Advanced Mathematics
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31 terms
Terms | Definitions |
|---|---|
 Pythagorean Theorum | In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. a²+b²=c² |
| Triangle Inequality Postulate | the sum of the lengths of any two sides of a triangle is greater than the length of the third side |
| obtuse triangle | a triangle with one angle more than 90 degrees |
| Acute Triangle | All angles in the triangle are less than 90 degrees. |
| Obtuse Pathagorean inequality | If the area of the square drawn on the hypotenuse side of a triangle is greater than the sum of the areas of the squares drawn on the two other sides, the triangle is obtuse. |
| Acute Pathagorean Inequality | If the area of the square drawn on the hypotenuse side of a triangle is less than the sum of the areas of the squares drawn on the two other sides, the triangle is acute. |
| Scale Factor | the ratio of the lengths of two corresponding sides of two similar polygons |
| Polygon | a closed plane figure formed by three or more line segments |
| Vertex | A point where two or more straight lines meet. |
| Concave | A polygon in which at least one vertex appear to be pushed inward. |
| Convex | A polygon in which all vertices appear to be pushed outward. |
| Similar Polygons | Two shapes that have: 1) Congruent corresponding angles 2) Proportional corresponding sides |
| Protractor | a tool used to measure and draw angles |
| Compass | drafting instrument used for drawing circles |
| Bisecting | divided in two equal parts |
| Triangle angle/side principle | The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle |
| primitive terms | undefined terms. Impossible to define exactly so are defined as best as possible. Point, curve, line, plane |
| Congruent | Having the same size and shape |
| Collinear | points that lie on the same line. |
| Plane | A flat surface, (mathematics) an unbounded two-dimensional shape |
| skew | two lines that do NOT lie in the same plane, are not parallel, and do not intersect |
| Supplementary Angles | two angles whose sum is 180 degrees |
| Complementary Angles | two angles whose sum is 90 degrees |
| Transversals | A line INTERSECTING TWO or MORE parallel lines. |
| Exterior Angles | angles on the outside of parallel lines cut by a transversal |
| Interior Angles | angles on the inside of the parallel lines when cut by a transversal |
| Corresponding Angles | lie on the same side of the transversal and in corresponding positions. They are congruent. |
| Alternate Angles | Angles that lay inside the parallel lines and are on opposite sides of the transversal; They are congruent. |
| Postulate | a proposition that is accepted as true in order to provide a basis for logical reasoning |
| sector | the portion of a circle bounded by two radii and one of the intercepted arcs |
| Arc | part of a circle |
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