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What's on the worksheet
- Find where arcs about A and B meet on a strip of paper and why they bisect.
- Explain why a fold gives equal segments and find the perimeter of triangle EBC.
- Explain why Mia's intersection of two circles still gives an equilateral triangle.
- Find the bus stop equally far from both schools on the street.
- Show why the midpoint construction with a point C works.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Why a construction works: the lesson ›More Chapter 11 worksheets: Constructions
- 11.1Copying a segment and an angle
- 11.2Bisecting a segment and an angle
- 11.3Why a construction works
- 11.4Perpendicular and parallel lines through a point
- 11.5Constructing a triangle from given parts
- 11.6Dividing a segment into equal parts
- 11.7Equilateral triangle, square and hexagon in a circle
- 11.8Constructions with circles
- 11.9Locus of points