How do you use the converse of alternate interior angles theorem?
If two lines are cut by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
What is the converse of parallel lines?
The converse of the theorem is true as well. If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Similarly, if two alternate interior or alternate exterior angles are congruent, the lines are parallel.
What is the converse of alternate exterior angles theorem?
The converse of alternate exterior angle theorem states that, if the alternate exterior angles formed by two lines, which are cut by a transversal, are congruent, then the lines are parallel.
What is a converse angle?
If a transversal intersects two parallel lines, then alternate exterior angles are congruent. Converse of the Corresponding Angles Theorem: If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.
Which step is the same in the construction of parallel lines?
Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line? Create a line that intersects the original line. When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular?
What does converse mean in geometry?
The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of “If two lines don’t intersect, then they are parallel” is “If two lines are parallel, then they don’t intersect.” The converse of “if p, then q” is “if q, then p.”
What is the converse of the linear pair theorem?
The converse of the stated axiom is also true, which can also be stated as the following axiom. Axiom 2: If two angles form a linear pair, then uncommon arms of both the angles form a straight line. In the figure shown above, only the last one represents a linear pair, as the sum of the adjacent angles is 180°.