Intro to Constructions

David Wees, mark vasicek, Katie Nagle, Sep 4, 2020

This sequence of geometric constructions is designed as puzzles to figure out. Each game gets progressively harder; you use what you learn in future constructions. Attribution: This was inspired by David Wees' GeoGebra book "Introduction to Constructions" and Illustrative Mathematics. geometry. unit 1. section 1. activity 1. "The Right Tool." https://im.kendallhunt.com/HS/teachers/2/1/1/index.html Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/

Table of Contents

  1. Thursday 9/10
    1. #1 Draw a Circle
    2. #2 Given a Line Segment, Draw Another
    3. #3 Given a Line Segment, Draw Another
  2. Friday 9/11
    1. #4 Double the length of a line segment
    2. #5 Triple a Line Segment
    3. #6 Draw Two Circles
  3. Extra for Funsies
    1. #7 Draw an Equilateral Triangle
    2. #8 Draw Three Circles
    3. #9 Two Circles That Touch Once

1.

Thursday 9/10

  • 1. #1 Draw a Circle
  • 2. #2 Given a Line Segment, Draw Another
  • 3. #3 Given a Line Segment, Draw Another

1.1.

#1 Draw a Circle

Given a line segment, draw a circle with its radius as the line segment.[br]Check your work by doing the drag test: use the MOVE tool to try to drag each of the points.
– mark vasicek, David Wees

1.2.

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1.3.

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2.

Friday 9/11

  • 1. #4 Double the length of a line segment
  • 2. #5 Triple a Line Segment
  • 3. #6 Draw Two Circles

2.1.

#4 Double the length of a line segment

Draw a line segment that is exactly twice the length of the given line segment AB.
– mark vasicek, David Wees

2.2.

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2.3.

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3.

Extra for Funsies

  • 1. #7 Draw an Equilateral Triangle
  • 2. #8 Draw Three Circles
  • 3. #9 Two Circles That Touch Once

3.1.

#7 Draw an Equilateral Triangle

Draw a triangle where all three sides of the triangle are the same length as AB.
– mark vasicek, David Wees

3.2.

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3.3.

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