What is the alternate angle theorem?
Table of Contents
What is the alternate angle theorem?
Alternate Angles Theorem Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent. To prove: If two parallel lines are cut by a transversal, then the alternate interior angles are equal.
What is the alternate exterior theorem?
The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent .
Do alternate angles add up to 180?
Alternate angles generally don’t add up to 180 degrees because they are not supplementary angles, but they can add up to 180 degrees if the transversal is perpendicular to the parallel lines.
What are alternate exterior angles in geometry?
Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located “outside” the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles.
What is the difference between a converse and a theorem?
In math, when you have a theorem, you likely have a converse theorem. Do you know what converse means? The converse of a theorem happens when the conclusion and hypothesis of a theorem are switched.
Does SAA prove congruence?
Angle-Angle-Side (AAS or SAA) Congruence Theorem: If two angles and a non-included side in one triangle are congruent to two corresponding angles and a non-included side in another triangle, then the triangles are congruent.
How do you calculate alternate exterior?
To find alternate exterior angles, look at that outside space for each crossed line, on different sides of the transversal. We hope you said ∠1 , ∠2 , ∠7 , and ∠8 are the exterior angles. We also hope you identified ∠1 and ∠8 as a pair of alternate exterior angles and ∠2 with ∠7 as the other pair.
What is the difference between the alternate interior angles theorem and the converse of the alternate interior angles theorem?
In conclusion, the alternate interior angles theorem states that the alternate interior angles will be equal if the lines are parallel, whereas its converse states that lines will be parallel if the alternate interior angles are congruent.
