In this activity students will make concept connections numerically, graphically and analytically concerning the relationship between tangent and normal lines to a curve and its inverse. Students examine the necessary condition for these lines to intersect to form a deltoid, a non-convex quadrilateral which has two pairs of adjacent equal sides.
Before the Activity
Content knowledge of the algebraic and geometric properties of finding tangent and normal lines at symmetry points on a differentiable function and its inverse
Calculator background in graphing tangents and normal lines to a curve
During the Activity
Download the TNS file and make it available to students.