Parallel Lines Cut by a Transversal, Day 2. Warm Up Find the measures of angles 1, 2, and 3, if m<1 = 8x° and m<2 = (5x° - 2). Justify your answers.

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Presentation transcript:

Parallel Lines Cut by a Transversal, Day 2

Warm Up Find the measures of angles 1, 2, and 3, if m<1 = 8x° and m<2 = (5x° - 2). Justify your answers.

What can you conclude about the angles formed by parallel lines that are cut by a transversal? Eight angles are created by the intersection of two parallel lines and a transversal. Corresponding angles are congruent, alternate interior angles are congruent, alternate exterior angles are congruent, and same-side interior angles are supplementary.

Even though corresponding angles and same-side interior angles are both found on the same side of the transversal, they are not the same pair of angles. Corresponding angles have one angle on the exterior and one on the interior and are congruent, while same-side interior angles are both on the interior and are supplementary.

How many different angle measures can be found among the eight angles formed when two parallel lines are cut by a transversal? Two; the intersection of the transversal and the parallel lines forms angles with two different measures.

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