# Two Intersecting Circles

- Author:
- MathBing

- Topic:
- Angles, Circle, Geometry, Right Triangles, Similar Triangles, Triangles

The two circles intersect at points

**C**and**D**. Points**A**and**B**are placed each on one of the circles such that**A,****B**, and**C**are collinear.**** Moving the red dot will change the positions of points A and B.**1. Do the dimensions of**triangle ABD**(side lengths and angle measures) change when points**A**and**B**change their positions? 2. Where do points**A**and**B**have to be placed for the length of**AB**to be maximum? 3. What is the measure of angle**ACD**when segment**AB**is at its maximum length?## New Resources

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