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Suppose you have a triangle, and you want to construct a similar triangle. Which twotransformations will result in a triangle that is similar, but is not congruent?Rotation and ReflectionReflection and TranslationReflection and DilationTranslation and Rotation

User Goldengirl
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1 Answer

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The key to understanding what the question requires is to pay atention to the details given to us in the question:

I. We have a triangle

II. We want to construct a similar triangle

III. The triangle in II is to be similar but not congruent (of identical sizes)

To achieve the following, we must understand the varying types of transformations available

Rotation means that the shape is turned about a fixed point (the center of rotation); the shape remains the same size, only its direction is changed

Reflection means that all the vertices of a figure are flipped (kind of like a mirror image); the shape remains the same size, only its direction is changed

Translation means that the figure is moved in a straight line; the shape remains the same size, its direction/orientation remains the same

Dilation means that the figure is of a different size; the shape remains the same, the size is different

Hence, the correct answer is Reflection and Dilation (option C)

User Gurmokh
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