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Construction 2: Perpendicular Bisector Activity.pdf

Construction2.pdf
Preview of Construction 2: Perpendicular Bisector Activity
🔗 Source: projectmaths.ie
📊 Size: 143 KB
👤 Author: Project Maths Development Team 2009
⬇️ Downloads: 125

Summary

Perpendicular Bisector

## Objective:
Construct the perpendicular bisector of a segment using only a compass and straight edge, as guided by an interactive file.

## Steps and Observations:

1. Segment Lengths and Point T:
- Adjusting the slider to the right makes |RT| = 3.6. Compare this with |TS|.
- If |RT| = |TS|, then point T is the midpoint of segment RS. This implies that T divides RS into two equal parts.

2. Alternative Scenario:
- Moving the slider left to make |TS| = 3.3, compare it with |TR|.
- If |TS| = |TR|, then T is equidistant from points R and S, confirming its position as the midpoint.

3. Constructing Perpendicular Bisectors:
- Follow the interactive file to construct perpendicular bisectors for given line segments (i) and (ii).
- Verify that these bisectors intersect the original segments at their midpoints.

4. Triangle Side Bisectors:
- Construct perpendicular bisectors for each side of a triangle.
- Observe that these bisectors intersect at a single point, known as the circumcenter, which is equidistant from all three sides.

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Description

To construct the Perpendicular bisector of a segment, use a compass and straight edge. Move sliders to test equalities and conclude about point T.

Technical Information

  • File Format: PDF
  • File Size: 143 KB
  • Pages: 2
  • Language: EN
  • Author: Project Maths Development Team 2009
  • Total Downloads: 125
  • Last Updated: 2 hours ago

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This PDF document about Construction 2: Perpendicular Bisector Activity provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Construction 2: Perpendicular Bisector Activity.

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Construction guideConstruction tutorialPerpendicular guidePerpendicular tutorialBisector guideBisector tutorialActivity guideActivity tutorial

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