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Parallel Lines Angle Information Chapter 03 Geometry A BowerPoint Presentation.

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Presentation on theme: "Parallel Lines Angle Information Chapter 03 Geometry A BowerPoint Presentation."— Presentation transcript:

1 Parallel Lines Angle Information Chapter 03 Geometry A BowerPoint Presentation

2 If lines, then corr s If l m 1 5 2 6 3 7 4 8

3 If lines, then corr s Solve for x.

4 If lines, then corr s Solve for x. 5x = 125, so x = 25

5 If lines, then alt int s If l m 3 6 & 4 5

6 If lines, then alt int s Solve for x.

7 If lines, then alt int s Solve for x. 3x + 8 = 56, so x = 16

8 If lines, then alt ext s If l m 1 8 & 2 7

9 If lines, then alt ext s Solve for x.

10 If lines, then alt ext s Solve for x. 7x = 4x + 60, so x = 20

11 If lines, then s-s int s are supps If l m 3 & 5 and 4 & 6 are supps are supps

12 If lines, then s-s int s are supps Solve for x.

13 If lines, then s-s int s are supps Solve for x. 60 + 12x = 180, so x = 10

14 If you know one angle… When two parallel lines are cut by a transversal, if you know the measure of one angle…

15 If you know one angle… When two parallel lines are cut by a transversal, if you know the measure of one angle… You know the measures of ALL 8 ANGLES!!!

16 If you know one angle… One angle has a measure of 45 °. What are the measures of the other seven angles?

17 If you know one angle… One angle has a measure of 45 °. What are the measures of the other seven angles? What theorems/postulates did you use?

18 Transversal Theorem In words, here is the Perpendicular Transversal Theorem: In a plane  2 lines are perpendicular to the same transversal IF AND ONLY IF the 2 lines are parallel to each other

19 Transversal Theorem In a plane l t & m t l m


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