identification of corrosponding angles, alternative interior and exterior angles and consecutive interior angles.
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CORRESPONDING ANGLES
Corresponding Angles are two angles that are in the “same place” with respect to the transversal, but on different lines. Imagine sliding the four angles formed with line
ALITERNATIVE INTERIOR ANGLES
If the two lines are parallel then the alternate interior angles are congruent. If lines are parallel then corresponding angles are congruent, alternate interior angles are congruent and alternate exterior angles are congruent.
ALTERNATIVE EXTERIOR ANGLES
One way to identify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles. Alternate exterior angles are equal to one another. When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
CONSECUTIVE INTERIOR ANGLES.
The relation between the consecutive interior angles is determined by the consecutive interior angle theorem. The "consecutive interior angle theorem" states that if a transversal intersects two parallel lines, each pair of consecutive interior angles are supplementary (their sum is 180∘ ).