Answer:
Since, the coordinates of the given triangle are (0,0), (4,-4) and (-4,-2)
In the dilation by the scale factor k with centered at origin,
Thus, If the dilation occurs by the scale factor of 2 with centered at origin,
New coordinates of the triangles are,
Thus, the coordinates of new triangle are,
(0,0) ( -8, 8) and (-8,-4)
We found a counterexample, so the statement is false.
<h3>Is the statement true?</h3>
Let's use the matrix:
This is a 4x4 matrix with determinant equal to -2.
The inverse matrix is:
If we multiply it by 2, we get:
The adjoint of that is the original matrix, actually:
Which we already know, has a determinant of -2.
So the statement is false, as we found a counterexample.
If you want to learn more about matrices:
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