3.3. Corresponding Angles http://www.ck12.org
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/1332James Sousa: Corresponding Angles Converse
Guidance
Corresponding Anglesare 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.
Corresponding Angles Postulate:If twoparallel lines are cut by a transversal, then the corresponding angles are
congruent.
Ifl||mand both are cut byt, then^61 ∼=^65 ,^62 ∼=^66 ,^63 ∼=^6 7, and^64 ∼=^6 8.
Converse of Corresponding Angles Postulate:If corresponding angles are congruent when two lines are cut by a
transversal, then the lines are parallel.
Investigation: Corresponding Angles Exploration
You will need: paper, ruler, protractor
- Place your ruler on the paper. On either side of the ruler, draw lines, 3 inches long. This is the easiest way to
ensure that the lines are parallel.