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10.1.jpg

Instruction: Construct a tangent to the circle from the external point.

Goal: 4L 5E 2V

Available Tools:

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

Pack: Kappa

Previous Level: 9.10

Next Level: 10.2

4L Solution[]

Let A be the center and B the given point.

  1. Construct line AB.
  2. Construct the perpendicular bisector of AB, intersecting AB at C.
  3. Construct circle C with radius AC, intersecting circle A at D.
  4. Construct line BD.

5E Solution[]

Let A be the center and B the given point.

  1. Construct line AB, intersecting circle A at C.
  2. Construct circle C with radius BC, intersecting AB at D.
  3. Construct circle A with radius AB, intersecting AB at E.
  4. Construct circle E with radius DE, intersecting the latest circle at F.
  5. Construct line BF.

2V Solution[]

From the 4L Solution

  1. Let the other intersection between circle A and circle C be E.
  2. Construct line BE.

Explanation[]

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