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Do Now A B C D 1.Name a line that does not intersect with line AC. 2.What is the intersection of lines AB and DB?

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Presentation on theme: "Do Now A B C D 1.Name a line that does not intersect with line AC. 2.What is the intersection of lines AB and DB?"— Presentation transcript:

1 Do Now A B C D 1.Name a line that does not intersect with line AC. 2.What is the intersection of lines AB and DB?

2 3.1 Identify Pairs of Lines and Angles 3.2 Use Parallel Lines and Transversals Objective: To identify angle pairs formed by three intersecting lines; to use angles formed by parallel lines and transversals

3 Parallel Lines Lines that do not Intersect and are coplanar

4 Parallel Planes Planes that Do not Intersect

5 Skew Lines Lines that do Not intersect and are not Coplanar.

6 Transversal Transversal: a line that intersects two or more coplanar lines.

7 Angles formed by a transversal There are 4 types of angles formed by a transversal.

8 Corresponding angles 1 5 Angles 1 and 5 are corresponding Because they have corresponding Positions.

9 Corresponding angles of Parallel Lines 1 5 The corresponding angles 1 and 5 Are congruent to each other Because lines k and m are parallel To each other. k m

10 Alternate Exterior Angles 1 Angles 1 and 8 are alternate Exterior angles because they are On alternate sides of the Transversal and are exterior Of the two lines. 8

11 Alternate Exterior angles of Parallel Lines 1 The alternate exterior angles 1 and 8 are congruent to each other because lines k and m are Parallel to each other. k m 8

12 Alternate Interior Angles Angles 3 and 6 are alternate interior angles because they are On alternate sides of the Transversal and on the interior Of the two lines. 3 6

13 Alternate Interior angles of Parallel Lines The alternate interior angles 3 and 6 are congruent to each other because lines k and m are Parallel to each other. k m 6 3

14 Consecutive Interior Angles Angles 4 and 6 are consecutive Interior angles because they are On the same side of the transversal And are inside the two lines. 4 6

15 Consecutive Interior angles of Parallel Lines The consecutive interior angles 4 and 6 are supplementary to each other because lines k and m are parallel to each other. k m 6 4

16 Parallel lines cut by a transversal. When two parallel lines are cut by a transversal the following relationships are true. –Corresponding angles are congruent –Alternate exterior angles are congruent –Alternate interior angles are congruent –Consecutive interior angles are supplementary.

17 Example 1: 1 5 Name all pairs of corrsponding, alternate interior, alternate exterior, and consecutive interior angles. 2 3 4 6 78

18 Example: Classify the angle pair x y

19 m n

20 p q

21 Example 2: Solve for the variable 2p 120

22 Example 3: Solve for the variable x 80

23 Example 4: Find all the missing angle measures 105


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