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Posted by on Thursday, July 31, 2014 at 6:04pm.

Point Q is the image of point P under a dilation with center O and scale factor 4. If PQ = 18, then what is OP?

  • Translations - , Thursday, July 31, 2014 at 7:03pm

    all distances also scale by a factor of 4.

  • Translations - , Thursday, July 31, 2014 at 7:18pm

    Sorry, but that's not right :(
    I really need to do this. Any help?

  • Translations - , Friday, August 1, 2014 at 6:04am

    what do you mean by "that's not right?" What calculation did you do?

    Without loss of generality, we can take the distances to be measured along the x-axis.

    We have two points, P and Q on the x-axis, where

    OQ = 4(OP) because of the dilation.
    Since PQ=18, that means that 3/4 of the distance OQ = 18.

    So, OQ = 24 and OP = 6.

    All because the distances grew by a factor of 4, as I said.

  • Translations - , Friday, August 1, 2014 at 12:34pm

    Like I said, the answer is wrong! I put it into my online class and it said it was 6. Thanks a whole bunch, Steve.

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