Definitions 29 - Lecture notes 5 PDF

Preview

Summary

math 3...

Description



The definition of the bisector of a segment. A segment bisector is a geometric figure that divides the line segment exactly in half. All of these figures can be segment bisectors: Points. Line segments. Rays.



The definition of an angle bisector. The (interior) bisector of an angle, also called the internal angle bisector, is the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the incenter.



The Midpoint Theorem. Theorem: The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.



The definition of perpendicular. Perpendicular lines are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph. These 90-degree angles

are also known as right angles. ... When the lines are parallel or perpendicular, text will appear to let you know you have done it! o Look at the slopes of the two parallel lines.



The definition of mediatrix. mediatrix (plural mediatrices or mediatrixes) A female mediator. The line that is perpendicular to a line segment and intersects the line segment at its midpoint.



The properties of parallel lines. the pair of alternate angles is equal, then two straight lines are parallel to each other. the pair of interior angles are on the same side of traversals is supplementary, then the two straight lines are parallel.



The properties of the angles opposite the vertex. The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertically opposite angles. “Vertical" refers to the vertex (where they cross), NOT up/down....