1.Which of the following transformations is non-rigid?
A. dilation
B. translation
C. rotation
D. reflection
4. How would you describe the image of a figure after a non-rigid transformation?
A. Neither the size nor the shape of the original figure changed.
B. Either the size or the shape of the original figure changed.
C. Only the shape of the original figure changed.
D. Only the size of the original figure changed.
5. If you perform a non-rigid motion on a polygon, will the type of polygon change? Explain.
A. No. The polygon will have a different number of vertices, so it will be the same general polygon.
B. Yes. The polygon will have the same number of vertices, so it will be a different type of polygon.
C. Yes. The polygon will have a different number of vertices, so it will be a different type of polygon.
D. No. The polygon will have the same number of vertices, so it will be the same general polygon.
1. A. dilation
4. B. Either the size or the shape of the original figure changed.
5. C. Yes. The polygon will have a different number of vertices, so it will be a different type of polygon.
1. The non-rigid transformation among the given options is:
A. dilation
4. The correct description of the image of a figure after a non-rigid transformation is:
B. Either the size or the shape of the original figure changed.
5. If you perform a non-rigid motion on a polygon, the type of polygon will:
C. Yes. The polygon will have a different number of vertices, so it will be a different type of polygon.
1. To determine which of the given transformations is non-rigid, we need to understand what each transformation does.
A dilation is a transformation that changes the size of a figure but keeps the shape the same. It scales the figure either larger or smaller.
A translation is a transformation that moves a figure from one location to another without changing its size or shape. It shifts the figure in a specific direction.
A rotation is a transformation that turns a figure around a fixed point called the center of rotation. It does not change the size or shape of the figure, only its orientation.
A reflection is a transformation that flips a figure over a line called the line of reflection. It also does not change the size or shape of the figure, but it changes its orientation.
Based on the explanations, the only transformation that does not preserve the shape of the figure is dilation. Therefore, A. dilation is the non-rigid transformation.
4. After a non-rigid transformation, the image of a figure can change either in size or shape, or both. This means that either the size or the shape of the original figure (or both) can change. So, the correct answer is B. Either the size or the shape of the original figure changed.
5. When performing a non-rigid motion on a polygon, the type of polygon will not change. The type of polygon is defined by the number of vertices it has and the arrangement of those vertices. Non-rigid transformations may change the size and shape of the polygon, but they do not affect the number of vertices or the overall structure of the polygon. Therefore, the correct answer is D. No. The polygon will have the same number of vertices, so it will be the same general polygon.