10-5 Guide and Intervention (continued) Tangents Circumscribed Polygons When a polygon is circumscribed a circle, all of the sides of the polygon are tangent to the circle. Hexagon is circumscribed Square is circumscribed about ABCDEF GHJK ⨀P. ⨀Q. , , , , , and are tangent to , , , and are tangent to ⨀P. ⨀Q. Example: is circumscribed Find the perimeter of is circumscribed about so points and are points of tangency. D, E, F △ABC ⨀O, Therefore = = and = AD AF, BE BD, CF CE. = + + + + + P AD AF BE BD CF CE = 12 + 12 + 6 + 6 + 8 + 8 = 52 The perimeter is 52 Exercises For each figure, find Then find the perimeter. x. 1. 2. 3. 4. 5. 6.
10-5 Guide and Intervention (continued) Tangents Circumscribed Polygons When a polygon is circumscribed a circle, all of the sides of the polygon are tangent to the circle. Hexagon ABCDEF is circumscribed ⨀P. , , , , , and are tangent to ⨀P. Square GHJK is circumscribed about ⨀Q. , , , and are tangent to ⨀Q. Example: is circumscribed Find the perimeter of △ABC is circumscribed about ⨀O, so points D, E, and F are points of tangency. Therefore AD = AF, BE = BD, and CF = CE. P = AD + AF + BE + BD + CF + CE = 12 + 12 + 6 + 6 + 8 + 8 = 52 The perimeter is 52 Exercises For each figure, find x. Then find the perimeter. 1. 2. 3. 4. 5. 6.
Notes%20Tangents.docx