Alternate Interior Angle Theorem

Alternate Interior Angle Theorem. What is the Alternate Interior Angles Theorem? Alternate Interior Angles Theorem The alternate interior angle theorem states that if two parallel lines are cut by a transversal, then alternate interior angles are congruent.

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Therefore, by the definition of congruent angles , The converse of alternate interior angle theorem states that "If the alternate interior angles produced by the transversal line on two coplanar are congruent, then the two lines are parallel to each other" Mention the properties of alternate interior angles. If a line XY cuts these two parallel lines AB and CD at P and Q respectively, then the figure tends to form certain angles with respect to the lines. Here we have the transversal, t t, intersecting lines c c and w w.

Since the lines that have been intersected by a transversal are parallel, therefore, the pair of alternate interior angles should be equal.

When a transversal crosses two other lines, it creates an exterior and interior for the parallel lines.

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Often, two of the lines will be parallel, setting up some interesting angles with the transversal. A line that crosses two or more other lines is called a transversal. Alternate Angles Theorem Consider two coplanar parallel lines AB and CD as shown in the figure given above.

Judul: Alternate Interior Angle Theorem
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Michaell Cooper

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