PROPERTIES OF CIRCLES

Step 1:Guided Inve.tlgatlon 7.2TANGENTS TO A CIRCLETake one of your parry papers with a circledrawn on it and draw or fold a line thatappears to be a tangent to your circle. (Ifnecessary, make two small, pinched creasesto mark the center of your circle.),oStep 2: Fold a line that passes through the centerof your circle and the point of tangency.Step 3: Place the corner of another parry paper at theangle formed between the radius (or diameter)and the tangent. What do you observe?Step 4: Draw another tangent to the same circle and repeat steps 1 and 2.Compare your results with the results of others near you. Your next parry paper conjecture could be:~ A tangent to a circle is _____ _ _ __ to the radius (or diameter) drawn to the~ 45 point of tangency.In this investigation you eyeballed a tangent to the circle. You can use this conjecture to fold a tangentto a circle at a given point.Step 5: Take another patry paper with a circle on it.Fold a diameter and mark a point where thediameter intersects the circle.Step 6: Fold a line perpendicular to the diameter throughthe point where the diameter intersects the circle.This line should be tangent to the circle.,(]",, ' ,, , , ,,,PROPERTIES OF CIRClfS I 07