Question

what two - dimensional figure could be rotated to generate the three - dimensional solid above? 2 of 8 questio

Explanation:

Step1: Recall rotation of 2D shapes

When a 2D shape is rotated around an axis, it forms a 3D solid.

• A circle is already a 2D shape. Rotating a circle around its diameter (any line passing through the center) generates a sphere.
• A right - angled triangle rotated around one of its legs generates a cone.
• An equilateral triangle rotated around an axis (not in a simple way as a circle) does not form a sphere.
• A rectangle rotated around one of its sides generates a cylinder.

Answer:

The first option (the circle) is the two - dimensional figure that can be rotated to generate the three - dimensional solid (a sphere).