Topic 4 Basic Constructions

Kirk Culler, May 25, 2022

Materials to Practice for Topic 4 Basic Constructions

Table of Contents

  1. Practice the Constructions
    1. Copy a Segment
    2. Bisect a Segment
    3. Copy an Angle
    4. Bisect an Angle
    5. Inscribed Equilateral Triangle
    6. Constructing Perpendicular Lines
    7. Constructing Parallel Lines
    8. Inscribed Regular Hexagon
    9. Inscribed Square
  2. Basic Constructions Solutions
    1. Copy a Segment Solution
    2. Copy an Angle Solution
    3. Bisect a Segment Solution
    4. Bisect an Angle Solution
    5. Constructing Perpendicular Lines Solution
    6. Constructing Parallel Lines Solution
    7. Inscribed Hexagon and Equilateral Triangle Solution
    8. Inscribed Square Solution

1.

Practice the Constructions

Practice the Constructions 1) Copy a Segment 2) Copy an Angle 3) Construct a Perpendicular Bisector 4) Construct an Angle Bisector

  • 1. Copy a Segment
  • 2. Bisect a Segment
  • 3. Copy an Angle
  • 4. Bisect an Angle
  • 5. Inscribed Equilateral Triangle
  • 6. Constructing Perpendicular Lines
  • 7. Constructing Parallel Lines
  • 8. Inscribed Regular Hexagon
  • 9. Inscribed Square

1.1.

Copy a Segment

– Kirk Culler

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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2.

Basic Constructions Solutions

Solutions of the Basic Constructions: 1) Copy a Segment 2) Copy an Angle 3) Construct a Perpendicular Bisector 4) Construct an Angle Bisector

  • 1. Copy a Segment Solution
  • 2. Copy an Angle Solution
  • 3. Bisect a Segment Solution
  • 4. Bisect an Angle Solution
  • 5. Constructing Perpendicular Lines Solution
  • 6. Constructing Parallel Lines Solution
  • 7. Inscribed Hexagon and Equilateral Triangle Solution
  • 8. Inscribed Square Solution

2.1.

Copy a Segment Solution

Copy a Segment Steps
1) Create a segment of any length AB[icon]/images/ggb/toolbar/mode_segment.png[/icon][br]2) Create ray CD [icon]/images/ggb/toolbar/mode_ray.png[/icon][br]3) Use the compass tool [icon]/images/ggb/toolbar/mode_compasses.png[/icon] to find the length of AB and place the length with a center at point C,[br]4) Create a point at the intersection [icon]/images/ggb/toolbar/mode_intersect.png[/icon] of the compass and ray. Point E[br]5) Prove that the segments are congruent using the distance tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_distance.png[/icon]
– Kirk Culler

2.2.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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