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91Ó°ÊÓ

For the following figure, if OE=4and WE=8, name two segments congruent to WE¯.

Short Answer

Expert verified

The two segments are congruent to WE¯ is CR¯,CE¯ .

Step by step solution

01

Step 1. Check the figure.

Consider the figure â–±CREW.

02

Step 2. Apply the concept of the parallelogram.

In a parallelogram, opposite sides of a parallelogram are equal to each other, and diagonals of a parallelogram bisect each other.

03

Step 3. Step description.

Here, CREW is a parallelogram.

Since the opposite sides are congruent in a parallelogram, thus CR¯and WE¯are the opposite sides and WE¯≅CR¯.

As the diagonal bisects each other thus CE¯and WR¯bisect each other.

04

Step 4. Step description.

From the figure, O is the midpoint of CE¯such that CE=OE=4.

Thus, simplify the equation as follows:

CE−CO+OECE=4+4CE=8

Since WE=CEthis WE¯≅CE¯

Therefore, the segments are congruent to WE¯are CE¯,CR¯.

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