The purpose
Here are two methods for creating symmetrical objects in Blender.
Environment
Blender:3.4.1
Symmetry achieved through modifiers
modifiers
We’ll create an object that we want to make bilaterally symmetrical.
Set the mode to Object Mode and select the created object.
This time, we’ve prepared an object like the one shown below.

Select ‘Add Modifier’ from the Modifier Properties tab.

Select “Mirror” from the displayed list.

Result
Adding the modifier results in the object becoming bilaterally symmetrical as shown below.

Symmetry other than X-axis symmetry
To create symmetry about an axis other than the X-axis, select the desired coordinate axes from the list below. (Multiple selections allowed).

Modification
The center of symmetry is the object’s origin (yellow dot).
Improvements may be achieved by following the steps below.
If the object’s origin is not in the intended location, please refer to the following page for correction.
Bilateral symmetry using a mesh menu
I will create an object that I want to be bilaterally symmetrical.
This time, I’ve prepared an object like the one shown below.

Switch to Edit Mode, then select the vertices you want to mirror. (You don’t need to select all of them.)

Select “Symmetry” from the “Mesh” menu.
Result
The above operation results in a symmetrical object.

Modification
The center of symmetry is the object’s origin (yellow dot).
Improvements may be achieved using the following procedure.
If the object’s origin is not in the intended location, please refer to the following page for correction.
Symmetry other than X-axis symmetry
If you want symmetry other than across the X-axis, or if the symmetry isn’t applied in the intended direction, select the desired symmetry direction from the dropdown menu displayed in the lower left after executing “Symmetrize”.

The difference between the two methods
The two methods yield similar results, but there are differences.
Symmetrical object
Symmetry via modifiers
The entire object is the target
Bilateral symmetry using a mesh menu
Selected vertices are the targets.
Maintaining symmetry
Symmetry via modifiers
Editing the base region of the modifier (e.g., the left side) automatically updates the mirrored region created by the modifier, maintaining symmetry.
Bilateral symmetry using a mesh menu
Vertices can be manipulated individually.
Left-right symmetry is not preserved.
Manipulation of points created after execution
Symmetry via modifiers
It cannot be operated.
The area created by the modifier is not a mesh.
To operate, you need to click the “V” displayed in the target mirror of the “Modifier Properties” and click “Apply”.

After applying the operation, the generated mesh points can be edited; however, symmetry will no longer be maintained.
Bilateral symmetry using a mesh menu
Can be operated.
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