The lines are parallel. The only time you will see correpsonding, alternate interior, and alternate exterior angles is with a parallel transversal line.
Corresponding or alternate exterior.
false
A transversal is simply a line that passes through two or more other lines . (the lines should be in the same plane) Transversals are important becasue if a transverals passes through or intersects two parallel lines we get some special angle congruences. The alternate interior angles are on opposite sides of the transversal line and inside the lines being transversed. Alternate exterior angles are on opposite sides of the transferal line and outside the lines being transversed. The alternate interior and alternate exterior angles are congruent if the lines being crossed by the transversal are parallel ( NOT to each other, the two alternate interiors are congruent and the two alternate exteriors are congruent.
When two parallel lines are cut by a transversal, the two pairs of angles on opposite sides of the transversal and outside the parallel lines, and the angles in each pair are congruent.
Alternate angles on the transversal line are equal
If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.
Corresponding or alternate exterior.
Only if the lines cut by the transversal are parallel.
There's lots of useful things you can discover when parallel lines are cut by a transversal, most of them having to do with angle relationships. Corresponding angles are congruent, alternate interior angles are congruent, same side or consecutive interior angles are supplementary, alternate exterior angles are congruent, and vertical angles are congruent.
true
false
false
A transversal is simply a line that passes through two or more other lines . (the lines should be in the same plane) Transversals are important becasue if a transverals passes through or intersects two parallel lines we get some special angle congruences. The alternate interior angles are on opposite sides of the transversal line and inside the lines being transversed. Alternate exterior angles are on opposite sides of the transferal line and outside the lines being transversed. The alternate interior and alternate exterior angles are congruent if the lines being crossed by the transversal are parallel ( NOT to each other, the two alternate interiors are congruent and the two alternate exteriors are congruent.
When two parallel lines are cut by a transversal, the two pairs of angles on opposite sides of the transversal and outside the parallel lines, and the angles in each pair are congruent.
Yes. Alternate interior and alternate exterior angles are congruent.
Alternate angles on the transversal line are equal
1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles