Angle Relationships Instruction/ Assignment Questions and Answers

Angle Relationships Instruction/ Assignment Questions and Answers Which statements are true regarding the diagram for circle P and the angles created? Check all that apply -∠DEC is a circumscribed angle -∠BCA is an inscribed angle. -∠APB is a central angle. -PB ≅ PA The measure of arc AB is ___ The measure of angle AOB is_______ The measure of angle BDA is ______ 1. 50 2. 50 3. 25 Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:00 / 0:15 Full screen Brainpower Read More Which statements are true regarding the relationships between central, inscribed, and circumscribed angles of a circle? Check all that apply. -A circumscribed angle is created by two intersecting tangent segments. -The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc. -The measure of a central angle will be equal to the measure of an inscribed angle when the arc intercepted by the inscribed angle is twice as large as the arc intercepted by the central angle. The measure of arc LM is _____ The measure of angle MBL is ______ The measure of angle MNL is _______ 1. 116 2. 58 3. 64 Central angle AOB and inscribed angle ACB intercept the same arc. Concave polygon AOBC is formed. The sides of central angles will _______ be congruent. The sides of inscribed angles will _______ be congruent. - always -sometimes What is the perimeter of kite ACBO? 62 units Which statements are true? Check all that apply. 1. m = 120° 2. m∠COB = 2(m∠CAB) 3. m∠COB = 120° Use the diagram to complete the statements. The measure of angle EJB is ________ the measure of angle BOE. The measure of angle BDE is _______ the measure of angle BOE. The measure of angle OED is ______ the measure of angle OBD. 1. one-half 2. 180 minus 3. equal to The measure of central angle LOP is _______ The length of LP is ______ units The length of MP is _______ units 1. 180 2. 17 3. 15 What is the measure of angle WZY? 71° The measure of minor arc EF is ______ The measure of angle DAB is _______ 1. 109 2. 54.5 Which statements are true? Check all that apply -The circumscribed angle L has a measure of 49° -If the measure of arc HJ is 98°, the measure of angle HMJ is 98°. -If the measure of arc HJ is 98°, the measure of arc HK is 131°. What is the measure of angle OAC if major arc AB measures 220 degrees? 55° We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because ___________ We also know that AC ≅ BC since _______ Using the reflexive property, we see that ________ Therefore, we conclude that △ACO is congruent to △BCO by the _________ 1. all radii of the same circle are congruent 2. tangents to a circle that intersect are congruent 3. side CO is congruent to side CO 4. SSS congruency theorem What is the perimeter of kite OBDE? 38 units What is the measure of circumscribed ∠X? 90 What is the length of chord ML? 24 units Points E, F, and D are on circle C, and angle G measures 60°. The measure of arc EF equals the measure of arc FD. Which statements about the arcs and angles are true? Select three options. -∠EFD ≅ ∠EGD -ED=FD -m = 120°