# Secants and Chords Intersecting inside a Circle

- Author:
- Lydia Kenney, mrguindon

Move points C, D, and E and record how the measures of arcs EF and BD and angle ECF change.

BE and DA are secants that intersect INSIDE the circle at point C.

**Find the sum of the measures of Arc AB and Arc DE.**__Step 1:__*Question 1:*What is the relationship between the sum of the two intercepted arcs and the measure of Angle C?**Move points C, D, and E around.**__Step 2:__*Question 2:*Does the relationship still hold after moving the points?*Question 3:*Is it possible to have two tangents that intersect inside the circle? Why or why not?*Question 4:*Copy this question in your notes and fill in the blank: If two secants or chords intersect inside the circle, then the measure of an angle formed is _________ the __________ of the intercepted arcs.