Question

every point equally distant from a fixed point moving in a circular manner refers to which transformation?reflectiondilationrotationtranslationtranslations are best described as: changes in position or orientation of a shapeturns around a fixed pointstays in the same locationflips over a line of reflectionslides along a linear pathwhich of the following is true for all rigid transformations? they always change the figures orientationthey do not change the size or shape of the figurethey can only be performed on the coordinate planethey result in a change of the figures original positionwhat is the main characteristic of a rigid transformation? *it preserves the shape and size of the figureit distorts the shape of the figureit flips the figure upside downit changes the size of the figure

Explanation:

• First question: Rotation is a transformation where every point moves in a circular manner around a fixed point. Reflection flips over a line, dilation changes size, and translation slides.
• Second question: Translation slides along a linear path. Changing position/orientation is too vague, turning around a fixed point is rotation, staying same is no transformation, flipping is reflection.
• Third question: Rigid transformations (like translation, rotation, reflection) do not change size or shape. They don't always change orientation (e.g., some translations), can be in 3D (not just coordinate plane), and not all change original position (e.g., identity transformation).
• Fourth question: The main characteristic of a rigid transformation is preserving shape and size. Distorting shape, flipping upside - down (a type of reflection which is still rigid if size preserved), and changing size are not main characteristics (changing size is non - rigid).

Answer:

1. Rotation
2. slides along a linear path
3. They do not change the size or shape of the figure
4. It preserves the shape and size of the figure