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Not necessarily. <br />
REST web services also can have XML payloads. <br />
If however you have to deal with wsdl responses, then SOAP is involved.<br />
<br />
Show us the specs or an example and we'll tell you.
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In this case I am using ScriptManager and ServiceReference &nbsp;to register my asmx service in my aspx form and then calling my service method from a javascript function.<br />
I know using Scriptmanager and Service tags generate the web service specified proxy classes.<br />
<br />
Am I still dealing with a wsdl by calling my web service this way?<br />
<br />
I guess what I am saying when dealing a asmx service or wcf service, are we always enclosing the output from the service no matter if service is returning JSON or XML with a SOAP envelope?
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When making a <b>AJAX </b>call to xml web service or wcf service, is <b>SOAP </b>involved with the data transfer?
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When making a AJAX call to xml web service or wcf service, is SOAP involved with the data transfer?

Not necessarily. 
REST web services also can have XML payloads. 
If however you have to deal with wsdl responses, then SOAP is involved.

Show us the specs or an example and we&amp;#39;ll tell you.

In this case I am using ScriptManager and ServiceReference  to register my asmx service in my aspx form and then calling my service method from a javascript function.
I know using Scriptmanager and Service tags generate the web service specified proxy classes.

Am I still dealing with a wsdl by calling my web service this way?

I guess what I am saying when dealing a asmx service or wcf service, are we always enclosing the output from the service no matter if service is returning JSON or XML with a SOAP envelope?

AJAX call to web service

Asynchronous JavaScript and XML (AJAX) is a group of interrelated Web development techniques used on the client-side to create asynchronous Web applications. With AJAX, web applications can send data to and retrieve from a server asynchronously (in the background) without interfering with the display and behavior of the existing page. HTML and CSS can be used in combination to mark up and style information. The Document Object Model (DOM) is accessed with JavaScript to dynamically display and allow interaction with the information presented.

AJAX

Windows Communication Foundation (WCF) is a tool used to implement and deploy a service-oriented architecture (SOA) to support distributed computing where services have remote consumers. It features a runtime and a set of APIs in the .NET Framework for building connected, service-oriented applications. Services typically have a WSDL interface (Web Services Description Language) that any WCF client can use to consume the service, regardless of which platform the service is hosted on. WCF implements many advanced Web services (WS) standards such as WS-Addressing, WS-ReliableMessaging, WS-Security, RSS Syndication Services, WS-Discovery, routing and better support for REST services.

A Web service is a method of communication between two electronic devices over a network. It is a software function provided at a network address over the Web with the service always on as in the concept of utility computing. A web service has an interface described in Web Services Description Language (WSDL). Other systems interact with the Web service in a manner prescribed by its description using SOAP (Simple Object Access Protocol) messages. There are two major classes of Web services: REST-compliant web services, and Arbitrary web services.