9.3 Arcs and Angles 3

Investigation 3: Arcs by Parallel Lines Now you’ll discover a relationship between arcs formed when parallel lines intersect a circle.

Investigate[br]1. Select each arc and measure its arc angle. Drag point C and observe[br]the arcs and their measurements. Make a conjecture about the arcs[br]intercepted by parallel lines (Parallel Lines Intercepted Arcs Conjecture).

Parallel Lines Intercepted Arcs ConjectureParallel lines intercept ___________ arcs on a circle

congruent complementary supplementary

[img width=190,height=208]https://lh4.googleusercontent.com/u0Q_nOdvo6xl8W3o2JERSCulvOIBXHc_HaUTgBKljFNDnjyFe4HPghHInjaPVSAZ98r1MlMVXmG3vhjvy6bER_Cr42r00eIN3nYtWJ15vqCLBptK8SfiAxP6dECdhNoTYUooXZ_X[/img]

[math]41^\circ[/math] [math]158^\circ[/math] [math]82^\circ[/math]

[img width=188,height=152]https://lh3.googleusercontent.com/y_EvDMFUM-DAtFIa9FHAJe8bp8A3r3D-Ucx7kOoFImiH_FUpaxTZMTz2ga8t_BHkm-lwIwOD6K_HTnABSc9PmRla0OuiToSzw2QwSBBKj9GQF06_xNKoaUVsM-6Wzcis0fscvv8g[/img]

[math]198^\circ[/math] [math]113^\circ[/math] [math]85^\circ[/math]

9.3 Arcs and Angles 3

Investigation 3: Arcs by Parallel Lines Now you’ll discover a relationship between arcs formed when parallel lines intersect a circle.

Information: 9.3 Arcs and Angles 3