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.
To identify two angles that are alternate exterior angles, we can consider a pair of parallel lines cut by a transversal. For example, if we have lines ( l ) and ( m ) as parallel lines and line ( t ) as the transversal, then angle 1 (located on one exterior side of line ( l )) and angle 2 (located on the opposite exterior side of line ( m )) would be alternate exterior angles. These angles are equal, demonstrating the property of alternate exterior angles formed by a transversal intersecting parallel lines.
Yes, alternate exterior angles are always congruent when two parallel lines are cut by a transversal. This is a fundamental property in geometry that arises from the parallel nature of the lines. If the lines are not parallel, the alternate exterior angles may not be congruent.
true
false
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 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.
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
Alternate angles are equal and lie on opposite sides of the transversal line that cuts through the parallel lines