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Finding slope for B'C'

Algebra
Tutor: None Selected Time limit: 1 Day

ABC is an isosceles right triangle in which  has a slope of -2 and mABC = 90°. ABC is dilated by a scale factor of 2.6 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of  ?

I'm confused on how to dilate it and get a slope other than 0 for B'C'. Every time I do the problem I get 0 and that isn't the right answer

Mar 20th, 2015

Imagine the triangle centered on the origin. The slope of -2 MUST be the hypotenuse since the legs are vertical and horizontal line segments.

Now when you dilate the triangle by ANY amount, all the sides of the triangle grow by the same amounts.

So, the slope of the new triangle A'B'C' does NOT change. It remains -2.

Mar 20th, 2015

The answer was not -2 but instead 1/2

Mar 20th, 2015

But that would be a ROTATION of 90 degrees, not a dilation.

Mar 20th, 2015

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Mar 20th, 2015
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Mar 20th, 2015
Dec 8th, 2016
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