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Are alternate exterior angles congruent?
Only if the lines cut by the transversal are parallel.
What is the converse of parallel lines conjecture?
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.
Why are alternate interior angles and alternate exterior angles both called alternate?
Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.
If two parallel lines are cut by a transversal then the alternate exterior angles are?
Then the alternate angles created would be equal in size.
Angles that lie outside a pair of lines but on opposite sides of the transversal?
Alternate exterior angles
If two lines are intersected by a transversal so that the alternate exterior angles are congruent, then the lines are perpendicular.?
false
Is this statement true or falseIf two lines are intersected by a transversal so that the alternate exterior angles are congruent, then the lines are perpendicular.?
false
If two parallel lines are intersected by a transversal, then the alternate exterior angles are complementary.?
false
Are alternate exterior angles congruent?
Only if the lines cut by the transversal are parallel.
Are alternate exterior angles always congruent?
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.
What is the converse of parallel lines conjecture?
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.
What are equal and lie on either side if transversal?
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.
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 what are the lines?
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.
Uses of parallel lines cut by a transversal?
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.
Transversal means what?
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.
What does alternate exterior angle mean?
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.
What is special about alternate exterior angles?
Alternate angles on the transversal line are equal
