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- Since lines BC, CD, and DE are all congruent, then we know that every time a line reaches either a point or an orange line, we can consider that to have a value of 1, for instance.  BD and CE, in this case, both have a value of 6, and therefore the correct answer is BD=CE.

The option third BD ≅ CE is correct because BD and CE are equal in length, so they are congruent.

What is the congruent geometry?

Congruent geometry are those that are exactly the same size and shape. Congruent is represented by the symbol ≅

We have a line segment shown in the figure:

From the figure:

BD = 2BC

BE = 3BC

BC ≅ BD (as the BC and BD are unequal in length, so they cannot be congruent)​

BD ≅ CE (as the BD and CE are equal in length, so they are congruent)​

Thus, the option third BD ≅ CE is correct because BD and CE are equal in length, so they are congruent.

Learn more about the congruent geometry here:

brainly.com/question/12413243

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