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The composition of transformations that creates similar, not congruent triangles is a rotation followed by a dilation Rigid transformations maintain shape and size, while dilation changes size but keeps shape proportional. Rigid transformations like rotations, reflections, and translations preserve size and shape, resulting in congruent figures
Therefore, option d is the correct choice. The composition of transformations that creates a pair of similar, not congruent triangles is a rotation followed by a dilation Both transformations maintain size and shape, leading to congruence
Like the above, this would also create congruent triangles.
The composition of transformations that creates a pair of similar, but not congruent triangles is a rotation followed by a dilation The composition of transformations that creates a pair of similar but not congruent triangles is a rotation followed by a dilation This is because a rotation maintains the size and shape, while a dilation alters the size, leading to similarity without congruence. A rotation, reflection, and translation are rigid transformations that preserve size and shape, resulting in congruent figures
The composition of transformations that creates similar, but not congruent triangles is a rotation followed by a dilation Rotations preserve size and shape (congruence), while dilations change the size but preserve the shape (similarity). The correct composition of transformations that creates similar but not congruent triangles is a rotation followed by a dilation Rigid transformations (like reflection and rotation) preserve size and shape, leading to congruency, while dilation changes the size but keeps the shape, creating similarity.
Rigid transformations (rotation, reflection, translation) preserve size and shape, resulting in congruent figures
Dilation changes the size but preserves the shape, resulting in similar figures. The composition of transformations that will create similar, but not congruent triangles is a rotation followed by a dilation This is because rotations preserve size and shape, while dilations change size, resulting in similarity but not congruence Therefore, the correct choice is d.
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