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5-2 Medians and Altitudes N#____ ____/____/____

5-2 Medians and Altitudes N#____ ____/____/____. Median: A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side. A. B. C. E. E1 is the median of . Find x and DF if , and . E. F.

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5-2 Medians and Altitudes N#____ ____/____/____

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  1. 5-2 Medians and Altitudes N#____ ____/____/____

  2. Median: A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side. A B C E

  3. E1 is the median of . Find x and DF if , and . E F D G

  4. The point of concurrency of the medians of a triangle is called the centroid.

  5. Centroid Theorem: The distance from the vertex to the centroid is double the distance from the side to the centroid. B F D Q A C E

  6. E2 In , Q is the centroid and . Find BQ and QE. F B D Q E3 In , Q is the centroid and . Find QR and ZR. A C E Y R S Q Z X T

  7. Altitude: A segment from a vertex perpendicular to the line containing the opposite side. A B C E

  8. K E4 In , is an altitude. Find the value of y if . J L T

  9. The point of concurrency of the altitudes of a triangle is called the orthocenter

  10. In a right triangle each leg is also an altitude

  11. A#____ ___/___/___ Pg 337 #’s 1, 2, 5-10, 16-20, 24, 25

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