Use Parallel Lines and Transversals
-
Upload
xerxes-dominguez -
Category
Documents
-
view
34 -
download
0
description
Transcript of Use Parallel Lines and Transversals
![Page 1: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/1.jpg)
3.2
Use Parallel Lines and Transversals
![Page 2: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/2.jpg)
Essential Question
How are corresponding angles and alternate interior angles related for two parallel lines and a transversal?
M11.B.2.1,M11.B.2.2, M11.C.1.2, M11.C.3.11
![Page 3: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/3.jpg)
More Postulates and Theorems
![Page 4: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/4.jpg)
Which angle pairs have the same angle measure by the Corresponding Angle
Postulate?
<a & <e, <b & <f, <c & <g, <d & <h
![Page 5: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/5.jpg)
![Page 6: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/6.jpg)
What angle pairs are congruent according to the Alternate Interior Angles Theorem?
<c & <f, <d & <e
![Page 7: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/7.jpg)
![Page 8: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/8.jpg)
Which angle pairs are congruent according to the Alternate Exterior Angle
Theorem?
<a & <h, <b & <g
![Page 9: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/9.jpg)
![Page 10: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/10.jpg)
Which angle pairs are supplementary according to the Consecutive Interior
Angles Theorem?
<c & <e, <d & <f
![Page 11: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/11.jpg)
How can you find the value for x?
3x – 10 = 140
3x = 150
x = 50
![Page 12: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/12.jpg)
![Page 13: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/13.jpg)
![Page 14: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/14.jpg)
How would you find the value for x?
By the Consecutive Interior Angles Theorem we know that the sum of these angles is 180.
113 + 2x – 25 = 180
2x + 88 = 180
2x = 92
x = 46
![Page 15: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/15.jpg)
How would you find the value for x?
3x + 2 + x + 2 = 1804x + 4 = 180
4x = 176
x = 44
Consecutive Interior Angles
![Page 16: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/16.jpg)
The 90˚ angle and the 2x˚ angle are Consecutive Interior angles so we know they are supplementary, so their sum is 180˚
90 + 2x = 180
2x = 90
x = 45
The 6y˚ angle and the 3y˚ angle are Consecutive Interior angles so we know they are supplementary, so their sum is 180˚
6y + 3y = 180
9y = 180
y = 20
![Page 17: Use Parallel Lines and Transversals](https://reader035.fdocuments.in/reader035/viewer/2022062217/56812cfa550346895d91c9b5/html5/thumbnails/17.jpg)