Using C# - Assign values of properties in an object of a class to corresponding properties in an object of another.

How can I get all the properties of an instance of a class and assign the values of those properties to the values of properties with matching names and types from an instance of another class. As shown below:-

public ClassA(ClassB objClassB)
{            
       //So rather than do this
       //this.Property1 = objClassB.Property1;
       //this.Property2 = objClassB.Property2;
       //this.Property3 = objClassB.Property3;
       //...
       //this.Propertyn = objClassB.Propertyn;


        // As I have many properties to assign
        // I want to do something like this
        foreach (var prop in this.GetType().GetProperties())
        {
            // Get the property in objClassB matching prop (in name and property type).  
            // Then assign the value of that property to the value of prop in ClassA, 
            // so that the result will be same as the code block commented out  above
        }

}

Please I do not want to use AutoMapper or any other third-party library.

Thanks