GEOMETRY REASONS Points, Lines, Planes, and Angles Space is the set of all points. Collinear points are points all in one line. Coplanar points are points all in one plane. The intersection of two figures is the set of points that are in both figures. Statements that are accepted without proof are called postulates or axioms. Ruler Postulate 1. Any two desired points can have coordinates 0 and 1. 2. The distance between any tow points equals the absolute …showed first 75 words of 3262 total…

…showed last 75 words of 3262 total…right triangle, the length of the altitude is the geometric mean between the segments of the hypotenuse. Corollary 2 When the altitude is drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse that is adjacent to that leg. Theorem 6-2 Pythagorean Theorem In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.