Yes. Alternate interior and alternate exterior angles are congruent.
The lines are parallel. When a transversal intersects two lines, corresponding angles, alternate interior angles, and alternate exterior angles are congruent only if the lines are parallel. This is a fundamental property of parallel lines and transversals in geometry.
When a line transverses parallel lines the alternate exterior angles of that line are equal
false
When two lines are cut by a transversal, the angles that are equal and lie on either side of the transversal are known as alternate interior angles or alternate exterior angles. Alternate interior angles are located between the two lines but on opposite sides of the transversal, while alternate exterior angles are found outside the two lines, also on opposite sides of the transversal. These angles are congruent when the two lines are parallel.
Yes. Alternate interior and alternate exterior angles are congruent.
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.
Only if the lines cut by the transversal are parallel.
Two angles that are congruent to each other and are on opposite sides of the parellel lines
true
The lines are parallel. When a transversal intersects two lines, corresponding angles, alternate interior angles, and alternate exterior angles are congruent only if the lines are parallel. This is a fundamental property of parallel lines and transversals in geometry.
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.
false
alternate interior and alternate exterior angles
Congruent
When a line transverses parallel lines the alternate exterior angles of that line are equal
false