diff --git a/src/extras/core/CurvePath.js b/src/extras/core/CurvePath.js
index 20590f77c9db95..bc05ccc616ff79 100644
--- a/src/extras/core/CurvePath.js
+++ b/src/extras/core/CurvePath.js
@@ -33,7 +33,8 @@ class CurvePath extends Curve {
 
 		if ( ! startPoint.equals( endPoint ) ) {
 
-			this.curves.push( new Curves[ 'LineCurve' ]( endPoint, startPoint ) );
+			const lineType = ( startPoint.isVector2 === true ) ? 'LineCurve' : 'LineCurve3';
+			this.curves.push( new Curves[ lineType ]( endPoint, startPoint ) );
 
 		}