Subjects geometry

Circle Intersection 3Dd671

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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
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