Ex 7: In the diagram below, and are two parallel chords of If 6, =12 and the distance between O. AB = CD these chords is 3, what is the exact value of the radius of O? Name _____________________________________________________________________ Hour _________ Honors Geometry Lesson 10-4: Use Inscribed Angles and Polygons Learning Target: By the end of today’s lesson we will be able to successfully use inscribed angles of circles. Vocabulary Definition Illustrations An inscribed angle is an angle whose Inscribed angle ____________ is on a circle and whose sides contain ________ of the circle. The arc that lies in the interior of an Intercepted arc _______________ angle and has _______________ on the angle is called the intercepted arc of the angle. A polygon is an inscribed polygon if Inscribed polygon all of its ______________ lie on a circle. A circumscribed circle is a circle that Circumscribed circle contains the vertices of an ______________ polygon. Theorem 10.7: Measure of an Inscribed Angle Theorem The measure of an inscribed angle is one half the measure of its_____________________ _______. = ½ ___________ mADB • Ex 1: Find the indicated measure in P. a.) b.) measure of arc mS RQ. Ex 2: Find the indicated measure. a.) b.) c.) x
Ex 7: In the diagram below, and are two parallel chords of O. If AB = 6, CD =12 and the distance between these chords is 3, what is the exact value of the radius of O? Name _____________________________________________________________________ Hour _________ Honors Geometry Lesson 10-4: Use Inscribed Angles and Polygons Learning Target: By the end of today’s lesson we will be able to successfully use inscribed angles of circles. Vocabulary Definition Illustrations Inscribed angle An inscribed angle is an angle whose ____________ is on a circle and whose sides contain ________ of the circle. Intercepted arc The arc that lies in the interior of an _______________ angle and has _______________ on the angle is called the intercepted arc of the angle. Inscribed polygon A polygon is an inscribed polygon if all of its ______________ lie on a circle. Circumscribed circle A circumscribed circle is a circle that contains the vertices of an ______________ polygon. Theorem 10.7: Measure of an Inscribed Angle Theorem The measure of an inscribed angle is one half the measure of its_____________________ _______. mADB = ½ • ___________ Ex 1: Find the indicated measure in P. a.) mS b.) measure of arc RQ. Ex 2: Find the indicated measure. a.) b.) c.) x
bi_honors_geo_10.docx