##### Created by:

mendheim  on September 8, 2012

##### Description:

Concepts and vocabulary from Saxon Advanced Mathematics

##### Classes:

Challenge 2 Bloomington

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 Pythagorean TheorumIn a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. a²+b²=c²
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#### 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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