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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.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.?
true
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.
What angle relationships created when lines are cut by transversal?
1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles
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.
Are alternate angles congruent?
Yes. Alternate interior and alternate exterior angles are 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.
Alternate exterior angles?
Two angles that are congruent to each other and are on opposite sides of the parellel lines
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.?
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 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.
If two lines are intersected by a transversal so that the alternate exterior angles are congruent, then the lines are perpendicular.?
false
What types of angles are equal?
alternate interior and alternate exterior angles
What is the meaning of alternate exterior angles?
When a line transverses parallel lines the alternate exterior angles of that line are equal
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
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.
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.
