FC: Geometry Scrapbook | Breyana 3rd Period November 2012
1: Table Of Contents | Page 2&3- Plane Page 4&5- Angles and Their Measures Page 6&7- Segment and Angle bisectors Page 8&9- Complementary, Supplementary and Adjacent Angles Page 10&11- Parallel LInes and Transversal's Page 12&13- Perpendicular Lines Page 14&15- Triangles Page 16&17- Pythagorean Theorem and Distance Formula Page 18&19- Congruent Triangles PAge 20&21- Polygons
2: Plane | Has two dimensions and is represented by a shape that looks like a floor, wall, or a parallelogram.
3: Ex. | This plane is called plane m, because it is a single letter or if the m wasn't there it would be called by three non-collinear points (plane ABC). | Example of a plane in real life. (White Board)
4: Angles and Their Measures | Acute Angle: Measure is between 0 degrees and 90 degrees | Right Angle: Measure is exactly 90 degrees
5: Obtuse Angle: Measure is between 90 degrees and 180 degrees | Straight Angle: Measure is exactly 180 degrees
6: Segment Bisectors | A segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint.
7: Angle Bisectors | An angle bisector is a ray that divides an angle into two angles that are congruent.
8: Supplementary Angles | Two angles are supplementary if the sum of their measures is 180 degrees. | Complementary Angles: | Two angles are complementary angles if the sum of their measures is 90 degrees.
9: Adjacent Angles | Two angles are adjacent angles if they share a common vertex and side, but no common interior points.
10: Parallel lines | Two lines are parallel lines if they lie in the same plane and do not intersect
11: Angles formed by transversal's
12: Perpendicular Lines | Two lines are perpendicular lines if they intersect to form a right angle.
14: Triangles | A triangle is a figure formed by three segments joining three noncollinear points.
16: Pythagorean Theorem | In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
17: Distance Formula | if A(x, y,) and B(x2, y2) are points in a coordinate plane, then the distance between A and B is AB= (x2 - x,)2 + (y2- y,)2 | Example: