7.4 - parallel lines and proportional parts.notebook€¦ · 7.4 parallel lines and proportional...
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7.4 Parallel Lines and Proportional Parts.notebook
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"Do Now"
1. Solve the problem to the right.
2. Read the new Quote of the Week.
3. How are you going to study / already studying for the test next class?
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Go over Quizzie Poos
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May the (geometric) force be with you
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Today's Goal:
733 ft839 ft
778 ft
In Charleston, SC, Logan Street is parallel to both King Street and Smith Street between Beaufain Street and Queen Street. What is the distance from Smith to Logan along Beaufain?Round to the nearest foot.
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Geogebra Exploration
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7.4 Parallel Lines and Proportional Parts Unit 8: Proportions and Similarities Date
Triangle Proportionality
Theorem
If a line is parallel to a side of a triangle and intersects the other two sides, then it divides those two sides proportionally.
Converse
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Special Case of Triangle Proportionality Theorem
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Triangle Midsegment Theorem
A midsegment of a triangle is parallel to one side and its length is half the length of that side.
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Another Special Case of Triangle Proportionality Theorem
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Proportional Parts of Parallel
Lines
If three or more parallel lines intersect two transversals, they cut off the transversals proportionally.
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528 ft
528 ft
528 ft
? ft
? ft
? ft
Georgetown, SC
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Congruent Parts of Parallel Lines
If three or more parallel lines cut one transversal into congruent segments, then they cut the other transversal into congruent segments.
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Exit Slip
733 ft839 ft
778 ft
In Charleston, SC, Logan Street is parallel to both King Street and Smith Street between Beaufain Street and Queen Street. What is the distance from Smith to Logan along Beaufain?Round to the nearest foot.
Explain how you got your answer.Why are you allowed to arrive at your answer?
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