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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.
What are necessary when proving that the opposite sides of a parallelogram are congruent?
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent
Are same side interior angles congruent?
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.
If alternate interior angels are congruent then the lines are?
Then the lines are parallel to each other and the alternate equal angles are created when a transversal line cuts through parallel lines.
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.
Are alternate angles congruent?
Yes. Alternate interior and alternate exterior angles are congruent.
Parallel lines form congruent alternate interior angles?
Parallel lines cut by a transversal form congruent alternate interior angles.
Alternate interior angles are?
they are congruent i think
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.
Are all alternate interior angles congruent?
Sometimes they are.
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.
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?
The alternate interior angle theorem states that when two parallel lines are cut by a transversal, the alternate interior angles formed are congruent. In other words, if two parallel lines are crossed by a third line, then the pairs of alternate interior angles are equal in measure.
If two parallel lines are cut by a transversal then the alternate interior angles are always?
Congruent
What are necessary when proving that the opposite sides of a parallelogram are congruent?
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are 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.
Are alternate interior angles complementary?
Not NecessarilyAlternate interior angles are congruent, or equal. They have the same angle measure, while complementary means they add up to 90 degrees. Therefore, the only time alternate interior angles are complementary is when they are exactly 45 degrees.
