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HELP PLEASE!

What is the length of BC¯¯¯¯¯ ?

segment B C with point D between B and C. congruency markings at segment BD and at segement D C. segment B D is labeled as 18 units long

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BC = __

HELP PLEASE! What is the length of BC¯¯¯¯¯ ? segment B C with point D between B and-example-1
User Tanvi
by
8.0k points

2 Answers

6 votes

First off, we need to understand that congruent means that the lines will have the same length.

As there are congruency markings at segment BD and at segment DC, BD and DC have the same length.

Therefore, when BD=18, DC would be 18 units as well.

We can then find the length of BC, which is BD+BC.

The length of BC:

18+18

=36units

Therefore the answer is 36 units.

Hope it helps!

User Orenshi
by
8.0k points
1 vote

Answer:
\overline{BC}=36\text{ units}

Explanation:

Given :
\overline{BC} with point D between points B and C.

Also,
\overline{BD}\cong\overline{DC}

We know that the measurement of congruent line segments are equal.

Therefore,


\text{Length of }\overline{DC}=\text{Length of }\overline{BD}=18\text{ units}

Now,
\overline{BC}=\overline{BD}+\overline{DC}


\Rightarrow\overline{BC}=18+18=36\text{ units}

Hence,
\overline{BC}=36\text{ units}

User Jeremy Cade
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8.1k points