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Published byBeatrice Lindsey Modified over 9 years ago
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Transversal Lines & Angle Pairs During this tutorial, you will complete your foldable inside your notebook, and you will identify the five different angle pairs that are created by a transversal.
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Recap: Labeling Lines & Angles Lines are identified by two points on the line, or by a single lowercase script letter. line j, line k, line t Angles are identified by the three points that are used to create the angle, the vertex point, or by a number. ∠ 1, ∠ 2, ∠ 3, ∠ 4, ∠ 5, ∠ 6, ∠ 7, ∠ 8 line t is the transversal between line j and line k (A transversal is a line that intersects at least two other lines.) Color your transversal line RED.
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Angle Pairs A transversal line creates five different angle pairs. The five angle pairs are: Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Same Side Interior Angles Same Side Exterior Angles You will create a Color Key. (Pick any 5 colors, not red or yellow.) Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Same Side Interior Angles Same Side Exterior Angles Corresponding AnglesAlternate Interior Angles Alternate Exterior AnglesSame Side Interior Angles Same Side Exterior Angles
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Interior Vs. Exterior A transversal line creates two different regions: an interior region and an exterior region. Color the interior region YELLOW. You will still need to see those numbers, so color lightly or around them. Inside you will write INTERIOR. On the outside, you will write EXTERIOR. Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Same Side Interior Angles Same Side Exterior Angles INTERIOR EXTERIOR Corresponding AnglesAlternate Interior Angles Alternate Exterior AnglesSame Side Interior Angles Same Side Exterior Angles
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Corresponding Angles Keep these questions in mind as we work through labeling the corresponding angles. What do you think is meant by Corresponding angles? Which angle pairs are Corresponding angles? Corresponding angles are on the same side of the transversal line, one angle is on the interior and one angle is on the exterior. Mark them in BLUE. How many pairs of corresponding angles do you see? INTERIOR EXTERIOR Corresponding AnglesAlternate Interior Angles Alternate Exterior AnglesSame Side Interior Angles Same Side Exterior Angles ∠ 2 and ∠ 6 ∠ 1 and ∠ 5 ∠ 3 and ∠ 7 ∠ 4 and ∠ 8 ∠ 2 and ∠ 6 ∠ 1 and ∠ 5 ∠ 3 and ∠ 7 ∠ 4 and ∠ 8 Make sure you are recording your angles appropriately.
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Alternate Interior Angles Keep these questions in mind as we work through labeling the alternate interior angles. What do you think is meant by Alternate Interior angles? Which angle pairs are Alternate Interior angles? Alternate Interior Angles are angles located in the INTERIOR, on opposite sides of the transversal, and in opposite corners. Mark them in Salmon. How many pairs of Alternate Interior angles do you see? INTERIOR EXTERIOR Corresponding AnglesAlternate Interior Angles Alternate Exterior AnglesSame Side Interior Angles Same Side Exterior Angles ∠ 4 and ∠ 6 ∠ 3 and ∠ 5 ∠ 2 and ∠ 6 ∠ 1 and ∠ 5 ∠ 3 and ∠ 7 ∠ 4 and ∠ 8 Make sure you are recording your angles appropriately. ∠ 4 and ∠ 6 ∠ 3 and ∠ 5
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Alternate Exterior Angles Keep these questions in mind as we work through labeling the alternate exterior angles. What do you think is meant by Alternate Exterior angles? Which angle pairs are Alternate Interior angles? Alternate Exterior Angles are angles located in the EXTERIOR, on opposite sides of the transversal, and in opposite corners. Mark them in Green. How many pairs of Alternate Exterior angles do you see? INTERIOR EXTERIOR Corresponding AnglesAlternate Interior Angles Alternate Exterior AnglesSame Side Interior Angles Same Side Exterior Angles ∠ 2 and ∠ 8 ∠ 1 and ∠ 7 ∠ 2 and ∠ 6 ∠ 1 and ∠ 5 ∠ 3 and ∠ 7 ∠ 4 and ∠ 8 Make sure you are recording your angles appropriately. ∠ 4 and ∠ 6 ∠ 3 and ∠ 5 ∠ 2 and ∠ 8 ∠ 1 and ∠ 7
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Same Side Interior Angles Keep these questions in mind as we work through labeling the same side interior angles. What do you think is meant by Same Side Interior angles? Which angle pairs are Same Side Interior angles? Same Side Interior Angles are angles located in the INTERIOR, and on the same side of the transversal. Mark them in PINK. How many pairs of Same Side Interior angles do you see? INTERIOR EXTERIOR Corresponding AnglesAlternate Interior Angles Alternate Exterior AnglesSame Side Interior Angles Same Side Exterior Angles ∠ 3 and ∠ 6 ∠ 4 and ∠ 5 ∠ 2 and ∠ 6 ∠ 1 and ∠ 5 ∠ 3 and ∠ 7 ∠ 4 and ∠ 8 Make sure you are recording your angles appropriately. ∠ 4 and ∠ 6 ∠ 3 and ∠ 5 ∠ 2 and ∠ 8 ∠ 1 and ∠ 7 ∠ 3 and ∠ 6 ∠ 4 and ∠ 5
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Same Side Exterior Angles Keep these questions in mind as we work through labeling the same side exterior angles. What do you think is meant by Same Side Exterior angles? Which angle pairs are Same Side Interior angles? Same Side Exterior Angles are angles located in the EXTERIOR, and on the same side of the transversal. Mark them in TEAL. How many pairs of Same Side Exterior angles do you see? INTERIOR EXTERIOR Corresponding AnglesAlternate Interior Angles Alternate Exterior AnglesSame Side Interior Angles Same Side Exterior Angles ∠ 2 and ∠ 7 ∠ 1 and ∠ 8 ∠ 2 and ∠ 6 ∠ 1 and ∠ 5 ∠ 3 and ∠ 7 ∠ 4 and ∠ 8 Make sure you are recording your angles appropriately. ∠ 4 and ∠ 6 ∠ 3 and ∠ 5 ∠ 2 and ∠ 8 ∠ 1 and ∠ 7 ∠ 3 and ∠ 6 ∠ 4 and ∠ 5 ∠ 2 and ∠ 7 ∠ 1 and ∠ 8
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To Finish the Lesson Make sure that you have finished labeling and identifying all of the angle pairs in your notebook. Complete the Check Your Understanding Google Form. There will be 5 questions for you to complete. Think about the “WHY?” behind the names for these angle pairs. We will be discussing these in more detail tomorrow.
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