Answer :
The scale factor of dilation maps triangle ABC to triangle AFE is -1/2
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.
The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
The scale factor of dilation explains how the size of the figure has changed.
An expansion has a scale factor of x > 1 (greater than 1). A reduction is a scale factor that is 0 x 1 (higher than 0 but less than 1).
According to the figure ,
E is the mid-point of AC,
Therefore , AE is double of AC
=> 2AE = AC
=> AE = 1/2× AC
To find the scale factor from △ABC to △AFE is to find AE / AC,
AE / AC = (1/2 × AC) / AC
=> 1/2
The triangle DEF is turned upside-down, and that makes the scale factor negative.
The scale factor is -1/2
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