diff --git a/GPU/Software/TransformUnit.cpp b/GPU/Software/TransformUnit.cpp
index ce026495a7..d0ac3a28a1 100644
--- a/GPU/Software/TransformUnit.cpp
+++ b/GPU/Software/TransformUnit.cpp
@@ -461,6 +461,12 @@ void TransformUnit::SubmitPrimitive(void* vertices, void* indices, GEPrimitiveTy
 	if (gstate_c.skipDrawReason & SKIPDRAW_SKIPFRAME) {
 		return;
 	}
+	// Throughmode never draws 8-bit primitives, maybe because they can't fully specify the screen?
+	if ((vertex_type & GE_VTYPE_THROUGH_MASK) != 0 && (vertex_type & GE_VTYPE_POS_MASK) == GE_VTYPE_POS_8BIT)
+		return;
+	// Vertices without position are just entirely culled.
+	if ((vertex_type & GE_VTYPE_POS_MASK) == 0)
+		return;
 
 	u16 index_lower_bound = 0;
 	u16 index_upper_bound = vertex_count - 1;
diff --git a/test.py b/test.py
index 502b91bff6..01eeeb17d7 100755
--- a/test.py
+++ b/test.py
@@ -148,6 +148,7 @@ tests_good = [
   "gpu/ge/enqueueparam",
   "gpu/ge/queue",
   "gpu/primitives/indices",
+  "gpu/primitives/triangles",
   "gpu/rendertarget/depal",
   "gpu/signals/pause",
   "gpu/signals/pause2",
@@ -393,7 +394,6 @@ tests_next = [
   "gpu/primitives/rectangles",
   "gpu/primitives/spline",
   "gpu/primitives/trianglefan",
-  "gpu/primitives/triangles",
   "gpu/primitives/trianglestrip",
   "gpu/reflection/reflection",
   "gpu/rendertarget/copy",