[b]Ellipse Drag Test – Project Description[/b][br]In this activity, you will explore the geometric properties of an ellipse using an interactive construction:[list=1][*]Foci Points: Two points, F1 and F2, represent the foci of the ellipse.[br][/*][*]Ellipse Definition: The ellipse is drawn such that the sum of the distances from any point on the ellipse to the two foci is constant ([code]2a[/code]).[br][/*][*]Draggable Point (P): You can drag the red point [code]P[/code] anywhere on the plane.[br][/*][*]Drag Test Feedback:[list][*]If [code]P[/code] satisfies the ellipse condition (sum of distances ≈ 2a), the text shows: “✅ On Ellipse”.[br][/*][*]If not, it shows: “❌ Not on Ellipse”.[br][/*][*]You can also see the numerical values of [code]d1 + d2[/code] and [code]2a[/code] to understand why [code]P[/code] is on or off the ellipse.[br][/*][/list][/*][*]Experiment: Move [code]P[/code] around the ellipse to see the property in action. Try points inside and outside the ellipse to test your understanding.[br][/*][/list]