Observe how the length of a chord relates to the measure of its arc.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Based on your observations, is it possible for two congruent chords to intercept minor arcs of different sizes?
Based on your observations, is it possible for two congruent minor arcs to intercept chords of different sizes?
As you make a chord longer, does the minor arc length increase or decrease?
The interactive above shows the case of a minor arc subtended by a chord. Think about what would happen if the major arcs were considered instead. Would your answers to the previous questions change? Please justify your answer for each case.