Question

State the property that justifies the statement.
If 1/5BC=1/5DC, then BC=DE
Please Help.

Answer 1

Do you mean
\(\dfrac{1}{5}BC = \dfrac{1}{5}DC \) ?

Answer 2

yes, i just didn't know how to put it in proper form

Answer 3

Ok.
Both sides are being multiplied by 1/5.
You need to get rid of a multiplication by 1/5.
What do you multiply 1/5 by to get 1?

Answer 4

5?

Answer 5

Correct.
BTW, you have a small mistake in the given of the problem.
Are you supposed to have DC or DE on the right side. You have both, one on each line.

Answer 6

Okay thanks, and yeah its suppose to be DE on both sides,

Answer 7

Ok, back to the problem.
We already know you need to multiply both sides by the same number to get the answer you want.
That is the "multiplication property of equality."

Answer 8

Okay, I ended up with 1 BC=1DE

Answer 9

Which is the same as BC = DE, what the problem is asking for.
The question the problem asks is what property do you use to get to that conclusion.
The property is "multiplication property of equality."

Answer 10

Okay, thanks alot

Answer 11

wlcm