diff --git a/packages/element/src/binding.ts b/packages/element/src/binding.ts
index 2ea05510b..e6cae2528 100644
--- a/packages/element/src/binding.ts
+++ b/packages/element/src/binding.ts
@@ -27,8 +27,6 @@ import {
   PRECISION,
 } from "@excalidraw/math";
 
-import { isPointOnShape } from "@excalidraw/utils/collision";
-
 import type { LocalPoint, Radians } from "@excalidraw/math";
 
 import type { AppState } from "@excalidraw/excalidraw/types";
@@ -41,7 +39,7 @@ import {
   doBoundsIntersect,
 } from "./bounds";
 import { intersectElementWithLineSegment } from "./collision";
-import { distanceToBindableElement } from "./distance";
+import { distanceToElement } from "./distance";
 import {
   headingForPointFromElement,
   headingIsHorizontal,
@@ -63,7 +61,7 @@ import {
   isTextElement,
 } from "./typeChecks";
 
-import { aabbForElement, getElementShape, pointInsideBounds } from "./shapes";
+import { aabbForElement } from "./shapes";
 import { updateElbowArrowPoints } from "./elbowArrow";
 
 import type { Scene } from "./Scene";
@@ -704,7 +702,7 @@ const calculateFocusAndGap = (
 
   return {
     focus: determineFocusDistance(hoveredElement, adjacentPoint, edgePoint),
-    gap: Math.max(1, distanceToBindableElement(hoveredElement, edgePoint)),
+    gap: Math.max(1, distanceToElement(hoveredElement, edgePoint)),
   };
 };
 
@@ -898,7 +896,7 @@ const getDistanceForBinding = (
   bindableElement: ExcalidrawBindableElement,
   zoom?: AppState["zoom"],
 ) => {
-  const distance = distanceToBindableElement(bindableElement, point);
+  const distance = distanceToElement(bindableElement, point);
   const bindDistance = maxBindingGap(
     bindableElement,
     bindableElement.width,
@@ -1548,14 +1546,22 @@ export const bindingBorderTest = (
   zoom?: AppState["zoom"],
   fullShape?: boolean,
 ): boolean => {
+  const p = pointFrom<GlobalPoint>(x, y);
   const threshold = maxBindingGap(element, element.width, element.height, zoom);
-
-  const shape = getElementShape(element, elementsMap);
-  return (
-    isPointOnShape(pointFrom(x, y), shape, threshold) ||
-    (fullShape === true &&
-      pointInsideBounds(pointFrom(x, y), aabbForElement(element)))
+  const shouldTestInside =
+    // disable fullshape snapping for frame elements so we
+    // can bind to frame children
+    (fullShape || !isBindingFallthroughEnabled(element)) &&
+    !isFrameLikeElement(element);
+  const intersections = intersectElementWithLineSegment(
+    element,
+    lineSegment(elementCenterPoint(element), p),
   );
+  const distance = distanceToElement(element, p);
+
+  return shouldTestInside
+    ? intersections.length === 0 || distance <= threshold
+    : intersections.length > 0 && distance <= threshold;
 };
 
 export const maxBindingGap = (
diff --git a/packages/element/src/collision.ts b/packages/element/src/collision.ts
index 07b17bfde..a48a4c889 100644
--- a/packages/element/src/collision.ts
+++ b/packages/element/src/collision.ts
@@ -16,24 +16,18 @@ import {
 } from "@excalidraw/math/ellipse";
 
 import { isPointInShape, isPointOnShape } from "@excalidraw/utils/collision";
-import { type GeometricShape, getPolygonShape } from "@excalidraw/utils/shape";
 
-import type {
-  GlobalPoint,
-  LineSegment,
-  LocalPoint,
-  Polygon,
-  Radians,
-} from "@excalidraw/math";
+import type { GlobalPoint, LineSegment, Radians } from "@excalidraw/math";
 
 import type { FrameNameBounds } from "@excalidraw/excalidraw/types";
 
-import { getBoundTextShape, isPathALoop } from "./shapes";
+import { isPathALoop } from "./shapes";
 import { getElementBounds } from "./bounds";
 import {
   hasBoundTextElement,
   isIframeLikeElement,
   isImageElement,
+  isLinearElement,
   isTextElement,
 } from "./typeChecks";
 import {
@@ -41,12 +35,15 @@ import {
   deconstructRectanguloidElement,
 } from "./utils";
 
+import { getBoundTextElement } from "./textElement";
+
+import { LinearElementEditor } from "./linearElementEditor";
+
 import type {
   ElementsMap,
   ExcalidrawDiamondElement,
   ExcalidrawElement,
   ExcalidrawEllipseElement,
-  ExcalidrawRectangleElement,
   ExcalidrawRectanguloidElement,
 } from "./types";
 
@@ -72,45 +69,40 @@ export const shouldTestInside = (element: ExcalidrawElement) => {
   return isDraggableFromInside || isImageElement(element);
 };
 
-export type HitTestArgs<Point extends GlobalPoint | LocalPoint> = {
-  x: number;
-  y: number;
+export type HitTestArgs = {
+  point: GlobalPoint;
   element: ExcalidrawElement;
-  shape: GeometricShape<Point>;
   threshold?: number;
   frameNameBound?: FrameNameBounds | null;
 };
 
-export const hitElementItself = <Point extends GlobalPoint | LocalPoint>({
-  x,
-  y,
+export const hitElementItself = ({
+  point,
   element,
-  shape,
   threshold = 10,
   frameNameBound = null,
-}: HitTestArgs<Point>) => {
+}: HitTestArgs) => {
   let hit = shouldTestInside(element)
     ? // Since `inShape` tests STRICTLY againt the insides of a shape
       // we would need `onShape` as well to include the "borders"
-      isPointInShape(pointFrom(x, y), shape) ||
-      isPointOnShape(pointFrom(x, y), shape, threshold)
-    : isPointOnShape(pointFrom(x, y), shape, threshold);
+      isPointInShape(point, element) ||
+      isPointOnShape(point, element, threshold)
+    : isPointOnShape(point, element, threshold);
 
   // hit test against a frame's name
   if (!hit && frameNameBound) {
-    hit = isPointInShape(pointFrom(x, y), {
-      type: "polygon",
-      data: getPolygonShape(frameNameBound as ExcalidrawRectangleElement)
-        .data as Polygon<Point>,
-    });
+    const x1 = frameNameBound.x - threshold;
+    const y1 = frameNameBound.y - threshold;
+    const x2 = frameNameBound.x + frameNameBound.width + threshold;
+    const y2 = frameNameBound.y + frameNameBound.height + threshold;
+    hit = isPointWithinBounds(pointFrom(x1, y1), point, pointFrom(x2, y2));
   }
 
   return hit;
 };
 
 export const hitElementBoundingBox = (
-  x: number,
-  y: number,
+  point: GlobalPoint,
   element: ExcalidrawElement,
   elementsMap: ElementsMap,
   tolerance = 0,
@@ -120,37 +112,45 @@ export const hitElementBoundingBox = (
   y1 -= tolerance;
   x2 += tolerance;
   y2 += tolerance;
-  return isPointWithinBounds(
-    pointFrom(x1, y1),
-    pointFrom(x, y),
-    pointFrom(x2, y2),
-  );
+  return isPointWithinBounds(pointFrom(x1, y1), point, pointFrom(x2, y2));
 };
 
-export const hitElementBoundingBoxOnly = <
-  Point extends GlobalPoint | LocalPoint,
->(
-  hitArgs: HitTestArgs<Point>,
+export const hitElementBoundingBoxOnly = (
+  hitArgs: HitTestArgs,
   elementsMap: ElementsMap,
 ) => {
   return (
     !hitElementItself(hitArgs) &&
     // bound text is considered part of the element (even if it's outside the bounding box)
-    !hitElementBoundText(
-      hitArgs.x,
-      hitArgs.y,
-      getBoundTextShape(hitArgs.element, elementsMap),
-    ) &&
-    hitElementBoundingBox(hitArgs.x, hitArgs.y, hitArgs.element, elementsMap)
+    !hitElementBoundText(hitArgs.point, hitArgs.element, elementsMap) &&
+    hitElementBoundingBox(hitArgs.point, hitArgs.element, elementsMap)
   );
 };
 
-export const hitElementBoundText = <Point extends GlobalPoint | LocalPoint>(
-  x: number,
-  y: number,
-  textShape: GeometricShape<Point> | null,
+export const hitElementBoundText = (
+  point: GlobalPoint,
+  element: ExcalidrawElement,
+  elementsMap: ElementsMap,
 ): boolean => {
-  return !!textShape && isPointInShape(pointFrom(x, y), textShape);
+  const boundTextElementCandidate = getBoundTextElement(element, elementsMap);
+
+  if (!boundTextElementCandidate) {
+    return false;
+  }
+  const boundTextElement = isLinearElement(element)
+    ? {
+        ...boundTextElementCandidate,
+        // arrow's bound text accurate position is not stored in the element's property
+        // but rather calculated and returned from the following static method
+        ...LinearElementEditor.getBoundTextElementPosition(
+          element,
+          boundTextElementCandidate,
+          elementsMap,
+        ),
+      }
+    : boundTextElementCandidate;
+
+  return isPointInShape(point, boundTextElement);
 };
 
 /**
diff --git a/packages/element/src/distance.ts b/packages/element/src/distance.ts
index d261faf7d..88ce640e1 100644
--- a/packages/element/src/distance.ts
+++ b/packages/element/src/distance.ts
@@ -1,6 +1,8 @@
 import {
   curvePointDistance,
   distanceToLineSegment,
+  lineSegment,
+  pointFrom,
   pointRotateRads,
 } from "@excalidraw/math";
 
@@ -16,17 +18,18 @@ import {
 } from "./utils";
 
 import type {
-  ExcalidrawBindableElement,
   ExcalidrawDiamondElement,
+  ExcalidrawElement,
   ExcalidrawEllipseElement,
   ExcalidrawRectanguloidElement,
 } from "./types";
 
-export const distanceToBindableElement = (
-  element: ExcalidrawBindableElement,
+export const distanceToElement = (
+  element: ExcalidrawElement,
   p: GlobalPoint,
 ): number => {
   switch (element.type) {
+    case "selection":
     case "rectangle":
     case "image":
     case "text":
@@ -39,6 +42,23 @@ export const distanceToBindableElement = (
       return distanceToDiamondElement(element, p);
     case "ellipse":
       return distanceToEllipseElement(element, p);
+    case "line":
+    case "arrow":
+    case "freedraw":
+      return element.points.reduce((acc, point, idx) => {
+        if (idx === 0) {
+          return acc;
+        }
+        const prevPoint = element.points[idx - 1];
+        const segment = lineSegment(
+          pointFrom<GlobalPoint>(
+            element.x + prevPoint[0],
+            element.y + prevPoint[1],
+          ),
+          pointFrom<GlobalPoint>(element.x + point[0], element.y + point[1]),
+        );
+        return Math.min(acc, distanceToLineSegment(p, segment));
+      }, Infinity);
   }
 };
 
diff --git a/packages/element/src/elbowArrow.ts b/packages/element/src/elbowArrow.ts
index 95a2aa8ef..990f4e570 100644
--- a/packages/element/src/elbowArrow.ts
+++ b/packages/element/src/elbowArrow.ts
@@ -32,7 +32,7 @@ import {
   snapToMid,
   getHoveredElementForBinding,
 } from "./binding";
-import { distanceToBindableElement } from "./distance";
+import { distanceToElement } from "./distance";
 import {
   compareHeading,
   flipHeading,
@@ -2234,8 +2234,7 @@ const getGlobalPoint = (
 
     // NOTE: Resize scales the binding position point too, so we need to update it
     return Math.abs(
-      distanceToBindableElement(element, fixedGlobalPoint) -
-        FIXED_BINDING_DISTANCE,
+      distanceToElement(element, fixedGlobalPoint) - FIXED_BINDING_DISTANCE,
     ) > 0.01
       ? bindPointToSnapToElementOutline(arrow, element, startOrEnd)
       : fixedGlobalPoint;
@@ -2257,7 +2256,7 @@ const getBindPointHeading = (
     hoveredElement &&
       aabbForElement(
         hoveredElement,
-        Array(4).fill(distanceToBindableElement(hoveredElement, p)) as [
+        Array(4).fill(distanceToElement(hoveredElement, p)) as [
           number,
           number,
           number,
diff --git a/packages/element/src/types.ts b/packages/element/src/types.ts
index d7a105900..6e0dfb0ff 100644
--- a/packages/element/src/types.ts
+++ b/packages/element/src/types.ts
@@ -195,7 +195,8 @@ export type ExcalidrawRectanguloidElement =
   | ExcalidrawFreeDrawElement
   | ExcalidrawIframeLikeElement
   | ExcalidrawFrameLikeElement
-  | ExcalidrawEmbeddableElement;
+  | ExcalidrawEmbeddableElement
+  | ExcalidrawSelectionElement;
 
 /**
  * ExcalidrawElement should be JSON serializable and (eventually) contain
diff --git a/packages/excalidraw/components/App.tsx b/packages/excalidraw/components/App.tsx
index b0c43359b..b8fc4cb65 100644
--- a/packages/excalidraw/components/App.tsx
+++ b/packages/excalidraw/components/App.tsx
@@ -18,7 +18,6 @@ import {
   vectorNormalize,
 } from "@excalidraw/math";
 import { isPointInShape } from "@excalidraw/utils/collision";
-import { getSelectionBoxShape } from "@excalidraw/utils/shape";
 
 import {
   COLOR_PALETTE,
@@ -170,12 +169,7 @@ import {
   isInvisiblySmallElement,
 } from "@excalidraw/element";
 
-import {
-  getBoundTextShape,
-  getCornerRadius,
-  getElementShape,
-  isPathALoop,
-} from "@excalidraw/element";
+import { getCornerRadius, isPathALoop } from "@excalidraw/element";
 
 import {
   createSrcDoc,
@@ -5141,13 +5135,8 @@ class App extends React.Component<AppProps, AppState> {
       // If we're hitting element with highest z-index only on its bounding box
       // while also hitting other element figure, the latter should be considered.
       return hitElementItself({
-        x,
-        y,
+        point: pointFrom(x, y),
         element: elementWithHighestZIndex,
-        shape: getElementShape(
-          elementWithHighestZIndex,
-          this.scene.getNonDeletedElementsMap(),
-        ),
         // when overlapping, we would like to be more precise
         // this also avoids the need to update past tests
         threshold: this.getElementHitThreshold() / 2,
@@ -5229,34 +5218,26 @@ class App extends React.Component<AppProps, AppState> {
       this.state.selectedElementIds[element.id] &&
       shouldShowBoundingBox([element], this.state)
     ) {
-      const selectionShape = getSelectionBoxShape(
-        element,
-        this.scene.getNonDeletedElementsMap(),
-        isImageElement(element) ? 0 : this.getElementHitThreshold(),
-      );
-
       // if hitting the bounding box, return early
       // but if not, we should check for other cases as well (e.g. frame name)
-      if (isPointInShape(pointFrom(x, y), selectionShape)) {
+      if (isPointInShape(pointFrom(x, y), element)) {
         return true;
       }
     }
 
     // take bound text element into consideration for hit collision as well
     const hitBoundTextOfElement = hitElementBoundText(
-      x,
-      y,
-      getBoundTextShape(element, this.scene.getNonDeletedElementsMap()),
+      pointFrom(x, y),
+      element,
+      this.scene.getNonDeletedElementsMap(),
     );
     if (hitBoundTextOfElement) {
       return true;
     }
 
     return hitElementItself({
-      x,
-      y,
+      point: pointFrom(x, y),
       element,
-      shape: getElementShape(element, this.scene.getNonDeletedElementsMap()),
       threshold: this.getElementHitThreshold(),
       frameNameBound: isFrameLikeElement(element)
         ? this.frameNameBoundsCache.get(element)
@@ -5285,13 +5266,8 @@ class App extends React.Component<AppProps, AppState> {
       if (
         isArrowElement(elements[index]) &&
         hitElementItself({
-          x,
-          y,
+          point: pointFrom(x, y),
           element: elements[index],
-          shape: getElementShape(
-            elements[index],
-            this.scene.getNonDeletedElementsMap(),
-          ),
           threshold: this.getElementHitThreshold(),
         })
       ) {
@@ -5637,13 +5613,8 @@ class App extends React.Component<AppProps, AppState> {
           hasBoundTextElement(container) ||
           !isTransparent(container.backgroundColor) ||
           hitElementItself({
-            x: sceneX,
-            y: sceneY,
+            point: pointFrom(sceneX, sceneY),
             element: container,
-            shape: getElementShape(
-              container,
-              this.scene.getNonDeletedElementsMap(),
-            ),
             threshold: this.getElementHitThreshold(),
           })
         ) {
@@ -6316,13 +6287,8 @@ class App extends React.Component<AppProps, AppState> {
       let segmentMidPointHoveredCoords = null;
       if (
         hitElementItself({
-          x: scenePointerX,
-          y: scenePointerY,
+          point: pointFrom(scenePointerX, scenePointerY),
           element,
-          shape: getElementShape(
-            element,
-            this.scene.getNonDeletedElementsMap(),
-          ),
         })
       ) {
         hoverPointIndex = LinearElementEditor.getPointIndexUnderCursor(
@@ -9696,13 +9662,11 @@ class App extends React.Component<AppProps, AppState> {
         ((hitElement &&
           hitElementBoundingBoxOnly(
             {
-              x: pointerDownState.origin.x,
-              y: pointerDownState.origin.y,
-              element: hitElement,
-              shape: getElementShape(
-                hitElement,
-                this.scene.getNonDeletedElementsMap(),
+              point: pointFrom(
+                pointerDownState.origin.x,
+                pointerDownState.origin.y,
               ),
+              element: hitElement,
               threshold: this.getElementHitThreshold(),
               frameNameBound: isFrameLikeElement(hitElement)
                 ? this.frameNameBoundsCache.get(hitElement)
diff --git a/packages/excalidraw/components/hyperlink/Hyperlink.tsx b/packages/excalidraw/components/hyperlink/Hyperlink.tsx
index 292659bdb..5e380e4e6 100644
--- a/packages/excalidraw/components/hyperlink/Hyperlink.tsx
+++ b/packages/excalidraw/components/hyperlink/Hyperlink.tsx
@@ -463,7 +463,7 @@ const shouldHideLinkPopup = (
 
   const threshold = 15 / appState.zoom.value;
   // hitbox to prevent hiding when hovered in element bounding box
-  if (hitElementBoundingBox(sceneX, sceneY, element, elementsMap)) {
+  if (hitElementBoundingBox(pointFrom(sceneX, sceneY), element, elementsMap)) {
     return false;
   }
   const [x1, y1, x2] = getElementAbsoluteCoords(element, elementsMap);
diff --git a/packages/excalidraw/components/hyperlink/helpers.ts b/packages/excalidraw/components/hyperlink/helpers.ts
index 7d39b7ff7..e89ecdc55 100644
--- a/packages/excalidraw/components/hyperlink/helpers.ts
+++ b/packages/excalidraw/components/hyperlink/helpers.ts
@@ -92,7 +92,7 @@ export const isPointHittingLink = (
   if (
     !isMobile &&
     appState.viewModeEnabled &&
-    hitElementBoundingBox(x, y, element, elementsMap)
+    hitElementBoundingBox(pointFrom(x, y), element, elementsMap)
   ) {
     return true;
   }
diff --git a/packages/excalidraw/eraser/index.ts b/packages/excalidraw/eraser/index.ts
index 5e6c4e517..7b822f0a9 100644
--- a/packages/excalidraw/eraser/index.ts
+++ b/packages/excalidraw/eraser/index.ts
@@ -8,7 +8,6 @@ import {
 
 import { getElementsInGroup } from "@excalidraw/element";
 
-import { getElementShape } from "@excalidraw/element";
 import { shouldTestInside } from "@excalidraw/element";
 import { isPointInShape } from "@excalidraw/utils/collision";
 import { hasBoundTextElement, isBoundToContainer } from "@excalidraw/element";
@@ -208,15 +207,8 @@ const eraserTest = (
   elementsMap: ElementsMap,
   app: App,
 ): boolean => {
-  let shape = shapesCache.get(element.id);
-
-  if (!shape) {
-    shape = getElementShape<GlobalPoint>(element, elementsMap);
-    shapesCache.set(element.id, shape);
-  }
-
   const lastPoint = pathSegments[pathSegments.length - 1][1];
-  if (shouldTestInside(element) && isPointInShape(lastPoint, shape)) {
+  if (shouldTestInside(element) && isPointInShape(lastPoint, element)) {
     return true;
   }
 
diff --git a/packages/excalidraw/renderer/interactiveScene.ts b/packages/excalidraw/renderer/interactiveScene.ts
index 991f8c3f8..0867318c8 100644
--- a/packages/excalidraw/renderer/interactiveScene.ts
+++ b/packages/excalidraw/renderer/interactiveScene.ts
@@ -187,16 +187,10 @@ const renderBindingHighlightForBindableElement = (
   elementsMap: ElementsMap,
   zoom: InteractiveCanvasAppState["zoom"],
 ) => {
-  const [x1, y1, x2, y2] = getElementAbsoluteCoords(element, elementsMap);
-  const width = x2 - x1;
-  const height = y2 - y1;
-
-  context.strokeStyle = "rgba(0,0,0,.05)";
-  context.fillStyle = "rgba(0,0,0,.05)";
-
-  // To ensure the binding highlight doesn't overlap the element itself
   const padding = maxBindingGap(element, element.width, element.height, zoom);
 
+  context.fillStyle = "rgba(0,0,0,.05)";
+
   switch (element.type) {
     case "rectangle":
     case "text":
@@ -211,9 +205,12 @@ const renderBindingHighlightForBindableElement = (
       drawHighlightForDiamondWithRotation(context, padding, element);
       break;
     case "ellipse":
-      context.lineWidth =
-        maxBindingGap(element, element.width, element.height, zoom) -
-        FIXED_BINDING_DISTANCE;
+      const [x1, y1, x2, y2] = getElementAbsoluteCoords(element, elementsMap);
+      const width = x2 - x1;
+      const height = y2 - y1;
+
+      context.strokeStyle = "rgba(0,0,0,.05)";
+      context.lineWidth = padding - FIXED_BINDING_DISTANCE;
 
       strokeEllipseWithRotation(
         context,
diff --git a/packages/utils/src/collision.ts b/packages/utils/src/collision.ts
index b7c155f66..0ffd1b1ec 100644
--- a/packages/utils/src/collision.ts
+++ b/packages/utils/src/collision.ts
@@ -3,69 +3,45 @@ import {
   pointFrom,
   polygonIncludesPoint,
   pointOnLineSegment,
-  pointOnPolygon,
-  polygonFromPoints,
   type GlobalPoint,
   type LocalPoint,
   type Polygon,
 } from "@excalidraw/math";
 
+import { intersectElementWithLineSegment } from "@excalidraw/element/collision";
+
+import { elementCenterPoint } from "@excalidraw/common";
+
+import { distanceToElement } from "@excalidraw/element/distance";
+
+import type { ExcalidrawElement } from "@excalidraw/element/types";
+
 import type { Curve } from "@excalidraw/math";
 
-import { pointInEllipse, pointOnEllipse } from "./shape";
-
-import type { Polycurve, Polyline, GeometricShape } from "./shape";
+import type { Polyline } from "./shape";
 
 // check if the given point is considered on the given shape's border
-export const isPointOnShape = <Point extends GlobalPoint | LocalPoint>(
-  point: Point,
-  shape: GeometricShape<Point>,
-  tolerance = 0,
+export const isPointOnShape = (
+  point: GlobalPoint,
+  element: ExcalidrawElement,
+  tolerance = 1,
 ) => {
-  // get the distance from the given point to the given element
-  // check if the distance is within the given epsilon range
-  switch (shape.type) {
-    case "polygon":
-      return pointOnPolygon(point, shape.data, tolerance);
-    case "ellipse":
-      return pointOnEllipse(point, shape.data, tolerance);
-    case "line":
-      return pointOnLineSegment(point, shape.data, tolerance);
-    case "polyline":
-      return pointOnPolyline(point, shape.data, tolerance);
-    case "curve":
-      return pointOnCurve(point, shape.data, tolerance);
-    case "polycurve":
-      return pointOnPolycurve(point, shape.data, tolerance);
-    default:
-      throw Error(`shape ${shape} is not implemented`);
-  }
+  const distance = distanceToElement(element, point);
+
+  return distance <= tolerance;
 };
 
 // check if the given point is considered inside the element's border
-export const isPointInShape = <Point extends GlobalPoint | LocalPoint>(
-  point: Point,
-  shape: GeometricShape<Point>,
+export const isPointInShape = (
+  point: GlobalPoint,
+  element: ExcalidrawElement,
 ) => {
-  switch (shape.type) {
-    case "polygon":
-      return polygonIncludesPoint(point, shape.data);
-    case "line":
-      return false;
-    case "curve":
-      return false;
-    case "ellipse":
-      return pointInEllipse(point, shape.data);
-    case "polyline": {
-      const polygon = polygonFromPoints(shape.data.flat());
-      return polygonIncludesPoint(point, polygon);
-    }
-    case "polycurve": {
-      return false;
-    }
-    default:
-      throw Error(`shape ${shape} is not implemented`);
-  }
+  const intersections = intersectElementWithLineSegment(
+    element,
+    lineSegment(elementCenterPoint(element), point),
+  );
+
+  return intersections.length === 0;
 };
 
 // check if the given element is in the given bounds
@@ -76,14 +52,6 @@ export const isPointInBounds = <Point extends GlobalPoint | LocalPoint>(
   return polygonIncludesPoint(point, bounds);
 };
 
-const pointOnPolycurve = <Point extends LocalPoint | GlobalPoint>(
-  point: Point,
-  polycurve: Polycurve<Point>,
-  tolerance: number,
-) => {
-  return polycurve.some((curve) => pointOnCurve(point, curve, tolerance));
-};
-
 const cubicBezierEquation = <Point extends LocalPoint | GlobalPoint>(
   curve: Curve<Point>,
 ) => {