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Example Questions
Example Question #12 : Dilations
On the above obtuse triangle perform a dilation of scale factor with the center of the dilation at the circumcenter of the triangle. Let the images of
,
, and
be
,
, and
, respectively.
Which of the following correctly shows relative to
?
Possible Answers:
Correct answer:
Explanation:
The circumcenter of a triangle can be located by finding the intersection of the perpendicular bisectors of the three sides of the triangle. The perpendicular bisectors are shown below, with point of intersection :
Construct ,
, and
. A dilation of scale factor
with center
can be performed by letting
,
, and
be the midpoints of
,
, and
, respectively:
Removing the perpendicular bisectors and , we see that the correct choice is the figure
Robin
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