
| Cone | A three dimensional figure with a circular or elliptical base and one vertex. |
| Converse of Pythagorean Theorem | If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, the triangle is a right triangle. |
| Cubed Root | One of three identical factors of a number that is the product of those factors. |
| Cylinder | A three dimensional object with two parallel, congruent, circular bases. |
| Deductive Reasoning | The process by which one makes conclusions using known facts, definitions, rules, or properties. |
| Diameter | The distance across a circle through its center. The line segment that includes the center and whose endpoints lie on the circle. |
| Distance Formula | An application of the Pythagorean Theorem based on the distance between two points. |
| Geometric Solid | The collective term of all bounded three dimensional geometric figures. |
| Height of Solids | The vertical height (or altitude) which is the perpendicular distance from the top down to the base. |
| Hypotenuse | The hypotenuse is the side of a right triangle that is directly across from the right angle. |
| Irrational | A real number whose decimal form is non-terminating and non-repeating that cannot be written as the ratio of two integers. |
| Leg of a Triangle | Either of the two shorter sides of a right triangle. These two sides together form the right angle in the right triangle. |
| Literal Equation | An equation with more than one variable. Formulas are literal equations. |
| Perfect Squares | The product of a rational number multiplied by itself. |
| Perfect Cubes | In arithmetic and algebra, the cube of a number n is its third power. It is the result of the number multiplying by itself three times. |
| Pythagorean Theorem | A theorem that states that in a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs. |
| Pythagorean Triples | A set of positive integers, a, b, and c that fit the rule a^2 + b^2 = c^2. |
| Sphere | The set of all points in space that are equidistant from a fixed point, called the center. |
| Square Root | The square root of a number is a special value that, when multiplied by itself, gives the number. |
| Radius | The distance from the center of a circle to any point on the circle. Also, the line segment that has the center of the circle as one endpoint and a point on the circle as the other endpoint. |
| Radical | A symbol that is used to indicate square roots. |
| Rational Number | Any number that can be expressed as the quotient a/b of two integers, with the denominator b not equal to zero. |
| Right Triangle | A triangle with exactly one right angle. |
| Volume | The amount of space occupied by an object. |
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