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When a line intersects two parallel lines, eight angles are formed. The line is called a Transversal.

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Presentation on theme: "When a line intersects two parallel lines, eight angles are formed. The line is called a Transversal."— Presentation transcript:

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2 When a line intersects two parallel lines, eight angles are formed. The line is called a Transversal.

3 Alternate Interior Angles are equal and form a “Z” pattern. OR The “Z” pattern can be formed 2 different ways.

4 Corresponding Angles are equal and form a “F” pattern. OR The “F” pattern can be formed 4 different ways.

5 Corresponding Angles are equal and form a “F” pattern. OR The “F” pattern can be formed 4 different ways.

6 Co-interior Angles have a sum of 180 o and form a “C” pattern. ( x o + y o = 180 o ) OR The “C” pattern can be formed 2 different ways.

7 From the diagram, name all the Alternate Interior Angles.

8  3 =  6  4 =  5

9 From the diagram, name all the Corresponding Angles.

10  4 =  8  2 =  6  1 =  5  3 =  7

11 From the diagram, name all the Co-Interior Angles.

12  3 +  5 = 180 o  4 +  6 = 180 o

13 CALCULATE THE UNKNOWN ANGLE MEASURES.

14 First using ALTERNATE INTERIOR ANGLES we can solve for “y o ” to = 70 o = 70 o Second, using SUPPLEMENTARY ANGLES we can solve for “X o ”: 180 = 70 o + X 180 = 70 o + X 180 - 70 = X 110 o = X

15 CALCULATE THE UNKNOWN ANGLE MEASURES.

16 First using CO- INTERIOR ANGLES we can solve for “y o ”: 180 = 100 o + y o 180 = 100 o + y o 180 - 100 = y o 80 = y o Second, using CO- INTERIOR ANGLES we can solve for “x o ”: 180 = 100 o + x o 180 - 100 = x o 80 o = x o Continue

17 CALCULATE THE UNKNOWN ANGLE MEASURES. Third using ALTERNATE INTERIOR ANGLES we can solve for “z o ”: z o = 60 o

18 Class Work Check solutions to Lesson 16 Copy notes from Lesson 16(2) Complete Lesson 16(2) worksheet.


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