Question

1. why is the lady’s shadow in the picture not a rigid transformation?

the shadow is the same but not a clear image.
the shadow image is perpendicular to the lady’s size.
the shadow is not the same image as the lady.
the shadow is on the ground and not upright.

Explanation:

A rigid transformation preserves the shape and size (distance, angle measures) of a figure. A shadow here likely distorts the size (e.g., proportions, scale) compared to the lady, so it's not the same image (in terms of size/shape preservation). Let's analyze options:

• First option: "Same but not clear" – Rigid transformation is about shape/size, not clarity. Eliminate.
• Second option: "Perpendicular to size" – Perpendicularity isn't the key for rigid transformation (which is about preserving size/shape). Eliminate.
• Third option: "Shadow is not the same image" – Rigid transformations (translation, rotation, reflection) keep the image congruent (same shape and size). If the shadow isn't the same (size/shape), it's not rigid. This fits.
• Fourth option: "On ground and not upright" – Position (ground/upright) doesn't define rigid transformation; rigid transformations can have any orientation/position as long as shape/size is preserved. Eliminate.

Answer:

The shadow is not the same image as the lady.