Warm Up Week 1
Section 10.3 Day 1 I will use inscribed angles to solve problems. Inscribed Angles An angle whose vertex is on a circle and whose sides contain chords. Intercepted Arc Arc that lies in the interior of an inscribed angle.
Measure of an Inscribed Angle If an angle is inscribed in a circle, then its measure is half the measure of the intercepted arc. Theorem 10.8
Ex 1 a. b. c. 180 ° 230 ° 50 °
Ex 2What is the measure of each inscribed angle? Red? Green? Blue? 30 °
Arcs – Multiple Inscribed Angles Theorem 10.9 If two inscribed angles of a circle intercept the same arc, then the angles are congruent.
Ex 3 Find the value of x.
Circles – Inscribed Right Triangles Theorem If a right triangle is inscribed in a circle, then its hypotenuse is a diameter.
Circles – Inscribed Quadrilaterals Theorem A quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary.
Do 1: Assign ment: Handout – 10.3A Due at the end of the hour. Find the value of x.