Higher Order Thinking Deondra draws points at \( (1,5) \) and \( (1,-1) \) on a coordinate plane. Each point will be a vertex of an isosceles right triangle. What are two possible points in the second quadrant that she can specify as a vertex of her triangle? Explain.

Deondra can create an isosceles right triangle using her two points by placing the third vertex in the second quadrant such that the triangle maintains its symmetry. Since the triangle is isosceles and right-angled, the third vertex must be at a position where it forms equal legs to the base defined by the first two points. For instance, she can choose \( (-3, 5) \) or \( (-3, -1) \) as the third vertex, giving the triangle the required geometry whereby the length of the legs from the base is equal. To visualize this, consider the properties of an isosceles right triangle, which has two sides of equal length and one 90-degree angle. Each potential vertex allows us to form legs parallel to the axes. Using the points Deondra has, the calculated distance from either point \( (1,5) \) or \( (1,-1) \) to point \( (-3, 5) \) or \( (-3, -1) \) will maintain the lengths equal—therefore fulfilling the requirements for creating an isosceles right triangle in the coordinate plane.