Question

1. identify which figure is formed by the rotation of a rectangle and which is formed by the rotation of a triangle.

Explanation:

Step1: Recall Rotation of Rectangle

When a rectangle is rotated about one of its sides, it forms a cylinder. The side acts as the axis, and the rectangle's length and width create the circular bases and height of the cylinder.

Step2: Recall Rotation of Triangle

When a right - triangle is rotated about one of its legs, it forms a cone. The leg acts as the axis, and the hypotenuse traces the lateral surface of the cone.

Step3: Identify Figures

Looking at the given figures, the cylinder (the middle - right figure among the second set of figures) is formed by the rotation of a rectangle. The cone (the left - most figure among the second set of figures) is formed by the rotation of a triangle. The cube, sphere, and other prismatic figures are not formed by rotating a rectangle or a triangle in the way described (a cube is a polyhedron with square faces, a sphere is formed by rotating a semicircle, etc.).

Answer:

The cylinder is formed by the rotation of a rectangle, and the cone is formed by the rotation of a triangle.