Then the alternate angles created would be equal in size.
Only if the lines cut by the transversal are parallel.
true
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.
Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.
When 2 parallel lines are cut by a transversal some of the pairs of angles which are formed are called alternate angles whereas other pairs are called interior angles.
Alternate Exterior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are outside the parallel lines, and on opposite sides of the transversal.
When parallel lines are cut through by a transversal line the alternate angles are equal
Only if the lines cut by the transversal are parallel.
true
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.
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.
Alternate angles on the transversal line are equal
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 are equal and lie on opposite sides of the transversal line that cuts through the parallel lines
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.
Alternate angles are pairs of angles that are formed when a transversal intersects two parallel lines. There are two types of alternate angles: alternate interior angles, which lie between the two lines on opposite sides of the transversal, and alternate exterior angles, which lie outside the lines on opposite sides of the transversal. When the lines are parallel, these angles are equal in measurement. This concept is commonly used in geometry to solve problems involving angle relationships.