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This lesson explores the Corresponding Angles Postulate and its implications in geometry. Students will learn to prove the congruence of alternate interior angles and how to apply the Same-Side Interior Angles Theorem. Through drawing transversal lines that intersect parallel lines, learners will discover the relationships between these angles, including how corresponding angles and same-side interior angles form specific sums. A bonus problem will challenge students to solve for missing angles, reinforcing their understanding. Homework will be assigned to practice these concepts.

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HW Solutions

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  1. HW Solutions • 11. JCD and EAB • 13. CL, JE, FA, GB • 21. Corresponding, Corresponding, Alternate Interior Angles, • 22. Corresponding, Same-side Interior, Corresponding • 23. Same-side interior, Corresponding, Alternate Interior*** • 25. 2 A.I.A • 26. 4 Corresponding Angles • 27. 2 A.E.A • 28. 4 Vertical Angles

  2. Properties of Parallel Lines We will learn about the corresponding angles postulate to help us prove other theorems

  3. Corresponding Angles Postulate

  4. Now we can prove other theorems • Let’s prove alternate interior angles are congruent.

  5. Start off by drawing a transversal line intersecting two other line.

  6. Same-Side Interior Angles Theorem.

  7. Let’s figure out why same-side interior angles theorem is true. • Prove <4+<5=180

  8. Given line a and b are parallel • Prove <1 and <8 are Supplementary

  9. Alternate Exterior Angles 5 With out doing a statement reason proof, talk to your group and describe how you might prove this true. It should only be a couple of steps and use angle 5 to help you out with this.

  10. Bonus Problem • Solve for x and y. • Don’t do a proof

  11. Homework • Page 152 # 1-4, 9, 10, 22, 15, 16, 26

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