# Converse Of The Alternate Interior Angles Theorem

Converse Of The Alternate Interior Angles Theorem. ∠4 = ∠5 and ∠3. Converse of alternate interior angles theorem [click here for sample questions] according to the antithesis of the alternate interior angle theorem, “if the alternate interior.

In this video i take students through an example that using the converse of the corresponding angles postulate to prove the converse of the alternate interio. If a pair of parallel lines is intersected by a transversal, then the alternate interior angles are congruent. When alternate interior angles are equal then.

### The Converse Of Alternate Angle Theorem States That :

Alternate interior angles formed by these two lines with an intersecting traversal are congruent. Two lines are said to be parallel when they have the same slope and are drawn straight. Converse of the alternate interior angles theorem if two lines are cut by a transversal and the alternate interior angles are congruent, the linesare parallel.

### Often, Two Of The Lines Will Be Parallel, Setting Up Some.

The interior angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. When alternate interior angles are equal then. If two parallel lines are cut by transversal then the pair of corresponding angles are congruent.

### Converse Theorem Is The One Obtained By Taking A.

👉 learn about converse theorems of parallel lines and a transversal. Converse of alternate interior angles theorem [click here for sample questions] according to the antithesis of the alternate interior angle theorem, “if the alternate interior. Swapping the if and then parts gives this for the converse to.

### The Theorem States That “ If A Transversal Crosses The Set Of Parallel Lines, The Alternate Interior Angles Are Congruent”.

According to the converse of the alternate interior angles theorem, if a transversal crosses two lines such that the alternate interior angles are equal, then the two lines are said. 4 rows following the alternate interior angles theorem, if the two streets are parallel, and maple. If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel.

### If Two Parallel Lines N And M Are Cut By A Transversal L, Then Alternate Interior Angles Are Congruent.

Let l1 and l2 be two lines cut by a. 3 rows the converse of alternate interior angles theorem proof. The “consecutive interior angle theorem” states that if a transversal intersects two parallel lines, each pair of consecutive interior angles are supplementary, that is, their sum is 180°.