Radius drawn to a tangent

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Presentation transcript:

Radius drawn to a tangent forms a right angle. © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Activities from Patty Paper® Geometry by Michael Serra

Draw a circle with the Solo cup. Steps: Draw a circle with the Solo cup. Use your straightedge to draw a line that appears to be tangent to your circle. Fold to find the center. Draw a line between the center and the point of tangency. © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Activities from Patty Paper® Geometry by Michael Serra

Steps: Place the corner of another piece of patty paper at the angle formed between the diameter and the tangent. What do you know? © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Activities from Patty Paper® Geometry by Michael Serra

same external point are ≅. Two tangents from the same external point are ≅. © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Activities from Patty Paper® Geometry by Michael Serra

Draw a circle with the Solo cup. Make a point outside of the circle. Steps: Draw a circle with the Solo cup. Make a point outside of the circle. Draw 2 tangent lines from the point to the circle. Mark the points of tangency. Fold one tangent onto the other to compare their lengths. What do you know? © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Activities from Patty Paper® Geometry by Michael Serra