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Angle60DropDetailed.a8fecc42bb58d423235fc06b20fa8474.png

Instruction: Construct a straight line through the given point that makes an angle of 60° with the given line.

Goal: 3L 4E

Available tools:

  • Move
  • Point
  • Line
  • Circle
  • Perpendicular Bisector
  • Perpendicular
  • Angle Bisector
  • Intersect

Pack: Delta

Previous level: 4.1

Next level: 4.3

3L solution[]

Let A be the given point.

  1. Construct a circle with center A and an arbitrary radius, intersecting the line at B and C
  2. Construct the circle with center B and radius AB, intersecting circle A at D and E
  3. Construct the perpendicular bisector of CD

4E solution[]

Let A be the given point.

  1. Construct a circle with center A and an arbitrary radius, intersecting the line at B and C
  2. Construct the circle with center B and radius AB, intersecting circle A at D and E, and intersecting the line at F and G
  3. Construct the circle with center F and radius DF, intersecting circle A at H
  4. Construct line AH

Alternate 4E solution:

  1. Construct a circle with center A and an arbitrary radius, intersecting the line at B and C
  2. Construct the circle with center B and radius AB, intersecting circle A at D and E, and intersecting the line at F and G
  3. Construct line DF, intersecting circle A at H
  4. Construct line AH

2V solution[]

From the 3L solution:

  1. Construct the perpendicular bisector of CE

From the 4E solution:

  1. Construct the circle with center G and radius EG, intersecting circle A at I
  2. Construct line AI

From the alternate 4E solution:

  1. Construct line EG, intersecting circle A at I
  2. Construct line AI

Explanation[]

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