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3.1 Parallel Lines and Transversals

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1 3.1 Parallel Lines and Transversals
Comp book 3.1 Parallel Lines and Transversals Essential Question: How do we use parallel lines and transversals to identify angle measures? Take out 4 different colored pencils from blue box…or your own

2 Complementary Angles = When sum of two angles equals 90°
Comp book Complementary Angles = When sum of two angles equals 90° O R N E

3 Supplementary Angles = Straight When sum of two angles equals 180°
Comp book Supplementary Angles = Straight When sum of two angles equals 180°

4 Vocabulary P || Q L ⊥ M Comp book
Parallel Lines – Lines in the same plane that do not intersect Perpendicular Lines – Intersecting lines whose angle measures 90° P || Q The symbol || means “is parallel to.” L ⊥ M The symbol ⊥ means “is perpendicular to.”

5 Comp book Transversal: a line that intersects two or more lines. Transversals to parallel lines form special angle pairs. A ll B A B

6 Adjacent angles: (next door & supplementary = 180)
Foldable Adjacent angles: (next door & supplementary = 180) 1 & 2 2 & 3 3 & 4 4 & 1 5 & 6 5 & 8 6 & 7 New diagram: color 7 & 8

7 Vertical angles: (opposite & congruent)
Foldable 1  3 2  4 5  7 6  8 New diagram: color

8 Corresponding angles:
f d Corresponding angles: a b c

9 Foldable

10 If parallel lines are crossed by a transversal then corresponding angles are congruent
*because lines are parallel* Not Corresponding: because lines are not parallel* 5 2 3 8 7 4 1 6 4 3 2 1 6 5 8 7

11 Foldable Interior angles:
New diagram: Discuss the meaning of interior: color angles

12 Foldable

13 Foldable Exterior angles: New diagram: color exterior angles

14 Foldable

15 Foldable

16 Foldable Adjacent Vertical

17

18 Subtract known angle (100 degrees) from 180 degrees to find its supplementary adjacent angle
80

19 80 and 100 form supplementary angle
80 100

20 Vertical angles are congruent
80 100 80

21 Corresponding angles from one of the parallel lines are all congruent to their corresponding angles on the second parallel line 80 100 100 80 100 80 80

22 Find missing variable (x + 12)0 660

23 Find missing variable 120 (x + 50)


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