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- Straightedge: Anything that allows you to produce a straight line. In geometric constructions, a straightedge should not be used to measure distances. An index card works well as a straightedge. A ruler is a great straightedge when used to draw straight lines and not to measure.
www.ck12.org/flexi/geometry/construct-parallel-and-perpendicular-lines/what-is-a-straightedge-in-mathematics/Flexi answers - What is a straightedge in mathematics? | CK ...
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What is straightedge & compass construction?
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In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.
Separating the concepts of “straightness” and “length,” as the straight-edge and the compass do, turns out to be important for understanding the foundations of geometry. The same separation of concepts reappears in different approaches to geometry developed in Chapters 3 and 5.
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- perpendicular bisector. Construct a perpendicular bisector of the given line AB: Use compasses to draw an arc. Open the compasses to about three-quarters of the length of the line.
- angle bisector. Construct an angle bisector of angle ABC: Use compasses to draw an arc. Set your compasses to a length that is less than the shortest arm.
- from a point to a line. Construct a line from point P perpendicular to the line. Draw two arcs crossing the line segment. Put the point of the compasses on the original point P.
- from a point on a line. Construct a perpendicular line passing through given point P. Draw two arcs crossing the line segment. Put the point of the compasses on the original point P.
Oct 1, 2024 · Straightedge. An idealized mathematical object having a rigorously straight edge which can be used to draw a line segment. Although geometric constructions are sometimes said to be performed with a ruler and compass, the term straightedge is preferable to ruler since markings on the straightedge (usually assumed to be present on a ruler) are ...
"Construction" in Geometry means to draw shapes, angles or lines accurately. These constructions use only compass, straightedge (a ruler, but not using the numbers) and a pencil. This is the "pure" form of geometric construction: no numbers involved!
A straightedge is simply a guide for the pencil when drawing straight lines. In most cases you will use a ruler for this, since it is the most likely to be available, but you must not use the markings on the ruler during constructions .
A straightedge is any physical object with a solid, (you guessed it) straight edge that can be traced with a pencil. Note that while many people use a ruler as a straightedge in geometric constructions, technically, a straightedge should not include numbers.
