focus. p. 145-147 #12-36(even) 12. de, pq, st14. bc, ef, qr 16. abc, afw, bcr, cds, efw, pqr 18. fa,...

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Page 1: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Focus

Page 2: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

p. 145-147 #12-36(even)12. DE, PQ, ST 14. BC, EF, QR16. ABC, AFW, BCR, CDS, EFW, PQR18. FA, WP, SR20. a and b, a and r, b and r22. a and b, a and r, b and r24. Corresponding 26. Alternate Interior28. Alternate Exterior 30. Consecutive

Interior32. Alternate Exterior 34. Consecutive

Interior36. Skew Lines, Explanations will vary

Page 3: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Angles and Parallel Lines

Chapter 3Section 2

Identify Angle Measures when 2 parallel lines are cut by a Transversal,

proofs involving transversals

An activity becomes creative when the doer cares about doing it right,

or better. – John Updike, writer

Page 4: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Remember the Postulate

7

21

8

43

5 6

Page 5: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Corresponding Angles Postulate

7

21

8

43

5 6

If m 4 = 133,

find m 5

4 8~=~= (Corresponding Angles Postulate)(Vertical Angles Theorum)

m 4 = m 5

(Transitive Property)

133 = m 5

8 5~=~=

4 5~=~=

(Def. of Congruent Angles)(Substitution)

Page 6: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Corresponding Angles Postulate

Page 7: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Remember the Theorerm

Page 8: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Angle Pair Congruence

Page 9: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Angle Pair Congruence

Page 10: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Substitution

Angle Pair Cong.60

Page 11: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Angle Pair Congruence

Page 12: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Angle Pair Congruence

Page 13: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Perpendicular Transversal Th.

Page 14: Focus. p. 145-147 #12-36(even) 12. DE, PQ, ST14. BC, EF, QR 16. ABC, AFW, BCR, CDS, EFW, PQR 18. FA, WP, SR 20. a and b, a and r, b and r 22. a and b,

Homework

p. 152 – 154; #8-22 (even), 25 and 31. (10 problems)