The transformations could be performed to show that △ABC is similar to △A"B"C" is a 180° rotation about the origin, then a dilation by a scale factor of One-third .
What is a transformation of a graph?
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.
According to the question
In △ABC
AB = 3 units
BC = [tex]\sqrt{90}[/tex] units
CA = 9 units
In △A"B"C"
A"B" = 1 units
B"C" = [tex]\sqrt{10}[/tex] units
A"C" = 3 units
Now, the transformations could be performed to show that △ABC is similar to △A"B"C"
i > Rotate △ABC 180° about the origin
ii > then a dilation by a scale factor of One-third as we can observe that
each side of △ABC = 3 * each side of △A"B"C"
Hence, the transformations could be performed to show that △ABC is similar to △A"B"C" is a 180° rotation about the origin, then a dilation by a scale factor of One-third .
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