With the TransformBy method of an object and the Mirroring method of a Matrix, you can mirror objects along a specified mirroring plane specified by three points.

This example creates a box in model space. It then mirrors the box about a plane and colors the mirrored box red.
using Autodesk.AutoCAD.Runtime;
using Autodesk.AutoCAD.ApplicationServices;
using Autodesk.AutoCAD.DatabaseServices;
using Autodesk.AutoCAD.Geometry;
[CommandMethod("MirrorABox3D")]
public static void MirrorABox3D()
{
// Get the current document and database, and start a transaction
Document acDoc = Application.DocumentManager.MdiActiveDocument;
Database acCurDb = acDoc.Database;
using (Transaction acTrans = acCurDb.TransactionManager.StartTransaction())
{
// Open the Block table record for read
BlockTable acBlkTbl;
acBlkTbl = acTrans.GetObject(acCurDb.BlockTableId,
OpenMode.ForRead) as BlockTable;
// Open the Block table record Model space for write
BlockTableRecord acBlkTblRec;
acBlkTblRec = acTrans.GetObject(acBlkTbl[BlockTableRecord.ModelSpace],
OpenMode.ForWrite) as BlockTableRecord;
// Create a 3D solid box
using (Solid3d acSol3D = new Solid3d())
{
acSol3D.CreateBox(5, 7, 10);
// Position the center of the 3D solid at (5,5,0)
acSol3D.TransformBy(Matrix3d.Displacement(new Point3d(5, 5, 0) -
Point3d.Origin));
// Add the new object to the block table record and the transaction
acBlkTblRec.AppendEntity(acSol3D);
acTrans.AddNewlyCreatedDBObject(acSol3D, true);
// Create a copy of the original 3D solid and change the color of the copy
Solid3d acSol3DCopy = acSol3D.Clone() as Solid3d;
acSol3DCopy.ColorIndex = 1;
// Define the mirror plane
Plane acPlane = new Plane(new Point3d(1.25, 0, 0),
new Point3d(1.25, 2, 0),
new Point3d(1.25, 2, 2));
// Mirror the 3D solid across the plane
acSol3DCopy.TransformBy(Matrix3d.Mirroring(acPlane));
// Add the new object to the block table record and the transaction
acBlkTblRec.AppendEntity(acSol3DCopy);
acTrans.AddNewlyCreatedDBObject(acSol3DCopy, true);
}
// Save the new objects to the database
acTrans.Commit();
}
}
Imports Autodesk.AutoCAD.Runtime
Imports Autodesk.AutoCAD.ApplicationServices
Imports Autodesk.AutoCAD.DatabaseServices
Imports Autodesk.AutoCAD.Geometry
<CommandMethod("MirrorABox3D")> _
Public Sub MirrorABox3D()
'' Get the current document and database, and start a transaction
Dim acDoc As Document = Application.DocumentManager.MdiActiveDocument
Dim acCurDb As Database = acDoc.Database
Using acTrans As Transaction = acCurDb.TransactionManager.StartTransaction()
'' Open the Block table for read
Dim acBlkTbl As BlockTable
acBlkTbl = acTrans.GetObject(acCurDb.BlockTableId, _
OpenMode.ForRead)
'' Open the Block table record Model space for write
Dim acBlkTblRec As BlockTableRecord
acBlkTblRec = acTrans.GetObject(acBlkTbl(BlockTableRecord.ModelSpace), _
OpenMode.ForWrite)
'' Create a 3D solid box
Using acSol3D As Solid3d = New Solid3d()
acSol3D.CreateBox(5, 7, 10)
'' Position the center of the 3D solid at (5,5,0)
acSol3D.TransformBy(Matrix3d.Displacement(New Point3d(5, 5, 0) - _
Point3d.Origin))
'' Add the new object to the block table record and the transaction
acBlkTblRec.AppendEntity(acSol3D)
acTrans.AddNewlyCreatedDBObject(acSol3D, True)
'' Create a copy of the original 3D solid and change the color of the copy
Dim acSol3DCopy As Solid3d = acSol3D.Clone()
acSol3DCopy.ColorIndex = 1
'' Define the mirror plane
Dim acPlane As Plane = New Plane(New Point3d(1.25, 0, 0), _
New Point3d(1.25, 2, 0), _
New Point3d(1.25, 2, 2))
'' Mirror the 3D solid across the plane
acSol3DCopy.TransformBy(Matrix3d.Mirroring(acPlane))
'' Add the new object to the block table record and the transaction
acBlkTblRec.AppendEntity(acSol3DCopy)
acTrans.AddNewlyCreatedDBObject(acSol3DCopy, True)
End Using
'' Save the new objects to the database
acTrans.Commit()
End Using
End Sub
Sub MirrorABox3D()
' Create the box object
Dim boxObj As Acad3DSolid
Dim length As Double
Dim width As Double
Dim height As Double
Dim center(0 To 2) As Double
center(0) = 5#: center(1) = 5#: center(2) = 0
length = 5#: width = 7: height = 10#
' Create the box (3DSolid) object in model space
Set boxObj = ThisDrawing.ModelSpace. _
AddBox(center, length, width, height)
' Define the mirroring plane with three points
Dim mirrorPt1(0 To 2) As Double
Dim mirrorPt2(0 To 2) As Double
Dim mirrorPt3(0 To 2) As Double
mirrorPt1(0) = 1.25: mirrorPt1(1) = 0: mirrorPt1(2) = 0
mirrorPt2(0) = 1.25: mirrorPt2(1) = 2: mirrorPt2(2) = 0
mirrorPt3(0) = 1.25: mirrorPt3(1) = 2: mirrorPt3(2) = 2
' Mirror the box
Dim mirrorBoxObj As Acad3DSolid
Set mirrorBoxObj = boxObj.Mirror3D _
(mirrorPt1, mirrorPt2, mirrorPt3)
mirrorBoxObj.Color = acRed
ZoomAll
End Sub