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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. 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.
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.
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.
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 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.
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. 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.
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
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.
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.
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.
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.
What is a two-column proof?
2 Column Proof: If a transversal intersects two parellel lines, then alternate interior angles are congruent.
