Your drawing also has four interior angles, or angles inside (between) the parallel lines:Īngles in your transversal drawing that share the same vertex are called vertical angles. ∠ Q, ∠ S, ∠ Y a n d ∠ Z Interior Angles The angles above and below the parallel lines are outside and are called exterior angles. The same is true with parallel lines B E and A R and their transversal O W. If you stepped across the tracks, you would be outside the lines. If you were between the train tracks, you would be inside the lines. ∠ V s u p p l e m e n t a r y t o ∠ Z Exterior Angles Here are all the other pairs of supplementary angles: In this example, the supplementary angles are Q S, Q T, T U, S U, and V X, V Y, Y Z, V Z. Supplementary angles are not limited to just transversals. Together, the two supplementary angles make half of a circle. Because all straight lines are 180 °, we know ∠ Q and ∠ S are supplementary (adding to 180 °). Supplementary angles are pairs of angles that add up to 180 °. Our transversal O W created eight angles where it crossed B E and A R. You see? It is never a good idea to cross a bear. Use a straightedge and pencil to draw a line cutting from above B E to below A R.
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Use a straightedge and pencil to draw parallel lines B E and A R, so that B E is horizontal and at the top, with A R horizontal and at the bottom.
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Let's construct a transversal to see how they interact with parallel lines. Usually we work with transversals when they cross parallel lines, like the two tracks of a railroad. A transversal is a line that crosses other lines. As you crossed the tracks, you completed a transversal. You have probably ridden in a car on a street that crossed railroad tracks. When it crosses two parallel lines, the resulting eight angles have interesting properties. What is a transversal in geometry? A transversal is any line crossing another line or lines.