Task: how many line of planes of symmetry has the following: 1. Pentagon, 2. Prism (i) rectangular (ii) square, 3. Cuboid

The image contains two main tasks related to symmetry.

Task 1: Complete the definitions for planes of symmetry.

1. Cylinder: A cylinder has an infinite number of planes of symmetry. These include the plane midway between the bases and parallel to them, and any plane containing the axis of the cylinder. $$\text{Cylinder: infinite lines of symmetry and planes}$$
2. Cone: A cone has an infinite number of planes of symmetry. These are any planes that contain the axis of the cone. $$\text{Cone: infinite lines of symmetry and planes}$$
3. Cube: A cube has 9 planes of symmetry. These include three planes parallel to the faces, three planes passing through opposite edges, and three planes passing through opposite vertices. $$\text{Cube: 9 planes of symmetry}$$

Task 2: Determine the number of planes of symmetry for the following shapes.

1. Pentagon: A regular pentagon (a 2D shape) has 5 lines of symmetry. If the question refers to a 3D pentagonal prism, it would have 6 planes of symmetry (1 rotational plane through the middle, and 5 planes passing through the midpoints of the sides and the axis). Assuming it refers to a 2D regular pentagon. $$\text{Pentagon: 5}$$
2. Prism:
   • Rectangular Prism: A rectangular prism (or cuboid) has 3 planes of symmetry. These planes pass through the midpoints of opposite faces. $$\text{Rectangular Prism: 3}$$
   • Square Prism (Cube): A square prism with equal sides is a cube. A cube has 9 planes of symmetry. $$\text{Square Prism (Cube): 9}$$
3. Cuboid: A cuboid (which is a rectangular prism) has 3 planes of symmetry. $$\text{Cuboid: 3}$$

Here are the final answers:

• Cylinder: $\boxed{\text{infinite lines of symmetry and planes}}$
• Cone: $\boxed{\text{infinite lines of symmetry and planes}}$
• Cube: $\boxed{\text{9 planes of symmetry}}$
• Pentagon: $\boxed{5}$
• Rectangular Prism: $\boxed{3}$
• Square Prism (Cube): $\boxed{9}$
• Cuboid: $\boxed{3}$