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Can all alternate interior and corresponding angles formed by two parallel lines and a transversal be congruent?
Wiki User
∙ 11y ago
Sure. Just as long as the transversal is perpendicular to the parallel lines.
Wiki User
∙ 11y ago
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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.
Parallel lines form congruent alternate interior angles?
Parallel lines cut by a transversal form congruent alternate interior angles.
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
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.
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.
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?
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 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.
