Which equation is represented by the graph?
1 answer:
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Transformation that changes the size of a shape is referred to as dilation.
- The scale factor that moves the large triangle to the small one is 1/5
- The center of dilation is: (-1,1)
<u>The center of dilation</u>
From the diagram (see attachment), the triangles share a common vertex at (-1,1)
This means that, the center of dilation is (-1,1)
<u>The scale factor of dilation</u>
To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.
From the attached image:
So, the scale factor (k) from large to small is:
Read more about dilation at:
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
well then therefore
so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )