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Geo 31 Lesson with notes 1st a.notebook 1 October 23, 2015 Sep 76:46 AM 31 Parallel Lines and Transversals Objectives: I can identify the relationships between two lines or two planes I can name angle pairs formed by parallel lines and transversals Does an object appear larger than it really is in the front of an Ames room or in the back? How could the use of slanted lines make objects appear larger or smaller than they really are? Oct 207:49 AM

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Page 1: Geo 3-1 Lesson with notes 1st a.notebookimages.pcmac.org/SiSFiles/Schools/AL/DalevilleCS/DalevilleHigh/Uploads/... · Geo 31 Lesson with notes 1st a.notebook 1 October 23, 2015 Sep

Geo 3­1 Lesson with notes 1st a.notebook

1

October 23, 2015

Sep 7­6:46 AM

3­1 Parallel Lines and Transversals

Objectives:I can identify the relationships between two lines or two planesI can name angle pairs formed by parallel lines and transversals

Does an object appear larger than it really is in the front of an Ames room or in the back?

How could the use of slanted lines make objects appear larger or smaller than they really are?

Oct 20­7:49 AM

Page 2: Geo 3-1 Lesson with notes 1st a.notebookimages.pcmac.org/SiSFiles/Schools/AL/DalevilleCS/DalevilleHigh/Uploads/... · Geo 31 Lesson with notes 1st a.notebook 1 October 23, 2015 Sep

Geo 3­1 Lesson with notes 1st a.notebook

2

October 23, 2015

Sep 7­6:46 AM

The construction of the Ames room makes use of intersecting, parallel, and skew lines, as well as intersecting and parallel planes, to create an optical illusion.

Sep 7­6:56 AM

When segments or rays are contained within lines that are parallel or skew, then the segments or rays are parallel or skew.

Page 3: Geo 3-1 Lesson with notes 1st a.notebookimages.pcmac.org/SiSFiles/Schools/AL/DalevilleCS/DalevilleHigh/Uploads/... · Geo 31 Lesson with notes 1st a.notebook 1 October 23, 2015 Sep

Geo 3­1 Lesson with notes 1st a.notebook

3

October 23, 2015

Sep 7­6:59 AM

Example 1:

1. Identify each of the following using the box.

   a. all segments parallel to BC

   b. a segment skew to EH

   c. a plane parallel to plane ABG

Sep 7­7:03 AM

Identify each of the following using the cube shown.

2. all segments skew to BC

3. a segment parallel to EH

4. all planes parallel to plane DCH

Page 4: Geo 3-1 Lesson with notes 1st a.notebookimages.pcmac.org/SiSFiles/Schools/AL/DalevilleCS/DalevilleHigh/Uploads/... · Geo 31 Lesson with notes 1st a.notebook 1 October 23, 2015 Sep

Geo 3­1 Lesson with notes 1st a.notebook

4

October 23, 2015

Sep 7­7:03 AM

Transversal: a line that intersects two or more coplanar lines at two different points

Line t is a transversal of lines q and r. Notice that line t forms a total of eight angles with lines q and r. 

Sep 7­7:03 AM

Example 2:

Refer to the figure. Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

5. <2 and <6

6. <1 and <7

7. <3 and <8

8. <3 and <5

Page 5: Geo 3-1 Lesson with notes 1st a.notebookimages.pcmac.org/SiSFiles/Schools/AL/DalevilleCS/DalevilleHigh/Uploads/... · Geo 31 Lesson with notes 1st a.notebook 1 October 23, 2015 Sep

Geo 3­1 Lesson with notes 1st a.notebook

5

October 23, 2015

Sep 7­8:51 AM

Refer to the figure. Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angle.

9. <3 and <7

10. <5 and <7

11. <4 and <8

12. <2 and <3

Sep 7­8:33 AM

Page 6: Geo 3-1 Lesson with notes 1st a.notebookimages.pcmac.org/SiSFiles/Schools/AL/DalevilleCS/DalevilleHigh/Uploads/... · Geo 31 Lesson with notes 1st a.notebook 1 October 23, 2015 Sep

Geo 3­1 Lesson with notes 1st a.notebook

6

October 23, 2015

Sep 7­8:33 AM

The driveways at a bus station are shown. Identify the transversal connecting each pair of angles in the figure. Then classify the relationship between each pair of angles.

13. <1 and <2

14. <2 and <3

15. <4 and <5

Sep 7­8:56 AM

Identify the transversal connecting each pair of angles in the photo. Then classify the relationship between each pair of angles.

16. <3 and <5

17. <2 and <8

18. <5 and <7

19. <2 and <9