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Then the lines are parallel to each other and the alternate equal angles are created when a transversal line cuts through parallel lines.
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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.
Are alternate interior angles congruent?
Only if the lines cut by the transversal are parallel.
Are alternate exterior angles congruent?
Only if the lines cut by the transversal are parallel.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.?
true
Which theorem guarantees that lines are parallel in the following construction?
3.1 or alternate interior angles ....then the lines are parallel
Parallel lines form congruent alternate interior angles?
Parallel lines cut by a transversal form congruent alternate interior angles.
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. The only time you will see correpsonding, alternate interior, and alternate exterior angles is with a parallel transversal line.
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.
Are alternate interior angles congruent?
Only if the lines cut by the transversal are parallel.
If two parallel lines are cut by a transversal then the alternate interior angles are always?
Congruent
If alternate interior angles are congruent than lines are parallel what is it called?
It is the transversal line that cuts through parallel lines creating alternate equal angles.
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.
Alternate interior angle theorem?
Theorem 9.1:[Alternate Interior Angle Theorem] If two lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines are non-intersecting.
What is a line that intersects parallel lines?
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
Is this statement true or falseIf two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.?
true
What is a line that intersects two parallel lines?
a transversal line If a transversal intersects two parallel lines, then the alternate interior 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.
