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Lesson 5.1 Midsegment Theorem and Coordinate Proof

Lesson 5.1 Midsegment Theorem and Coordinate Proof. B. E. D. C. A. Vocabulary. The Midsegment of a Triangle is a segment that connects the midpoints of two sides of the triangle. D and E are midpoints. DE is the midsegment. B. E. D. C. A. Theorem 5.1. Midsegment Theorem.

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Lesson 5.1 Midsegment Theorem and Coordinate Proof

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  1. Lesson 5.1Midsegment Theorem and Coordinate Proof

  2. B E D C A Vocabulary The Midsegment of a Triangle is a segment that connects the midpoints of two sides of the triangle. D and E are midpoints DE is the midsegment

  3. B E D C A 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.

  4. Example 1 In the diagram, ST and TU are midsegments of triangle PQR. Find PR and TU. 5 ft 16 ft TU = ________ PR = ________

  5. Example 2 In the diagram, XZ and ZY are midsegments of triangle LMN. Find MN and ZY. 14 cm 53 cm ZY = ________ MN = ________

  6. 5X+2 3X  4 Example 3 In the diagram, ED and DF are midsegments of triangle ABC. Find DF and AB. x = ________ 10 DF = ________ 26 AB = ________ 52

  7. Kinds of Proofs: Two Column Proof (pg 217) has numbered statements and corresponding reasons that show an argument in a logical order. A Flow Proof (pg 250) uses arrows to show the flow of a logical argument. A Coordinate Proof (pg 259) is when you use variables to represent the coordinates of a generic figure to show the results are true for all figures of that type. A Paragraph Proof presents a logical argument as a written explanation in paragraph form.

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