1. **State the problem:** We have two circles, one larger and one smaller inside it, touching at exactly one point labeled C.
2. **Identify key properties:**
- The circles touch at exactly one point, so they are tangent.
- They have different centers (not concentric).
- The smaller circle is inside the larger, so they are not congruent.
3. **Analyze the options:**
- "one point of intersection": True, since they touch at exactly one point.
- "similar": All circles are similar by definition, so True.
- "zero points of intersection": False, they intersect at one point.
- "concentric circles": False, centers differ.
- "congruent": False, different sizes.
- "two points of intersection": False, only one point.
**Final true statements:**
- one point of intersection
- similar
Circle Intersection 3Dd671
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