HW – 5.1 Mid-Segments
Name: __________________
Block: ______
Date: __________
Use your knowledge of mid-segments to answer the following questions.
1.) Given DE is the length of the
mid-segment. Find AB.
2.) Find DE.
3.) Find the measure of ∠NPO.
4.) Given DE, DF, and FE are the lengths
of mid-segments. Find the perimeter of
triangle ABC.
5.) Given AC = 26, CB = 10, AB = 26.
D, E & F are midpoints.
Find the perimeter of ΔDEF.
6.) ̅̅̅̅
𝐷𝐸 is a mid-segment of ∆𝐴𝐵𝐶. Find the
value of x.
Use ∆𝑮𝑯𝑱, where D, E, and F are midpoints of the sides.
7.) If DE = 4x + 5 and GJ = 3x + 25, what is DE?
8.) If EF = 2x + 7 and GH = 5x – 1, what is EF?
9.) If HJ = 8x – 2 and DF = 2x + 11, what is HJ?
̅̅̅̅ does not appear to be a mid-segment of ∆𝐴𝐶𝐸.
10.) Error Analysis Explain why 𝐵𝐷
11.) The mid-segment ̅̅̅̅̅
𝐴𝐵 represents a new walkway that is to be constructed on the
campus. What are the coordinates of points A and B?