Parallel Lines Transversals Mrs Wedgwood Geometry Parallel Lines
![Parallel Lines & Transversals Mrs. Wedgwood Geometry Parallel Lines & Transversals Mrs. Wedgwood Geometry](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-1.jpg)
![Parallel Lines and Transversals What would you call two lines which do not intersect? Parallel Lines and Transversals What would you call two lines which do not intersect?](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-2.jpg)
![Parallel Lines and Transversals A slash through the parallel symbol || indicates the lines Parallel Lines and Transversals A slash through the parallel symbol || indicates the lines](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-3.jpg)
![Transversal A _______, or segment that intersects 2 or more ______ lines, rays, or Transversal A _______, or segment that intersects 2 or more ______ lines, rays, or](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-4.jpg)
![Parallel Lines and Transversals Transversal A _____ is a _______ which intersects ____ or Parallel Lines and Transversals Transversal A _____ is a _______ which intersects ____ or](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-5.jpg)
![INTERIOR –The space ______ the 2 lines interior EXTERIOR -The space _____ the 2 INTERIOR –The space ______ the 2 lines interior EXTERIOR -The space _____ the 2](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-6.jpg)
![Special Angle Relationships ________ Exterior 1 3 4 Interior 5 6 7 8 Exterior Special Angle Relationships ________ Exterior 1 3 4 Interior 5 6 7 8 Exterior](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-7.jpg)
![Special Angle Relationships WHEN THE LINES ARE PARALLEL Exterior 1 2 3 4 Interior Special Angle Relationships WHEN THE LINES ARE PARALLEL Exterior 1 2 3 4 Interior](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-8.jpg)
![Corresponding Angles & Consecutive Angles Corresponding Angles: Two ____ that occupy _______ positions. _________, Corresponding Angles & Consecutive Angles Corresponding Angles: Two ____ that occupy _______ positions. _________,](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-9.jpg)
![Corresponding Angles When two parallel lines are cut by a transversal, pairs of corresponding Corresponding Angles When two parallel lines are cut by a transversal, pairs of corresponding](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-10.jpg)
![Same Side Interior/Exterior Angles Same Side Interior Angles: Two angles that lie between parallel Same Side Interior/Exterior Angles Same Side Interior Angles: Two angles that lie between parallel](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-11.jpg)
![Interior Angles The angles that lie in the area between the two parallel lines Interior Angles The angles that lie in the area between the two parallel lines](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-12.jpg)
![Alternate Interior/Exterior Angles • _________: Two angles that lie between parallel lines on opposite Alternate Interior/Exterior Angles • _________: Two angles that lie between parallel lines on opposite](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-13.jpg)
![Alternate Interior Angles Alternate angles are formed on opposite sides of the transversal and Alternate Interior Angles Alternate angles are formed on opposite sides of the transversal and](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-14.jpg)
![Let’s Practice 120 1 3 7 4 6 5 8 2 m<1=_____° Find all Let’s Practice 120 1 3 7 4 6 5 8 2 m<1=_____° Find all](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-15.jpg)
![Another practice problem 40 120 Find all the missing angle measures, and name the Another practice problem 40 120 Find all the missing angle measures, and name the](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-16.jpg)
![Name the pairs of the following angles formed by a transversal. Name the pairs of the following angles formed by a transversal.](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-17.jpg)
![](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-18.jpg)
- Slides: 18
![Parallel Lines Transversals Mrs Wedgwood Geometry Parallel Lines & Transversals Mrs. Wedgwood Geometry](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-1.jpg)
Parallel Lines & Transversals Mrs. Wedgwood Geometry
![Parallel Lines and Transversals What would you call two lines which do not intersect Parallel Lines and Transversals What would you call two lines which do not intersect?](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-2.jpg)
Parallel Lines and Transversals What would you call two lines which do not intersect? _______ Exterior Interior Exterior 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
![Parallel Lines and Transversals A slash through the parallel symbol indicates the lines Parallel Lines and Transversals A slash through the parallel symbol || indicates the lines](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-3.jpg)
Parallel Lines and Transversals A slash through the parallel symbol || indicates the lines are not parallel. ________
![Transversal A or segment that intersects 2 or more lines rays or Transversal A _______, or segment that intersects 2 or more ______ lines, rays, or](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-4.jpg)
Transversal A _______, or segment that intersects 2 or more ______ lines, rays, or segments. Exterior Parallel lines Interior Non-Parallel lines Interior Exterior transversal
![Parallel Lines and Transversals Transversal A is a which intersects or Parallel Lines and Transversals Transversal A _____ is a _______ which intersects ____ or](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-5.jpg)
Parallel Lines and Transversals Transversal A _____ is a _______ which intersects ____ or _____ lines in a plane. The intersected lines do not have to be parallel. Lines j, k, and m are intersected by line t. Therefore, line t is a ______ of lines j, k, and m.
![INTERIOR The space the 2 lines interior EXTERIOR The space the 2 INTERIOR –The space ______ the 2 lines interior EXTERIOR -The space _____ the 2](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-6.jpg)
INTERIOR –The space ______ the 2 lines interior EXTERIOR -The space _____ the 2 lines exterior
![Special Angle Relationships Exterior 1 3 4 Interior 5 6 7 8 Exterior Special Angle Relationships ________ Exterior 1 3 4 Interior 5 6 7 8 Exterior](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-7.jpg)
Special Angle Relationships ________ Exterior 1 3 4 Interior 5 6 7 8 Exterior 2 <3 & <6 are ____ Interior angles <4 & <5 are ____ Interior angles <3 & <5 are _____ Interior angles <4 & <6 are _____Interior angles Exterior Angles <1 & <8 are Alternate ____ angles <2 & <7 are _____ Exterior angles <1 & <7 are Same Side _______ angles <2 & <8 are ______ Exterior angles
![Special Angle Relationships WHEN THE LINES ARE PARALLEL Exterior 1 2 3 4 Interior Special Angle Relationships WHEN THE LINES ARE PARALLEL Exterior 1 2 3 4 Interior](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-8.jpg)
Special Angle Relationships WHEN THE LINES ARE PARALLEL Exterior 1 2 3 4 Interior 5 6 7 8 Exterior If the lines are not parallel, these angle relationships DO NOT EXIST. ♥Alternate Interior Angles are _______ ♥Alternate Exterior Angles are ________ ♥Same Side Interior Angles are ________ ♥Same Side Exterior Angles are _________
![Corresponding Angles Consecutive Angles Corresponding Angles Two that occupy positions Corresponding Angles & Consecutive Angles Corresponding Angles: Two ____ that occupy _______ positions. _________,](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-9.jpg)
Corresponding Angles & Consecutive Angles Corresponding Angles: Two ____ that occupy _______ positions. _________, ______ Exterior 1 3 4 5 7 2 6 8 Interior Exterior
![Corresponding Angles When two parallel lines are cut by a transversal pairs of corresponding Corresponding Angles When two parallel lines are cut by a transversal, pairs of corresponding](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-10.jpg)
Corresponding Angles When two parallel lines are cut by a transversal, pairs of corresponding angles are formed. L Line L _______ G P A D B Q E F Line M Line N _____________of corresponding angles are formed. Corresponding pairs of angles are ________.
![Same Side InteriorExterior Angles Same Side Interior Angles Two angles that lie between parallel Same Side Interior/Exterior Angles Same Side Interior Angles: Two angles that lie between parallel](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-11.jpg)
Same Side Interior/Exterior Angles Same Side Interior Angles: Two angles that lie between parallel lines on the same sides of the transversal. m 3 +m 5 = 180º, m 4 +m 6 = 180º Same Side Exterior Angles: Two angles that lie outside parallel lines on the same sides of the transversal. Exterior 1 2 m 1 +m 7 = 180º, m 2 +m 8 = 180º 3 4 Interior 5 6 7 8 Exterior
![Interior Angles The angles that lie in the area between the two parallel lines Interior Angles The angles that lie in the area between the two parallel lines](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-12.jpg)
Interior Angles The angles that lie in the area between the two parallel lines that are cut by a transversal, are called interior angles. L G Line L Exterior A 1200 P 1200 600 D B 600 F ________ Line N _________ Interior E Q Line M Exterior A pair of interior angles lie on the ______of the transversal.
![Alternate InteriorExterior Angles Two angles that lie between parallel lines on opposite Alternate Interior/Exterior Angles • _________: Two angles that lie between parallel lines on opposite](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-13.jpg)
Alternate Interior/Exterior Angles • _________: Two angles that lie between parallel lines on opposite sides of the transversal (but not a linear pair). ____________________: Two angles that lie outside parallel lines on opposite sides of the transversal. _________ 1 2 Exterior 3 4 Interior 5 7 6 8 Exterior
![Alternate Interior Angles Alternate angles are formed on opposite sides of the transversal and Alternate Interior Angles Alternate angles are formed on opposite sides of the transversal and](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-14.jpg)
Alternate Interior Angles Alternate angles are formed on opposite sides of the transversal and at different intersecting points. L A D G Line L P B Q E Line M Line N ____________ F ______of alternate angles are formed. Pairs of alternate angles are _______.
![Lets Practice 120 1 3 7 4 6 5 8 2 m1 Find all Let’s Practice 120 1 3 7 4 6 5 8 2 m<1=_____° Find all](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-15.jpg)
Let’s Practice 120 1 3 7 4 6 5 8 2 m<1=_____° Find all the remaining angle measures.
![Another practice problem 40 120 Find all the missing angle measures and name the Another practice problem 40 120 Find all the missing angle measures, and name the](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-16.jpg)
Another practice problem 40 120 Find all the missing angle measures, and name the postulate or theorem that gives us permission to make our statements.
![Name the pairs of the following angles formed by a transversal Name the pairs of the following angles formed by a transversal.](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-17.jpg)
Name the pairs of the following angles formed by a transversal.
![](https://slidetodoc.com/presentation_image_h2/4f127a6216fb39e97000894c26544f69/image-18.jpg)
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