Question

If line n bisects CE , Find CD. You must show all your work in order to receive full credit.
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Answered by GPT 3.5
In order to find CD, we need to use the properties of a line bisecting a line segment.

Since line n bisects CE, this means that CD and DE are congruent. Therefore, CD = DE.

Let's denote the length of CD and DE as x.

Now, we have CD = x and DE = x.

Since CE is just CD and DE combined, then CE = CD + DE.

Substituting the values of CD and DE, we get CE = x + x = 2x.

But we also know that CE is a different line segment and has a known length, let's call it a. Therefore, we can set up the equation:

2x = a

To find x, we need to isolate it. We can do this by dividing both sides of the equation by 2:

2x/2 = a/2

This gives us x = a/2.

So CD is equal to half the length of CE.