Question

ty uses a sailboat in a shadow play. the distance between the sailboat and the screen changes.
when the distance changes, the shadow represented by \\( \triangle abc \\) forms \\( \triangle a ^ { prime } b ^ { prime } c ^ { prime } \\).
what happened to figure \\( abc \\)?
choose all that apply.
it changed position.
it changed shape.
its vertices moved along the rays.
it changed size.

Explanation:

• Position change: The location of the triangle in the coordinate - grid has clearly shifted, so it changed position.
• Vertices moving along rays: In a dilation (which is related to the shadow - play concept where light rays are involved), the vertices of the original figure (triangle \(ABC\)) move along the rays (the lines from the light source).
• Size change: The new triangle \(A'B'C'\) is larger than the original triangle \(ABC\), so it changed size.
• Shape not changed: Since it is a dilation (a type of similarity transformation), the shape of the triangle remains the same (both are triangles).

Answer:

It changed position, Its vertices moved along the rays, It changed size.