when // lines are cut by a transveral, alternate exterior angles are congruent.

true of false ?

Explain please.

220514130014401434210 find the variance

True. it's actually a theorem.

The statement is true. When parallel lines are cut by a transversal, alternate exterior angles are congruent. Let me explain how to arrive at this conclusion.

To begin, let's define some terms. Parallel lines are lines that never intersect, and a transversal is a line that intersects two or more lines at distinct points.

When a transversal intersects two parallel lines, it creates eight angles. These angles are categorized into various types, including alternate exterior angles. Alternate exterior angles are a pair of angles that are on opposite sides of the transversal and are outside the two parallel lines.

To prove that alternate exterior angles are congruent, we can use the fact that parallel lines create corresponding angles that are congruent. Corresponding angles are pairs of angles that are in similar positions relative to the transversal, but they are found on different parallel lines.

Here's a step-by-step explanation:

1. Begin by drawing two parallel lines and marking a transversal that intersects them.

l - transversal
______ - parallel lines

2. Observe and label the angles formed by the transversal and the parallel lines. Identify the alternate exterior angles as pairs of angles that are on opposite sides of the transversal and outside the parallel lines.

l ---- /---- - transversal
______ - parallel lines
\ /
\ /
\/

3. Identify the corresponding angles that are formed by the transversal and the parallel lines. Corresponding angles are on the same side of the transversal but on different parallel lines.

l ---- /---- - transversal
______ - parallel lines
\ /
\ /
\/

__/\_
--``--

4. Since the parallel lines create corresponding angles that are congruent, we can conclude that the alternate exterior angles are also congruent.

In conclusion, when parallel lines are cut by a transversal, the alternate exterior angles are congruent.