SOLUTION: Triangle ABC has vertices A(1,1) B(2.5,3) and C(0,-3) It is dilated by a scale factor of 1\2 about the origin to create triangle A'B'C'. What is the length, in units, of side B'

Algebra ->  Length-and-distance -> SOLUTION: Triangle ABC has vertices A(1,1) B(2.5,3) and C(0,-3) It is dilated by a scale factor of 1\2 about the origin to create triangle A'B'C'. What is the length, in units, of side B'      Log On


   

Question 1193553: Triangle ABC has vertices A(1,1) B(2.5,3) and C(0,-3) It is dilated by a scale factor of 1\2 about the origin to create triangle A'B'C'.
What is the length, in units, of side B'C' ?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

Word  " dilate "  means  " making wider "  and always is used
with the coefficient of dilation  (scale factor)  greater than  1.


Do not try to make the problem/(the things)  more confusing than it is/(they are)  in reality.


Do not distort the meaning of words.



Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The response from tutor @ikleyn is absolutely incorrect.

In mathematics, a dilation can be an enlargement (dilation by a scale factor greater than 1) or a reduction (dilation by a scale factor less than 1).

Use the Pythagorean Theorem (aka distance formula) to find the length of BC; then, since the scale factor is 1/2, divide by 2 (multiply by 1/2) to find the length of B'C'.