Question

rotate each shape about the line and find the matching solid.

Explanation:

Analyze rotation of a square about its side

Rotating a square about one of its vertical sides sweeps out a solid cylinder of radius equal to the side length and height equal to the side length. This matches solid A.

Analyze rotation of a square about its vertical line of symmetry

Rotating a square about a vertical line passing through its center sweeps out a solid cylinder of radius equal to half the side length and height equal to the side length. This matches solid B.

Analyze rotation of a square about its diagonal

Rotating a square about its diagonal sweeps out two cones joined at their bases, forming a double cone. This matches solid C.

Answer:

No.	Problem	Answer
2	Square rotated about its vertical line of symmetry	B
3	Square rotated about its diagonal	C