Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.
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Transcript of Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.
![Page 1: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/1.jpg)
Math II 7.5Parallel Lines and Transversals
![Page 2: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/2.jpg)
ActivityLook at your assignment.
![Page 3: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/3.jpg)
Activityuse a straight edge to draw a line that cuts through the first
pair of lines.
![Page 4: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/4.jpg)
ActivityYou have made 8 angles!
![Page 5: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/5.jpg)
ActivityUse your protractor to
measure and record the size of each angle.
![Page 6: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/6.jpg)
ActivityRepeat this process with the Second set of parallel lines on
your worksheet
![Page 7: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/7.jpg)
ActivityWith the 3rd set of lines
Start by drawing a line through them.
But this time we won’t use your protractor.
![Page 8: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/8.jpg)
ActivityPick a symbol. # θ ♥ ☺♥ ♥ ♫
Any symbol you likeIt must be school appropriate!
![Page 9: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/9.jpg)
ActivityDraw that symbol in one of the
angles.Now draw it in any other angle
that would have the same measure.
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ActivityPick a different symbol.
$ & Any symbol you like
It must be school appropriate!
![Page 11: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/11.jpg)
ActivityDraw that symbol in one of the
angles that does not have a symbol.
Now draw it in any other angle that would have the same
measure.
![Page 12: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/12.jpg)
ActivityDo you notice any patterns?
Do you think this will always work?
![Page 13: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/13.jpg)
So your last picture...
should look something like this...
1 2
3 4
5 6
7 8
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TransversalThe line you drew has a
special name…It is a transversal.
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Lines cut by a transversal may or may not be parallel.
![Page 16: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/16.jpg)
98 percent of what we do in Math with transversals will involve parallel Lines
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You will know they are parallel because they will tell you, or they will draw an extra arrow on the lines
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Transversals can intersect any number of lines.
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When a transversal intersects a line, four angles are formed
1 2
3 4
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angles across from each other are called Vertical Angles.
1 2
3 4
∠1 and ∠4 are a pair of vertical angles∠2 and ∠3 are a pair of vertical angles
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Based on your discoveries: What can you say about vertical angles?
1 2
3 4
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When a transversal intersects two lines, eight angles are formed
1 2
3 4
5 6
7 8
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These are called interior angles
3 4
5 6
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These are called exterior Angles
1 2
7 8
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Corresponding angles are angles in similar locations
1 2
3 4
5 6
7 8
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Based on your discoveries: What can you say about corresponding angles?
1 2
3 4
5 6
7 8
![Page 27: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/27.jpg)
Alternate interior Angles
3 4
5 6
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Based on your discoveries: What can you say about alternate interior angles?
3 4
5 6
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Alternate exterior Angles
1 2
7 8
![Page 30: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/30.jpg)
Based on your discoveries: What can you say about alternate exterior angles?
1 2
7 8
![Page 31: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/31.jpg)
Consecutive interior Angles
3 4
5 6
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Based on your discoveries: What can you say about Consecutive interior angles?
3 4
5 6
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Things to know:Vertical angles are always
Congruent
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Things to know:If the lines are parallel then:
Corresponding Angles areCongruent
![Page 35: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/35.jpg)
Things to know:If the lines are parallel then: Alternate Interior Angles are
Congruent
![Page 36: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/36.jpg)
Things to know:If the lines are parallel then: Alternate Exterior Angles are
Congruent
![Page 37: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/37.jpg)
Things to know:If the lines are parallel then:
Consecutive Interior Angles areSupplementary
![Page 38: Math II 7.5 Parallel Lines and Transversals. Activity Look at your assignment.](https://reader035.fdocuments.in/reader035/viewer/2022062317/5a4d1b4f7f8b9ab0599a71eb/html5/thumbnails/38.jpg)
Quick summary:
If lines are parallel, then
All ’s are congruent
All ‘s are congruent
+ = 180