Define and identify alternate interior and alternate exterior angles in parallel line diagrams. Find missing angles in parallel line diagrams.
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Suppose $$l$$ and $$m$$ are parallel lines, with $$Q$$ a point on $$l$$ and $$P$$ a point on $$m$$, as pictured below. Also labeled in the picture is point $$M$$, the midpoint of $$\overline{PQ}$$, and two angles $$a$$ and $$b$$.
How can you use a rotation to prove that angles $$a$$ and $$b$$ are congruent?
Congruence of Alternate Interior Angles via Rotations, accessed on Oct. 13, 2017, 4:15 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.In the picture below, $$m$$ and $$n$$ are parallel lines and angles $$a$$ and $$b$$ are shown. Show that angle $$a$$ is congruent to angle $$b$$ using rigid motions.
Rigid Motions and Congruent Angles, accessed on Oct. 13, 2017, 4:16 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.In the diagrams below, lines $$b$$ and $$c$$ are parallel; lines $$f$$ and $$d$$ are not parallel.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Use the diagram to answer the two questions that follow. In the diagram, lines $${{{L_1}}}$$ and $${{{L_2}}}$$ are intersected by transveral $$m$$, forming angles 1-8, as shown.
Grade 8 Mathematics > Module 2 > Topic C > Lesson 12 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?