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1. a three-dimensional round figure with no edges nor vertices.

a) cylinder b) polyhedron
c) sphere d) cone

1. a solid figure whose faces are polygons

a) cone b) sphere
c) cylinder d) polyhedron

1. a solid figure that has three faces (two circular bases and one curved face on its body)

a) polyhedron b) cone
c) sphere d) cylinder

1. a solid figure whose vertex is directly above the center of its circular base.

a) polyhedron b) right cone
c) cone d) oblique cone

1. a solid figure whose vertex is not directly above the center of its circular base

a) oblique cone b) cone
c) oblique cone d) polyhedron

Explanation:

1. A sphere is a 3D round shape with no edges or vertices; cylinders have edges, polyhedrons have flat faces/edges/vertices, cones have a vertex.
2. A polyhedron is defined as a solid with faces that are polygons; cones, spheres, and cylinders have curved surfaces, not all polygonal faces.
3. A cylinder has two circular flat bases and one curved lateral face; polyhedrons have no curved faces, spheres have one curved face, cones have one circular base and one curved face.
4. A right cone is a cone where the vertex sits directly above the center of its circular base; oblique cones have offset vertices, general cones do not specify vertex position, polyhedrons have no circular bases.
5. An oblique cone is a cone where the vertex is not aligned directly above the center of its circular base; right cones have aligned vertices, general cones do not specify offset, polyhedrons have no circular bases.

Answer:

1. c) Sphere
2. d) Polyhedron
3. d) Cylinder
4. b) Right Cone
5. a) Oblique Cone (or c) Oblique Cone, as options are duplicated)