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which of these correctly fills in blank 2 in the paragraph proof of the converse of the alternate interior angles theorem?
transitive property of congruence
Are alternate angles congruent?
Yes. Alternate interior and alternate exterior angles are congruent.
What is meant by alternate Interior angles?
Alternate interior angles are equal on a transversal that passes through parallel lines.
Which lines if any must be parallel based on the given information Given angle 3 is congruent to angle 13?
If angle 3 is congruent to angle 13, it suggests that the lines forming these angles are parallel based on the Alternate Interior Angles Theorem. This theorem states that if a transversal intersects two lines and the alternate interior angles are congruent, then the two lines are parallel. Therefore, the lines that form angles 3 and 13 must be parallel.
Two interior angles on opposite sides of a transversal?
Alternate interior angles.
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.
which of these correctly fills in the blank 3 in the paragraph proof of the converse of the alternate interior angles theorem?
A+
Which theorem guarantees that lines are parallel in the following construction?
3.1 or alternate interior angles ....then the lines are parallel
Are the alternate interior angles of two parallel lines cut by a transveral always interior?
Yes. "Alternate interior" angles are always interior. Angles that are not interior as well as alternate are never accurately described as "alternate interior" angles.
What are two pairs of alternate interior angles?
They are 4 alternate interior angles.
which of these correctly fills in blank 2 in the paragraph proof of the converse of the alternate interior angles theorem?
transitive property of congruence
Are alternate angles congruent?
Yes. Alternate interior and alternate exterior angles are congruent.
What types of angles are equal?
alternate interior and alternate exterior angles
What is meant by alternate Interior angles?
Alternate interior angles are equal on a transversal that passes 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.
Which lines if any must be parallel based on the given information Given angle 3 is congruent to angle 13?
If angle 3 is congruent to angle 13, it suggests that the lines forming these angles are parallel based on the Alternate Interior Angles Theorem. This theorem states that if a transversal intersects two lines and the alternate interior angles are congruent, then the two lines are parallel. Therefore, the lines that form angles 3 and 13 must be parallel.
Two interior angles on opposite sides of a transversal?
Alternate interior angles.
