Loci and Constructions

Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.

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Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)

One rule gives a set shape. 'Same distance from a point' draws a circle; 'same distance from two points' draws a straight bisector.

It works because both crossing points are equally far from A and B. Every point on the line is equidistant from A and B.

The new line splits the angle in half. Every point on it is equidistant from both arms.

'Less than' gives a region with a dashed edge; 'equal to' gives the boundary itself, drawn solid.

locus	the set of all points, and only those points, that satisfy a given condition; plural loci
perpendicular bisector	the line through the midpoint of a segment at 90°; its points are equidistant from the two ends
angle bisector	a line splitting an angle into two equal angles; its points are equidistant from both arms
arc	a curved mark drawn with a compass at a fixed radius
equidistant	the same distance from two or more points or lines
compass	the instrument used to draw arcs and circles of a set radius
region	an area of the plane satisfying an inequality, often shaded
straight edge	an unmarked ruler used only to draw straight lines in a construction

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