HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior...

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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

Transcript of HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior...

Page 1: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

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

Page 2: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Properties of Parallel Lines

We will learn about the corresponding angles postulate to

help us prove other theorems

Page 3: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Corresponding Angles Postulate

Page 4: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Now we can prove other theorems

• Let’s prove alternate interior angles are congruent.

Page 5: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

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

Page 6: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Same-Side Interior Angles Theorem.

Page 7: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Let’s figure out why same-side interior angles theorem is true.

• Prove <4+<5=180

Page 8: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.
Page 9: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

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

Page 10: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.
Page 11: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Alternate Exterior Angles

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.

5

Page 12: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Look at the lasers

• If <1 = 4x+15 and <3 = 2x + 45. Solve for <1

Page 13: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Bonus Problem

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

Page 14: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Homework

• Page 152 # 1-4, 9, 10, 22, 15, 16, 17, 26

Page 15: HW Solutions 11. JCD and EAB 13. CL, JE, FA, GB 21. Corresponding, Corresponding, Alternate Interior Angles, 22. Corresponding, Same-side Interior, Corresponding.

Test Averages

• Averages if you did the review, 66.9 or an 85%• Overall average of the class was about a 61.9

or an 79%

• People who did the review also got a extra 5 points. 71.9 or an 92%