Answer:
cone
Step-by-step explanation:
Define the given points:
- A = (0, 0)
- B = (-3, -4)
- C = (-3, 0)
As two points have the same x-coordinate and two different points have the same y-coordinate, the 2D shape the points make is a right triangle (see first attached diagram).
As points B and C lie on the same vertical line (x = -3), and point C lies on the x-axis, rotating line segment BC about the x-axis will produce a circle with center C and radius BC (4 units).
As point A lies on the x-axis, it will not move when rotated about the x-axis.
Therefore, the 3D shape the triangle will create is a cone with:
- vertex at (0, 0)
- center of circular base at (-3, 0)
- radius of circular base of 4 units
- height of 3 units
(see second attached diagram)
