Section 5.1 Midsegment Theorem and Coordinate...
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Transcript of Section 5.1 Midsegment Theorem and Coordinate...
5.1 notes.notebook
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February 02, 2012
Warm UpThe Case:Bob speaks fluent English (and a number or other languages), and works in a fast‐food restaurant. He does not have an artificial breathing apparatus, but he lives (and breaths) comfortably at the bottom of the ocean. Each day, he and his friends visit living rooms around the world, without ever leaving the ocean floor.
The Mystery: What is Bob's full name?
The Clues:Bob is a real animal.Bob is a total square. Bob's best friends are a sea star and a squid. Bob is quite animated.Bob knows Nick.
Section 5.1Midsegment Theorem and Coordinate Proof
Reminder: tomorrow meet in F2A computer lab!
Vocabulary
Midsegment: A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.
Theorem 5.1: Midsegment Theorem
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.
A
B
C
D E DE || AC and DE = 1/2 AC
Example 1Use the Midsegment Theorem to find lengths
(a) In the diagram, DF and EF are midsegments of ΔABC. Find DF and AB.
A
B C
D
E
F
45 in.
90 in.
Example 1Use the Midsegment Theorem to find lengths
(b) In the diagram, ST and TU are midsegments of ΔPQR. Find PR and TU.
5.1 notes.notebook
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February 02, 2012
Example 2Use the Midsegment Theorem
(a) In the diagram, XZ and ZY are midsegments of ΔLMN. Find MN and ZY.
Example 2Use the Midsegment Theorem
(b) In the diagram, ED and DF are midsegments of ΔABC. Find DF and AB.
Essential QuestionHow do you use the
Midsegment Theorem?
Tonight's Homeworkp. 262 #113 all
