Question

which of the numbered stones shown cannot be mapped to another with a rigid motion? stones cannot be mapped to another stone with a rigid motion. (type whole numbers. use a comma to separate answers as needed.)

Explanation:

Step1: Recall the property of rigid motion

Rigid motion (translation, rotation, reflection) preserves the shape and size of a figure.

Step2: Analyze each stone

• Stone \(7\) has a unique rectangular - like shape with distinct side - length ratios compared to other stones.
• Other stones can be paired (e.g., stone \(1\) and \(9\), stone \(2\) and \(4\), stone \(3\) and \(6\), stone \(5\) and \(10\), stone \(8\) and \(13\), stone \(11\) and \(12\), stone \(14\) has a similar shape to some of the triangular - like stones in terms of angular properties for rigid - motion mapping).

Answer:

\(7\)