diff --git a/lib/rspec/rails/matchers/have_rendered.rb b/lib/rspec/rails/matchers/have_rendered.rb
index 6733c9f8a2..f00e2cf9ae 100644
--- a/lib/rspec/rails/matchers/have_rendered.rb
+++ b/lib/rspec/rails/matchers/have_rendered.rb
@@ -4,21 +4,49 @@ module Matchers
       # Matcher for template rendering.
       module RenderTemplate
         # @private
-        class RenderTemplateMatcher < RSpec::Matchers::BuiltIn::BaseMatcher
-          def initialize(scope, expected, message = nil)
-            @expected = Symbol === expected ? expected.to_s : expected
+        class RenderTemplateMatcher < RSpec::Matchers::DSL::Matcher
+          def initialize(name, scope, expected, message = nil)
             @message = message
             @scope = scope
+            @expected = Symbol === expected ? expected.to_s : expected
+            @rescued_exception = nil
             @redirect_is = nil
+
+            declarations = lambda do |_|
+              match do |_actual|
+                match_check = match_unless_raises ActiveSupport::TestCase::Assertion do
+                  scope.assert_template @expected, @message
+                end
+                check_redirect unless match_check
+                match_check
+              end
+
+              failure_message do |_|
+                if @redirect_is
+                  @rescued_exception.message[/(.*?)( but|$)/, 1] +
+                    " but was a redirect to <#{@redirect_is}>"
+                else
+                  @rescued_exception.message
+                end
+              end
+
+              failure_message_when_negated do |_|
+                "expected not to render #{@expected.inspect}, but did"
+              end
+            end
+            super(name, declarations, scope, expected)
           end
 
+          # matches unless a matcher raises one of a specified set of exceptions
           # @api private
-          def matches?(*)
-            match_check = match_unless_raises ActiveSupport::TestCase::Assertion do
-              @scope.assert_template expected, @message
+          def match_unless_raises(*exceptions)
+            exceptions.unshift Exception if exceptions.empty?
+            begin
+              yield
+              true
+            rescue *exceptions => @rescued_exception
+              false
             end
-            check_redirect unless match_check
-            match_check
           end
 
           # Uses normalize_argument_to_redirection to find and format
@@ -31,21 +59,6 @@ def check_redirect
             return unless response.respond_to?(:redirect?) && response.redirect?
             @redirect_is = @scope.send(:normalize_argument_to_redirection, response.location)
           end
-
-          # @api private
-          def failure_message
-            if @redirect_is
-              rescued_exception.message[/(.*?)( but|$)/, 1] +
-                " but was a redirect to <#{@redirect_is}>"
-            else
-              rescued_exception.message
-            end
-          end
-
-          # @api private
-          def failure_message_when_negated
-            "expected not to render #{expected.inspect}, but did"
-          end
         end
 
         # Delegates to `assert_template`.
@@ -53,10 +66,16 @@ def failure_message_when_negated
         # @example
         #     expect(response).to have_rendered("new")
         def have_rendered(options, message = nil)
-          RenderTemplateMatcher.new(self, options, message)
+          RenderTemplateMatcher.new("have_rendered", self, options, message)
         end
 
-        alias_method :render_template, :have_rendered
+        # Delegates to `assert_template`.
+        #
+        # @example
+        #     expect(response).to render_template("new")
+        def render_template(options, message = nil)
+          RenderTemplateMatcher.new("render_template", self, options, message)
+        end
       end
     end
   end