Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:6. KAWE is an isosceles trapezoid with midsegment LS.
Determine the length of LS.
2 6
2x
W
4x-4
Students, draw anywhere on this slidel
Expert Solution
Step 1
Given, KAWE is a isosceles trapezoid which means that it has congruent diagonals.
We need to determine the length of mid-segment LS.
Now, Midsegment or Median of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.
According to the theorem, the midsegment or median for a trapezoid is parallel to each base and is one half the sum of the bases.
Thus, for this figure , we can conclude that:
Length of LS =
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