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AwesomeRepublic

Hi there!

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 [tex]BD=CE[/tex]

-AwesomeRepublic  :)

Answer:

The statement which is true about the given information is:

               BD ≅ CE

Step-by-step explanation:

From the graph that is provided to us we observe that the line segment BE is divided into three congruent line segments i.e. BC,CD and DE.

Also, BD is of greater length as compared to BC.

Hence,

[tex]BD\neq \dfrac{1}{2}BC[/tex]

and

[tex]BC=\dfrac{1}{3} BE[/tex]

Also, BC and BD are the line segments of unequal length.

Hence, they can't be congruent.

Hence, the correct option is:

                             BD ≅ CE

( Since, the two line segments are of equal lengths)

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