MoonShine41
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If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u? triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED, CE equals p, EA equals r, CD equals q, DB equals t, ED equals s, and AB equals u u equals p over q u = one halfs u equals q over p u = 2s

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cheerbug2024

Answer:

u=2s

Step-by-step explanation:

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The expression that most effectively represents u's value would be:

D). u = 2s

Given that,

In ΔABC,

E is the midpoint in the segment AC,

While D is the midpoint of BC,

As different letters are provided equivalent to different segments. For example; Segment ED = s ; Segment CE = p ; Segment EA = r

Segment CD = q ; Segment DB = t ; Segment ED = s ; Segment AB = u

As,

CE = 0.5 × AC(midpoint)

CD = 0.5 × CB (midpoint)

Thus,

CE/AC = CD/CB = ED/AB = 1/2           (Through side angle side similarity)

Since ED = s and AB = u

∵ u = 2s                                   (using midpoint theorem)

Thus, option D is the correct answer.

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