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Alternate Exterior Angles Theorem

If a transversal intersects two parallel lines, then the alternate exterior angles are congruent.

Converse also true:

If a transversal intersects two lines and the alternate exterior angles are congruent, then the lines are parallel.

https://www.mathsisfun.com/geometry/alternate-exterior-angles.html

Two triangles are **similar** if and only if the corresponding sides are in proportion and the corresponding angles are congruent.

If a line is parallel to one side of a triangle and intersects the other two sides of the triangle, the line divides these two sides proportionally

If MBP is any triangle and LA is drawn parallel to MB, then PL/CE = PA/CE

A general example to help you recognize patterns and spot the information you're looking for

∠A = ∠H ∠G = ∠B

The angles inside a letter "Z" are alternate interior angles...

Alternate exterior angles and same side interior angles are involved in the construction of buildings and bridges...

They are mostly used in engineering, architecture, and construction and can be used in scale drawings and finding distance height of the buildings.

Watch a Khan Academy Video »

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- Last Updated: Jul 7, 2023 12:00 PM
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