DuplicateRule is used to retrieve and deploy Duplicate Rules.
MatchingRule is used to retrieve and deploy Matching Rules.
Sample Package.xml:
<?xml version="1.0" encoding="UTF-8"?>
<Package xmlns="http://soap.sforce.com/2006/04/metadata">
<types>
<members>Lead.Test_Duplicates_Rule</members>
<name>DuplicateRule</name>
</types>
<types>
<members>Lead.Test_Lead_Matching_Rule</members>
<name>MatchingRule</name>
</types>
<version>43.0</version>
</Package>