diff --git a/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGBoundaryNodeRuleTest.java b/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGBoundaryNodeRuleTest.java
index e076d4bc93..3c6bfc60ba 100644
--- a/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGBoundaryNodeRuleTest.java
+++ b/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGBoundaryNodeRuleTest.java
@@ -118,6 +118,18 @@ public void testPolygonEmptyMultiLineStringClosed()
     runRelate(a, b,  BoundaryNodeRule.ENDPOINT_BOUNDARY_RULE,  "FFFFFF102"    );
   }
 
+  public void testLineStringInteriorTouchMultivalent()
+  {
+    String a = "POLYGON EMPTY";
+    String b = "MULTILINESTRING ((0 0, 0 1), (0 1, 1 1, 1 0, 0 0))";
+
+    // closed line has no boundary under SFS rule
+    runRelate(a, b,  BoundaryNodeRule.OGC_SFS_BOUNDARY_RULE,   "FFFFFF1F2"    );
+    
+    // closed line has boundary under ENDPOINT rule
+    runRelate(a, b,  BoundaryNodeRule.ENDPOINT_BOUNDARY_RULE,  "FFFFFF102"    );
+  }
+
   void runRelate(String wkt1, String wkt2, BoundaryNodeRule bnRule, String expectedIM)
   {
     Geometry g1 = read(wkt1);
diff --git a/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGTest.java b/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGTest.java
index 1d50364658..21f1aac5fe 100644
--- a/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGTest.java
+++ b/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGTest.java
@@ -597,6 +597,37 @@ public void testRepeatedPointAA() {
     checkRelate(a, b, "212F01FF2");
   }
   
-  
+  //================  Repeated Points  ==============
+
+  public void testEmptyEquals() {
+    String empties[] = {
+        "POINT EMPTY",
+        "LINESTRING EMPTY",
+        "POLYGON EMPTY",
+        "MULTIPOINT EMPTY",
+        "MULTILINESTRING EMPTY",
+        "MULTIPOLYGON EMPTY",
+        "GEOMETRYCOLLECTION EMPTY"
+    };
+    int nempty = 7;
+    for (int i = 0; i < nempty; i++) {
+      for (int j = 0; j < nempty; j++) {
+        String a = empties[i];
+        String b = empties[j];
+        checkRelate(a, b, "FFFFFFFF2");
+        //-- currently in JTS empty geometries do NOT test equal
+         checkEquals(a, b, false);
+      }
+    }  
+  }
+  
+  //================  Prepared Relate  ==============
+  
+  public void testPreparedAA() {
+    String a = "POLYGON((0 0, 1 0, 1 1, 0 1, 0 0))";
+    String b = "POLYGON((0.5 0.5, 1.5 0.5, 1.5 1.5, 0.5 1.5, 0.5 0.5))";
+    checkPrepared(a, b);
+  }
+
   
 }
diff --git a/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGTestCase.java b/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGTestCase.java
index 54088ecd49..01a479ebe8 100644
--- a/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGTestCase.java
+++ b/modules/core/src/test/java/org/locationtech/jts/operation/relateng/RelateNGTestCase.java
@@ -83,6 +83,36 @@ protected void checkPredicate(TopologyPredicate pred, String wkta, String wktb,
     assertEquals(expectedValue, actualVal);
   }
   
+  void checkPrepared(String wkta, String wktb)
+  {
+    Geometry a = read(wkta);
+    Geometry b = read(wktb);
+    RelateNG prep_a = RelateNG.prepare(a);
+   
+    assertEquals("equalsTopo", prep_a.evaluate(b, RelatePredicate.equalsTopo()), 
+                            RelateNG.relate(a, b, RelatePredicate.equalsTopo()));
+  
+    assertEquals("intersects", prep_a.evaluate(b, RelatePredicate.intersects()), 
+        RelateNG.relate(a, b, RelatePredicate.intersects()));
+    assertEquals("disjoint",   prep_a.evaluate(b, RelatePredicate.disjoint()), 
+        RelateNG.relate(a, b, RelatePredicate.disjoint()));
+    assertEquals("covers",     prep_a.evaluate(b, RelatePredicate.covers()), 
+        RelateNG.relate(a, b, RelatePredicate.covers()));
+    assertEquals("coveredBy",  prep_a.evaluate(b, RelatePredicate.coveredBy()), 
+        RelateNG.relate(a, b, RelatePredicate.coveredBy()));
+    assertEquals("within",     prep_a.evaluate(b, RelatePredicate.within()), 
+        RelateNG.relate(a, b, RelatePredicate.within()));
+    assertEquals("contains",   prep_a.evaluate(b, RelatePredicate.contains()), 
+        RelateNG.relate(a, b, RelatePredicate.contains()));
+    assertEquals("crosses",    prep_a.evaluate(b, RelatePredicate.crosses()), 
+        RelateNG.relate(a, b, RelatePredicate.crosses()));
+    assertEquals("touches",    prep_a.evaluate(b, RelatePredicate.touches()), 
+        RelateNG.relate(a, b, RelatePredicate.touches()));
+    
+    assertEquals("relate",     prep_a.evaluate(b).toString(), 
+                            RelateNG.relate(a, b).toString());
+  }
+  
   TopologyPredicate trace(TopologyPredicate pred) {
     if (! isTrace)
       return pred;