What is alternate exterior angles converse?
Converse of the Alternate Exterior Angles Theorem: If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.
What is alternate interior angle property?
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
What is the difference between alternate exterior angles and interior angles?
Alternate exterior angles are created in the space outside the parallel lines on alternating sides; interior angles are created in the space inside the parallel lines.
What is alternate interior angles example?
The term alternate interior angles is often used when two lines are cut by a third line, a transversal . The Alternate Interior Angles Theorem states that if k and l are parallel , then the pairs of alternate interior angles are congruent . That is, ∠2≅∠8 and ∠3≅∠5 .
What is alternate angle with example?
Alternate Angles Theorem Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent. To prove: If two parallel lines are cut by a transversal, then the alternate interior angles are equal.
What is alternative angle example?
Alternate Angle Definition Alternate angles are shaped by the two parallel lines crossed by a transversal. Consider the given figure, EF and GH are the two parallel lines. If two parallel lines are cut by a transversal, then the alternate angles are equal.
How do you prove converse of a statement?
To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of “If it rains, then they cancel school” is “If they cancel school, then it rains.” To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
What is the converse of alternate exterior angles theorem?
Problem
What are alternate interior and exterior angles?
– The alternate interior angles are equal in measure. – They lie on the alternate sides of the transversal. – They lie in between the interior of the two lines. – In other words, the angles that lie on the inner side of the parallel lines but on the opposite sides of the transversal.
What is the alternate interior angle theorem?
What is the Alternate Interior Angles Theorem? The alternate interior angles theorem states that if a transversal crosses the set of parallel lines, the alternate interior angles are congruent. Two lines that never intersect, are equidistant, and are coplanar are called parallel lines. The symbol for parallel to is II.
What is the definition of alternate interior angles?
Alternate interior angles are those angles that have different vertices, they lie on the alternate sides of the transversal and are in between the interior of the two lines.