1 / 25

5.4 – Use Medians and Altitudes

5.4 – Use Medians and Altitudes. Line from the vertex of a triangle to the midpoint of the opposite side. Line from the vertex of a triangle perpendicular to the opposite side.

chava
Télécharger la présentation

5.4 – Use Medians and Altitudes

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 5.4 – Use Medians and Altitudes

  2. Line from the vertex of a triangle to the midpoint of the opposite side Line from the vertex of a triangle perpendicular to the opposite side

  3. Construct a triangle with the given sides. Then construct the median for each side of the triangle. What do you notice? B A A C B C

  4. C A B

  5. C A B

  6. Line from the vertex to midpoint of opposite side

  7. 2/3 the distance from each vertex and 1/3 distance from the midpoint Centroid

  8. Construct a triangle with the given sides. Then construct the perpendicular bisector for each side of the triangle. What do you notice? B A A C B C

  9. C A B

  10. C A B

  11. Line from vertex  to the opposite side

  12. orthocenter If acute – inside of triangle If obtuse – outside of triangle If right – at vertex of right angle

  13. C P I A C M O A

  14. 6

  15. In PQR,S is the centroid, PQ = RQ, UQ = 5, TR = 3, and SU = 2. Find the measure. Find TP. 3

  16. In PQR,S is the centroid, PQ = RQ, UQ = 5, TR = 3, and SU = 2. Find the measure. Find SV. 3 2

  17. In PQR,S is the centroid, PQ = RQ, UQ = 5, TR = 3, and SU = 2. Find the measure. Find RU. 3 2 4 + 2 = 6 4

  18. In PQR,S is the centroid, PQ = RQ, UQ = 5, TR = 3, and SU = 2. Find the measure. Find ST. 3 3 2 4

  19. In PQR,S is the centroid, PQ = RQ, UQ = 5, TR = 3, and SU = 2. Find the measure. Find VQ. 3 3 2 4 5

  20. In ABC,G is the centroid, AE = 12, DC = 15. Find the measure. B Find GE and AG. GE = 4 AG = 8 E D 12 G A C F

  21. In ABC,G is the centroid, AE = 12, DC = 15. Find the measure. B Find GC and DG. GC = 10 DG = 5 E D 12 G 15 A C F

  22. Point L is the centroid for NOM. Use the given information to find the value of x. OL = 5x – 1 and LQ = 4x – 5 5x – 1 2(4x – 5) 5x – 1 = 4x – 5 5x – 1 = 8x – 10 –1 = 3x – 10 9 = 3x 3 = x

  23. Point L is the centroid for NOM. Use the given information to find the value of x. LP = 2x + 4 and NP = 9x + 6 9x + 6 3(2x + 4) = 6x + 12 = 9x + 6 9x + 6 12 = 3x + 6 2x + 4 6 = 3x 2 = x

More Related