Jim Smith JCHS Section 3-1, 3-2

A Line That Intersects 2 Or More Lines At Different Points Is Called A Transversal transversal

When This Happens, 8 Angles Are Formed 8 Angles Are Formed

This Forms 2 Neighborhoods

Remember Vertical And Linear Angles Vertical

Linear Pairs

These Angles Are Called Consecutive Or Same Side Angles

Interior Angles (Between 2 lines) Exterior Angles ( outside the lines) ( outside the lines)

Alternate Angles Are On Different Sides Of The Transversal And From Different Neighborhoods Alternate Exterior Angles 1 And 8 Angles 2 And 7 Alternate Interior Angles 3 And 6 Angles 4 And 5

Consecutive Int Angles 3 and 5 Angles 4 and 6 Consecutive Ext Angles 1 and 7 Angles 2 and 8

Corresponding Angles Are Located In The Same Position In Each Neighborhood

Name The Angles and and and and and and and and 17

1.Corresponding 2.Corresponding 3.Alt Interior 4.Consecutive (SS) Exterior 5.Consecutive (SS) Interior 6.Corresponding 7.Vertical 8.Linear

With This Diagram, We Can Work With Angles In Different Neighborhoods As Long As They Are Connected By A Transversal Name the angles 1. 1 and and and and and and and and and and 11

1. Corresponding 2. Alt. Int. 3. Alt. Int. 4. Cons. (SS) Int. 5. Corresponding 6. Alt. Int. 7. Consecutive Ext 8. Alt. Ext 9. Cons. (SS) Int. 10.None

If 2 Parallel Lines Are Cut By A Transversal Then: Corresponding Angles Are Congruent Are Congruent Alternate Interior Angles Are Congruent Same Side Interior Angles Are Supplementary

Remember ……… Even Without Parallel Lines Vertical Angles Are Always Congruent Linear Pairs Are Always Supplementary Remember ……… Even Without Parallel Lines Vertical Angles Are Always Congruent Linear Pairs Are Always Supplementary

a b a b m 1 = 105 Find: 1. 3 = 2. 6 = 3. 7 = 4. 4 = 5. 5 =

a b 63° 117° 119° 119° 119° 119° 61° 63° 63°

a b 2x+6 3x-10 5x-20 2x-10 2x+6 = 3x-10 6 = x – 10 6 = x – = x 16 = x 5x-20+2x-10 = 180 7x-30 = 180 7x-30 = 180 7x = 210 7x = 210 x = 30 x = 30 4x+25 6x-15 4x+25 = 6x = 2x = 2x = 2x 40 = 2x 20 = x 20 = x