Answer:
The dilation is a reduction.
scale factor of the dilation is
Step-by-step explanation:
Dilation states that a transformation that changes the size of a figure. It requires a center point and a scale factor (i,e c ).
The value of scale factor c determines whether the dilation is an enlargement or a reduction.
If:
- |c| < 1 , then the dilation is a reduction
- |c| > 1 , then the dilation is an enlargement.
As you can use any side or even the height of the given triangle to calculate the scale factor.
By using Horizontal height of the given figures:
Height of the original triangle in the solid line is
Height of the dilation image in the dashed lines is:
Scale factor(c)=
then;
the, we have
Therefore, by definition of dilation :
It is a reduction as c < 1
The scale factor of the dilation is;