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PRESENTATION parallel and transversal lines.pptx
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- 2. A B D C Parallel Lines andTransversals What would you call two lines which do not intersect? Parallel A solid arrow placed on two lines of a diagram indicate the lines are parallel. The symbol || is used to indicate parallel lines. AB || CD
- 3. Parallel Lines andTransversals A slash through the parallel symbol || indicates the lines are not parallel. AB || CD A D B C
- 4. Parallel Lines andTransversals Transversal - When two parallel lines are cut by another line this is called a transversal. t m k j Parallel lines t and s are intersected by line j, k and m. Therefore, line j, k and m are a transversal of lines t and s. S
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- 6. Parallel Lines andTransversals Identifying Angles t k j 1 2 3 4 5 6 7 8 Interior angles are on the interior of the two lines cut by the transversal. The interior angles are: 3, 4, 5, 6
- 7. ALTERNATE INTERIOR ANGLES - twononadjacent interior angles on opposite sides of a transversal
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- 9. Same-Side Interior Angles - twointerior angles on the same side of the transversal
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- 11. Parallel Lines andTransversals Identifying Angles t k j 1 2 3 4 5 6 7 8 Exterior angles are on the exterior of the two lines cut by the transversal. The exterior angles are: 1, 2, 7, 8
- 12. ALTERNATE EXTERIOR ANGLES - twononadjacent exterior angles on opposite sides of the transversal
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- 14. Corresponding Angles - twoangles in corresponding positions relative to two lines cut by a transversal
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- 16. Parallel Lines andTransversals Identifying Angles - Vertical angles are: When two lines intersect they form two pairs of “opposite” angles called vertical angles. < 1 and < 3 < 2 and < 4 Vertical angles are congruent. Congruent means angles with the same measurement.
- 17. Parallel Lines andTransversals Identifying Angles - If the sum of the measures of two angles is 90° the angles are complementary. Angles a and b are complementary. If the sum of the measures of two angles is 180°, they are supplementary. Angles a and b are supplementary.
- 18. Parallel Lines andTransversals Identifying Angles - t k j 1 2 3 4 5 6 7 8 Alternate interior angles are on the interior of the two lines and on opposite sides of the transversal. Alternate interior angles are: 3 6, 4 5 and or and Alternate interior angles are congruent.
- 19. Parallel Lines andTransversals Identifying Angles - t k j 1 2 3 4 5 6 7 8 Alternate exterior angles are on the exterior of the two lines and on opposite sides of the transversal. Alternate exterior angles are: 1 8, 2 7 and or and Alternate exterior angles are congruent.
- 20. Parallel Lines andTransversals Identifying Angles - t k j 1 2 3 4 5 6 7 8 Corresponding angles are on the corresponding side of the two lines and on the same side of the transversal. Corresponding angles are: 1 5, 3 7, 2 6, 4 8 and and and or and Corresponding angles are congruent.
- 21. 2. 2 and10 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false. If false, correct the statement. 1. Line r is a transversal of lines p and q. True – Line r intersects both lines in a plane. False - The angles are corresponding angles on transversal p.
- 22. 4. 1 and15 are alternate exterior angles. 3. 3 and 5 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false. If false, correct the statement. False – The angles are vertical angles created by the intersection of q and r. True - The angles are alternate exterior angles on transversal p.
- 23. 6. 10 and15 are vertical angles. 5. 6 and 12 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false. If false, correct the statement. True – The angles are alternate interior angles on transversal q. False- 10 and 16 are vertical angles
- 24. Determine if thestatement is true or false. If false, correct the statement. 7. 3 and 4 are alternate exterior angles. 8. 16 and 14 are corresponding angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 False – The angles are a linear pair, they are supplementary angles. True – The angles are corresponding on transversal s.
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