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56-57 Midsegments of Triangles Skill #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. B. E. D. C. A. Theorem 5.1. Midsegment Theorem.

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## 56-57 Midsegments of Triangles Skill #2

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**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 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.**Example 1**In the diagram, ST and TU are midsegments of triangle PQR. Find PR and TU. 5 ft 16 ft TU = ________ PR = ________**Example 2**In the diagram, XZ and ZY are midsegments of triangle LMN. Find MN and ZY. 14 cm 53 cm ZY = ________ MN = ________**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**B**E D C A Midsegment Theorem Example 1 Example 3 Using Algebra Example 2**5X+2**3X - 4 In the diagram, ST and TU are midsegments of triangle PQR. Find PR and TU. ____ & ____ are midpoints ____ || ____ _____= ½ _____ 2_____=_______ PR = ________ TU = ________ In the diagram, XZ and ZY are midsegments of triangle LMN. Find MN and ZY. In the diagram, ED and DF are midsegments of triangle ABC. Find DF and AB. MN = ________ ZY = ________ DF = ________ x = ________ AB = ________

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