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Parallel Lines and a Transversal

Parallel Lines and a Transversal. Objective: Students today will use the vocabulary associated with this diagram and solve problems with the angles. Parallel Lines : Two lines equally distanced apart that never intersect.

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Parallel Lines and a Transversal

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  1. Parallel Lines and a Transversal Objective: Students today will use the vocabulary associated with this diagram and solve problems with the angles.

  2. Parallel Lines: Two lines equally distanced apart that never intersect. Transversal: A line that intersects the parallel lines and creates eight angles

  3. Alternate Interior angles: Two non-adjacent congruent angles found inside the parallel lines and on opposite sides of the transversal.

  4. Alternate Exterior angles: Two non-adjacent congruent angles found outside the parallel lines and on opposite sides of the transversal.

  5. Corresponding angles: Two congruent angles found on the same side of the transversal and in the same relative position to the parallel lines.

  6. Example: Find the measures of angles A, B and C. Explain how you decided on your answers. A B 110 C mA = 110 because the angle marked 110 and A are corresponding angles so they must be congruent. mB = 70 because A and B are supplementary and must add up to be 180. mC = 70 because B and C are alternate exterior angles so they must be congruent.

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