1. Blue Day – 2/2/2015 Gold Day – 2/3/2015

2. Name the type(s) of angles pairs in each diagram. 1.2. 3.

3.  Last day of 4 th Six weeks is 2/13/2015  2/16/2015 is a student holiday  Transversals Unit test 2/17/2015 & 1/18/2015  Today we will start our Transversals Unit  Properties of parallel lines

5.  Recall: Parallel lines are coplanar lines that DO NOT intersect

6.  A transversal is a line that crosses over or intersects 2 coplanar lines at distinct points  Real life examples?  Red and blue lines on paper, the corners of the walls, the ceiling, the floor, the desks, etc

7.  Parallel Lines cut by a Transversal in the Ben Franklin Bridge

8.  When the transversal cuts the 2 lines, it forms 8 angles  Luckily for us, only 2 unique angle measures are formed! Which  s are congruent??

9.  Using what you’ve learned so far, can you figure out what the measure is for angles 1, 2 and 3? 50  1 2 3 5 4 7 6

10.  Corresponding angles lie on the same side of the transversal and in corresponding positions  Corresponding angles are congruent when the transversal cuts across parallel lines  Ex: <1 and <6; <2 and <5; <4 and < 7; <3 and <8 2 1 3 4 56 8 7

11.  Alternate exterior angles are outside the two lines on opposite sides of the transversal  Alternate exterior angles are congruent when the transversal cuts across parallel lines  Ex: <1 and <8; <2 and <7 2 1 3 4 5 6 87

12.  Same-side interior angles are between the parallel lines on the same side of the transversal  Same-side interior angles are supplementary when the transversal cuts across parallel lines 2 1 34 5 6 87 Ex: <4 and <6 <3 and <5

13. 1. ∠1 and ∠3 2. ∠3 and ∠6 3. ∠11 and ∠5 4. ∠4 and ∠6 5. ∠11 and ∠9

14. ∠1 = ∠2 = ∠4 = ∠5 = ∠6 = ∠7 = ∠8 = 102 78 102 78 102

15. 2x + 6 + 130 = 180 2x + 136 = 180 2x = 44 x = 22

16. 3x + 4 2x + 10 3x + 4 = 2x + 10 x = 6 m  4 = m<2 m  4 = 3x+4 =3(6) + 4 m  4 = 22 Given n//m, m  2 = 3x + 4 and m  8 = 2x + 10. Find x then find m<4

17. 1) m  1 = 50°. Find m  2 and m  3. 2) Solve for y. 1 2 3 7y - 13 3y -7