Identify circle elements in geometry worksheet.

Let's solve each problem step by step. For each circle, we need to identify:

- Circle: The name of the circle (usually named by its center).
- Radius: A segment from the center to any point on the circle.
- Diameter: A segment that passes through the center and connects two points on the circle (twice the radius).

We’ll go through each one.

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1)

- Circle: Center is K, so the circle is Circle K.
- Radius: Segment from center K to a point on the circle — e.g., KL or KN or KM.
- So, KL is a radius.
- Diameter: A line passing through the center with endpoints on the circle. Here, MN passes through K, so MN is the diameter.

✔ Answer:
- Circle: K
- Radius: KL (or KN, KM)
- Diameter: MN

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2)

- Circle: Center is R, so Circle R.
- Radius: From R to any point on the circle — e.g., RS or RT or RU.
- So, RS is a radius.
- Diameter: A line through center connecting two points — TU passes through R, so TU is the diameter.

✔ Answer:
- Circle: R
- Radius: RS (or RT, RU)
- Diameter: TU

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3)

- Circle: Center is A, so Circle A.
- Radius: From A to any point — e.g., AB or AC.
- So, AB is a radius.
- Diameter: A line through center with endpoints on circle — CD passes through A, so CD is the diameter.

✔ Answer:
- Circle: A
- Radius: AB (or AC)
- Diameter: CD

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4)

- Circle: Center is B, so Circle B.
- Radius: From B to any point — e.g., BC or BD or BE.
- So, BC is a radius.
- Diameter: A line through center with endpoints on circle — DE passes through B, so DE is the diameter.

✔ Answer:
- Circle: B
- Radius: BC (or BD, BE)
- Diameter: DE

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5)

- Circle: Center is E, so Circle E.
- Radius: From E to any point — e.g., EF, EG, or EH.
- So, EF is a radius.
- Diameter: A line through center with endpoints — FH passes through E, so FH is the diameter.

✔ Answer:
- Circle: E
- Radius: EF (or EG, EH)
- Diameter: FH

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6)

- Circle: Center is C, so Circle C.
- Radius: From C to any point — e.g., CD, CE, or CF.
- So, CD is a radius.
- Diameter: A line through center with endpoints — DF passes through C, so DF is the diameter.

✔ Answer:
- Circle: C
- Radius: CD (or CE, CF)
- Diameter: DF

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7)

- Circle: Center is N, so Circle N.
- Radius: From N to any point — e.g., NO, NP, or NQ.
- So, NO is a radius.
- Diameter: A line through center with endpoints — OQ passes through N, so OQ is the diameter.

✔ Answer:
- Circle: N
- Radius: NO (or NP, NQ)
- Diameter: OQ

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8)

- Circle: Center is M, so Circle M.
- Radius: From M to any point — e.g., MP, MN, or MO.
- So, MP is a radius.
- Diameter: A line through center with endpoints — PN passes through M, so PN is the diameter.

✔ Answer:
- Circle: M
- Radius: MP (or MN, MO)
- Diameter: PN

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9)

- Circle: Center is O, so Circle O.
- Radius: From O to any point — e.g., OP, OQ, or OR.
- So, OP is a radius.
- Diameter: A line through center with endpoints — QR passes through O, so QR is the diameter.

✔ Answer:
- Circle: O
- Radius: OP (or OQ, OR)
- Diameter: QR

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✔ Final Answers Summary:

| Problem | Circle | Radius | Diameter |
|--------|--------|------------|----------|
| 1) | K | KL | MN |
| 2) | R | RS | TU |
| 3) | A | AB | CD |
| 4) | B | BC | DE |
| 5) | E | EF | FH |
| 6) | C | CD | DF |
| 7) | N | NO | OQ |
| 8) | M | MP | PN |
| 9) | O | OP | QR |

> Note: Any valid radius or diameter segment can be used (e.g., if multiple are shown), but we chose one example for each.

Let me know if you'd like this formatted as a printable answer sheet!