CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 3. Parallel and Perpendicular Lines


Notice that this is a different construction from a perpendicular bisector.


To see a demonstration of this construction, go to: http://www.mathsisfun.com/geometry/construct-perponline.html


Angles and Transversals


Transversal:A line that intersects two distinct lines. These two lines may or may not be parallel.


The areabetween landmis the called theinterior. The areaoutside landmis called theexterior.


Looking att,landm, there are 8 angles formed and several linear pairs vertical angle pairs. There are also 4 new
angle relationships, defined here:


Corresponding Angles:Two angles that are in the “same place” with respect to the transversal, but on different
lines. Imagine sliding the four angles formed with lineldown to linem. The angles which match up are correspond-
ing.^62 and^66 are corresponding angles.


Alternate Interior Angles:Two angles that are on theinterior oflandm, but on opposite sides of the transversal.


(^63) and (^66) are alternate interior angles.

Free download pdf