QuestionDilation is a non-isometric transformation. True or False?
Studdy Solution
STEP 1
Assumptions1. Dilation is a transformation that alters the size of a figure without changing its shape. . An isometric transformation (also known as a congruence or a rigid transformation) is a transformation that preserves length, angle measure, and orientation.
STEP 2
We need to understand the definition of dilation. Dilation is a transformation that changes the size of a figure, but not its shape. The transformation can either increase or decrease the size of the figure, but the angles and relative lengths of the sides remain the same.
STEP 3
We need to understand the definition of an isometric transformation. An isometric transformation, also known as a congruence or a rigid transformation, is a transformation that preserves length, angle measure, and orientation. This means that the figure remains exactly the same size and shape; it may only change position or orientation.
STEP 4
Now that we understand the definitions of dilation and isometric transformation, we can compare them to determine whether dilation is an isometric transformation. Since dilation changes the size of a figure, but an isometric transformation preserves size, we can conclude that dilation is not an isometric transformation.
Therefore, the statement "ilation is a non-isometric transformation" is true.
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