## Explain which theorems, definitions, or combinations of both

1. The first theorem used is that vertical angles are congruent. 2. The next theorem used is that adjacent angles in a parallelogram are supplementary. 3. The definition of supplementary angles is then used for angle formed by intersecting lines. 4. The theorem on vertical angles is used again. 5.

## Solved Making a Conjecture about Alternate Exterior Angles

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent. This problem has been solved! You’ll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer.

## Alternate Exterior Angles Theorem

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent . So, in the figure below, if k ∥ l k ∥ l , then. ∠1 ≅ ∠7 ∠ 1 ≅ ∠ 7 and ∠4 ≅ ∠6 ∠ 4 ≅ ∠ 6 . Proof. Since k ∥ l k ∥ l , by the Corresponding Angles Postulate ,.

## Proving triangle congruence (video)

Given a figure composed of 2 triangles, prove that the triangles are congruent or determine that there’s not enough information to tell. Created by Sal Khan. Questions Tips & Thanks Want to join the conversation? Sort by: Top Voted Sabriel Holcom 3 years ago What’s the difference between Angle Angle Side and Angle Side Angle? • ( 8 votes) Upvote.

## 3.6: Alternate Exterior Angles

Alternate exterior angles are two angles that are on the exterior of \(l\) and \(m\), but on opposite sides of the transversal. Figure \(\PageIndex{1}\) Alternate Exterior Angles Theorem: If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Figure \(\PageIndex{2}\).

## Alternate Exterior Angles

Answer: TRUE. Alternate exterior angles are only of the same measure if the lines cut through by a transversal are parallel. Example 3: What is the measure of \angle 5 ∠5? Right off the bat, we see that \angle 5 ∠5 and \angle 2 ∠2 are a pair of alternate exterior angles.

## Alternate Angles (Definition, Types, Theorem, and Example)

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. RS is the transversal line that cuts EF at L and GH at M. If two parallel lines are cut by a transversal, then the alternate angles are equal. Therefore, ∠3 = ∠ 5 and ∠4 = ∠6.

## Congruence Geometry (all content) Math

Unit test. Test your understanding of Congruence with these % (num)s questions. Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.

## Alternate Exterior Angles ( Read )

Alternate Exterior Angles. Alternate exterior angles are two angles that are on the exterior of l and m, but on opposite sides of the transversal. Alternate Exterior Angles Theorem: If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. If l | | m, then ∠ 1 ≅ ∠ 2. Converse of the Alternate.

## Alternate Exterior Angles (Definition, Theorem, Examples & Video)

Alternate exterior angles are created when three lines intersect. A line that crosses two or more other lines is called a transversal. Often, two of the lines will be parallel, setting up some interesting angles with the transversal. When a transversal crosses two other lines, it creates an exterior and interior for the parallel lines.