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We're Getting Mutants in the MCU - The Loop

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__Instruction:__ Construct an inner tangent between two circles.

Goal: 6L 8E 2V

Available Tools:

- Move
- Point
- Line
- Circle
- Perpendicular Bisector
- Perpendicular
- Angle Bisector
- Parallel
- Non-collapsing Compass
- Intersect

Pack: Kappa

Previous Level: 10.2

Next Level: 10.4

## 6L Solution[]

Let A and B be the centers of the circles.

- Construct line AB, intersecting circle A at C and circle B at D, with C on the other side of A from B and D between A and B.
- Construct the perpendicular bisector of AB, intersecting AB at E.
- Construct the perpendicular bisector of CD, intersecting AB at F.
- Construct circle E with radius AE, intersecting bisector F at G.
- Construct circle G with radius CG, intersecting circle A at H and circle B at I.
- Construct line HI.

## 8E Solution[]

Let A and B be the centers of the circles.

- Construct line AB, intersecting circle A at C and circle B at D, with C and D between A and B.
- Construct circle C with radius AC, intersecting circle A at E.
- Construct circle D with radius BD, intersecting circle B at F, with F being the point further from E.
- Construct line EF, intersecting AB at G.
- Construct circle D with radius DG, intersecting AB at H.
- Construct circle B with radius BG, intersecting AB at I.
- Construct circle I with radius HI, intersecting the latest circle at J.
- Construct line GJ.

## 2V Solution[]

From the 4L Solution

- Let the other intersection between circle E and bisector F be J.
- Construct circle J with radius CJ, intersecting circle A at K and circle B at L.
- Construct line KL.