diff --git a/ui/src/components/rects/rectangles.ts b/ui/src/components/rects/rectangles.ts
index 3319604..5dfb8d7 100644
--- a/ui/src/components/rects/rectangles.ts
+++ b/ui/src/components/rects/rectangles.ts
@@ -18,6 +18,11 @@ export class Vector2D {
   public scale(other: number): Vector2D {
     return new Vector2D(this.x * other, this.y * other);
   }
+
+  public equals(other: Vector2D): boolean {
+    return this.x === other.x &&
+      this.y === other.y;
+  }
 }
 
 export class Rectangle {
@@ -71,6 +76,11 @@ export class Rectangle {
     return this.width * this.height;
   }
 
+  public equals(other: Rectangle): boolean {
+    return this.origin.equals(other.origin) &&
+      this.corner.equals(other.corner);
+  }
+
   public contains(point: Vector2D): boolean {
     return point.x >= this.origin.x &&
       point.y >= this.origin.y &&
diff --git a/ui/tests/unit/rectangle.spec.ts b/ui/tests/unit/rectangle.spec.ts
index ddde4d9..abee785 100644
--- a/ui/tests/unit/rectangle.spec.ts
+++ b/ui/tests/unit/rectangle.spec.ts
@@ -32,6 +32,11 @@ describe("Vector2D Tests", () => {
     expect(v2.x).to.equal(3);
     expect(v2.y).to.equal(6);
   });
+
+  it("should compare vectors", () => {
+    expect(v.equals(v.scale(1))).to.be.true;
+    expect(v.equals(v.scale(2))).to.be.false;
+  })
 });
 
 describe("Rectangle Tests", () => {
@@ -71,11 +76,16 @@ describe("Rectangle Tests", () => {
     check_rectangle(r2, 1, 2, 3, 4);
   });
 
+  it("should compare rectangles", () => {
+    expect(r1.equals(r2)).to.be.true;
+    expect(r1.equals(new Rectangle())).to.be.false;
+  })
+
   it("should create the same rectangle transposed", () => {
     const v1t = new Vector2D(v1.x, v2.y);
     const v2t = new Vector2D(v2.x, v1.y);
 
-    check_rectangle(new Rectangle(v1t, v2t), 1, 2, 3, 4);
+    expect(r1.equals(new Rectangle(v1t, v2t))).to.be.true;
   });
 
   it("should contain itself", () => {