Univ. of Wisconsin
J.D. Univ. of Wisconsin Law school
Brian was a geometry teacher through the Teach for America program and started the geometry program at his school
Corresponding angles can apply to either two polygons or parallel lines cut by a transversal. In both cases, corresponding angles are in the same position. If the two polygons are congruent, then the corresponding angles are also congruent. If the two lines are parallel, then the corresponding angles created by the transversal are congruent.
Well we're talking about parallel lines and a transversal. The first key thing that you have to remember is how to do we mark parallel lines. Well here you can notice that I've marked arrows on these two lines which tell you the viewer or you the Geometry student that these two lines will never intersect in this plane.
We're going to start off by talking about blank angles. Well if two parallel lines are intersected by a transversal which is this line right here, then some sort of angles must be congruent. Well that's going to be corresponding. So corresponding angles what does it mean that something corresponds in relation to parallel lines? Well it means that the angles are in the same position just on a different parallel line. So if I chose angle one, the corresponding angle will be angle five cause if you notice, we have a parallel line, we have our transversal and one is in the upper left corner.
To pick out another one, angle three. The corresponding angle of three would be seven. Notice these two are in the same position. So if these two lines are parallel, and if that it's cut by a transversal then your corresponding angles will always be congruent.