We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

Triangle ABC is transformed with the center of dilation at the origin.

Pre-image: △ABC with vertices A(2, 5), B(6, 10), C(9, −1)

Image: △A′B′C′ with vertices A′(0.5, 1.25), B′(1.5, 2.5), C′(2.25, −0.25)

What is the scale factor of the dilation that maps the pre-image to the image?

AngelRay Nov 14, 2017

#1**+2 **

Do get the coordinates of the new image from the previous, divide the points of the original by the corresponding points, after translating them both so that the point of dilation is 0 (found by drawing lines through each corresponding point and seeing where they all intersect). In this case, A'B'C' has a relative scale factor of \(\frac{1}{4}\).

helperid1839321 Nov 14, 2017