Corresponding Angles [kawr-uh-spon-ding ang-guhls]
Noun
Corresponding angles are, well, angles which are created when a transversal crosses/intersects two other lines. When this intersection occurs, the matching angle corners are considered to be corresponding each other, therefore the name.
There is a theorem which states that: if the two lines being intersected by the transversal are parallel, then the corresponding angles will be congruent. In the figure below you can clearly see this theorem at work.
There also exists alternate exterior angles and interior angles. Alternate exterior angles are each on the opposite side of the transversal and are on the outside of the two lines. Just like the exterior angles, the alternate interior angles are on the opposite side of the transversal, but unlike the exterior, they're on the inside of the two lines.
Noun
Corresponding angles are, well, angles which are created when a transversal crosses/intersects two other lines. When this intersection occurs, the matching angle corners are considered to be corresponding each other, therefore the name.
There is a theorem which states that: if the two lines being intersected by the transversal are parallel, then the corresponding angles will be congruent. In the figure below you can clearly see this theorem at work.
There also exists alternate exterior angles and interior angles. Alternate exterior angles are each on the opposite side of the transversal and are on the outside of the two lines. Just like the exterior angles, the alternate interior angles are on the opposite side of the transversal, but unlike the exterior, they're on the inside of the two lines.
t=transversal
The following are corresponding angles:
1 and 5
2 and 6
3 and 7
4 and 8
The following are alternate exterior angles:
8 and 1
7 and 2
The following are alternate interior angles:
6 and 3
5 and 4
The following are alternate exterior angles:
8 and 1
7 and 2
The following are alternate interior angles:
6 and 3
5 and 4
No comments:
Post a Comment