A rectangle is
sometimes/always/neverv similar to another rectangle, because we can
sometimes/always/never v
map one onto the other using only dilations and rigid transformations.

A rectangle is  sometimes similar to another rectangle, because we can  sometimes  map one onto the other using only dilations and rigid transformations.

Shapes can be mapped to another similar shape by transforming the original shape.

To transform a shape, the following must be true

For a rectangle to be mapped to another, then the corresponding side lengths of the rectangle must be in equivalent ratio

Read more about transformation at:

link

Sometimes, always

Explanation:

A rectangle is  sometimes similar to another rectangle, because we can  always  map one onto the other using only dilations and rigid transformations. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere