74 Parallel Lines and Proportional Partsimages.pcmac.org/.../Uploads/Forms/Geo_Lesson_7-4.pdfGeo 74...
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Geo 74 lesson with notes 1st a.notebook 1 February 25, 2016 Feb 133:53 PM 74 Parallel Lines and Proportional Parts Learning Targets: I can use proportional parts within triangles I can use proportional parts with parallel lines Describe the distance between two parallel lines. Why does the distance between the train tracks appear to get smaller? Are the lines in the picture formed by the train tracks parallel? Feb 237:55 AM
Transcript of 74 Parallel Lines and Proportional Partsimages.pcmac.org/.../Uploads/Forms/Geo_Lesson_7-4.pdfGeo 74...
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 133:53 PM
74 Parallel Lines and Proportional Parts
Learning Targets:I can use proportional parts within trianglesI can use proportional parts with parallel lines
Describe the distance between two parallel lines.
Why does the distance between the train tracks appear to get smaller?
Are the lines in the picture formed by the train tracks parallel?
Feb 237:55 AM
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 238:06 AM
Feb 238:13 AM
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 134:02 PM
Feb 134:03 PM
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 134:04 PM
Example 1:
1. In ΔRST, RT || VU, SV = 3, VR = 8, and UT = 12. Find SU.
2. If PS = 12.5, SR = 5, and PT = 15, find TQ.
Feb 134:17 PM
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 145:56 PM
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Example 2:
3. In ΔDEF, DH = 18, HE = 36, and DG = 1/2GF. Is GH || FE?
4. DG is half the length of GF, EH = 6, and HF = 10. Is DE || GH?
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 146:11 PM
Midsegment of a triangle: a segment with endpoints that are the midpoints of two sides of the triangle.
Every triangle has three midsegments.
Feb 146:14 PM
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
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Example 3:
5. In the figure, DE and EF are midsegments of ΔABC. Find each measure.
a. AB
b. FE
c. m<AFE
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 146:20 PM
6. Find each measure.
a. DE
b. DB
c. m<FED
Feb 146:24 PM
Another special case of the Triangle Proportionally Theorem involves three or more parallel lines.
Notice when transversal lines a and b are extended, they form a triangle.
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 146:28 PM
Feb 146:30 PM
Example 4:
7. In the figure, Larch, Maple, and Nuthatch Streets are all parallel. The figure shows the distances in between city blocks. Find x.
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 146:32 PM
8. Frontage is the measurement of a property's boundary that runs along the side of a particular feature such as a street, lake, ocean, or river. Find the ocean frontage for Lot A to the nearest tenth of a yard.
Feb 146:34 PM
Geo 74 lesson with notes 1st a.notebook
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February 25, 2016
Feb 146:36 PM
Feb 146:37 PM
Example 5: Find x and y.
9. 10. 11.
