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Jillian is trying to construct an isosceles right triangle. She has started by constructing two perpendicular lines, as shown at right. If she wants each leg of the triangle to have length as shown at right, describe how she should finish her construction.

Two perpendicular lines labeled, n, the vertical line, and, m, the horizontal line, intersect at point, P. A vertical line segment, k, is shown at the left.

Where would either end of the hypotenuse end up?

How is point significant to the isosceles triangle?