1 / 9

Properties of Midsegments

Properties of Midsegments. 5.4. Objectives. Define properties of midsegments in triangles and trapezoids. Midsegment. A midsegment of a triangle is a segment connecting the midpoints of the two sides. C. BD || AE BD = 1/2 AE. D. B. E. A. Theorem 5-1 Triangle-Midsegment Theorem

sybill-wong
Download Presentation

Properties of Midsegments

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. Properties of Midsegments 5.4

  2. Objectives • Define properties of midsegments in triangles and trapezoids

  3. Midsegment A midsegment of a triangle is a segment connecting the midpoints of the two sides.

  4. C BD || AE BD = 1/2 AE D B E A Theorem 5-1 Triangle-Midsegment Theorem If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half its length.

  5. Find the value of x.

  6. Identify the pairs of parallel segments:

  7. QR = 9, LQ = 6, and LM = 16. Find the perimeter of LNM. Find the perimeter of LQR.

  8. Trapezoid Midsegment Conjecture • The midsegment of a trapezoid is parallel to the bases and equal in length to the average of the lengths of the bases.

More Related