QuestionWhich option is not a similarity transformation: a. Translation, b. Dilation, c. Rotation, d. Stretch?
Studdy Solution
STEP 1
Assumptions1. A similarity transformation is a transformation that changes the position, orientation, or size of a figure, but not its shape.
. Translation, rotation, and dilation are all types of similarity transformations.
3. A stretch is a transformation that changes the shape of a figure.
STEP 2
Now, we will analyze each option one by one.a. Translation A translation moves a figure along a vector, so that every point of the figure moves the same distance in the same direction. It does not change the shape or size of the figure, so it is a similarity transformation.
STEP 3
b. Dilation A dilation changes the size of a figure, but not its shape. It is a similarity transformation because it preserves the shape of the figure.
STEP 4
c. Rotation A rotation turns a figure around a fixed point. It does not change the shape or size of the figure, so it is a similarity transformation.
STEP 5
d. Stretch A stretch changes the shape of a figure by expanding or contracting it in only one direction. It does not preserve the shape of the figure, so it is not a similarity transformation.
The transformation that is not a similarity transformation is a stretch.
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