7.4 ­ Parallel Lines and Proportional Parts.notebook

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January 13, 2014

"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?

7.4 ­ Parallel Lines and Proportional Parts.notebook

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Go over Quizzie Poos

7.4 ­ Parallel Lines and Proportional Parts.notebook

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7.4 ­ Parallel Lines and Proportional Parts.notebook

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7.4 ­ Parallel Lines and Proportional Parts.notebook

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January 13, 2014

May the (geometric) force be with you

7.4 ­ Parallel Lines and Proportional Parts.notebook

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7.4 ­ Parallel Lines and Proportional Parts.notebook

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7.4 ­ Parallel Lines and Proportional Parts.notebook

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January 13, 2014

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.

7.4 ­ Parallel Lines and Proportional Parts.notebook

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Geogebra Exploration

7.4 ­ Parallel Lines and Proportional Parts.notebook

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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

7.4 ­ Parallel Lines and Proportional Parts.notebook

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7.4 ­ Parallel Lines and Proportional Parts.notebook

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Special Case of Triangle Proportionality Theorem

7.4 ­ Parallel Lines and Proportional Parts.notebook

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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

7.4 ­ Parallel Lines and Proportional Parts.notebook

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Proportional Parts of Parallel

Lines

If three or more parallel lines intersect two transversals, they cut off the transversals proportionally.

7.4 ­ Parallel Lines and Proportional Parts.notebook

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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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