Ohio Assessments For Educators (OAE) Mathematics Practice Exam

In a matrix dilation, what does the factor k represent?

The degree of rotation The scale factor applied to the matrix The axis over which the matrix is reflected The position of the matrix in the coordinate plane

Correct Answer:

The scale factor applied to the matrix

Explanation:

In the context of matrix dilation, the factor k represents the scale factor that is applied to the matrix. When a matrix is dilated by a factor k, all points in the geometric figure represented by that matrix are either expanded or contracted by the scale factor. If k is greater than 1, the figure is enlarged; if k is between 0 and 1, the figure is reduced in size. Consequently, k directly influences the overall dimensions of the shape depicted by the matrix, making it a crucial element in understanding how dilations affect geometric figures. The other options concern different transformations, such as rotation, reflection, or positioning, which are not relevant to the concept of dilation specifically.

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