Which of these properties (size, shape, and orientation) are preserved in a translation, rotation, reflection, dilation.

Answer 1

In a translation, we're basically moving the same shape to different location. Therefore, the size, shape, and orientation are maintained.

In a rotation, we're moving the shape in varying angles. Therefore, the size and shape are maintained; however, the orientation may differ.

In a reflection, we're doing a mirror-image. Therefore, the size and shape will be maintained; however, the orientation will differ.

In a dilation, we're adjusting the size. Think of it is as zooming in and out. Therefore, the shape and orientation will be maintained; however, the size will differ.

Answer 2

In geometry, a translation of a function means every point is moved left/right or up/down from it's original position in the same direction and distance from where it originally was. That means that in a translation, size, shape and orientation are preserved.

In a rotation of a function, one point remains in place and all of the others are moved in the same direction around and stay the same distance away from the fixed point as they once were. Size and shape would be preserved, but orientation would be changed.

In the reflection of a function, a line/axis of reflection is selected and all points along the function are flipped along that axis to become a mirror image of what it once was. Size and shape would be preserved, but orientation is likely to change, unless the function is symmetrical and the axis of reflection is along an axis of symmetry.

A dilation of a function is keeps the function the same shape and orientation, but changes its size (can make wider, or bigger).