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();
}
}