Bisectors & Loci, Constructions, Bearings

perpendicular bisector

1. draw 2 points over halfway of line

2. draw arch of points : their intersection

bisector of an angle

1. draw an arch from point of angle

2. where arches intersect with angle’s lines, draw 2 new arches

3. draw line through intersect of new arches

bisecting a point

1. draw arches on the line from the point

2. draw new arches with compass sharp on the line

3. draw line @ intersect

bisector from higher point

1. draw arches from higher point intersecting with the line

2. plot that intersection with a vertex, perform action of perpendicular bisector

SSS construction

1. draw longest length(L)

2. mark lengths of other sides on L

3. draw arches with this length as radius, join lines at intersection

SAS construction

1. measure angles along longest longest length (L)

2. find point of angle + extend into line

3. intersect + join points /w 2nd line

ASA construction

1. measure angles from opposite points of the line (L)

2. extend into lines and join @ intersection

loci

set of points, lines, curves, or surfaces that all satisfy a specific geometric rule or condition

how to satisfy loci from a point

use compass

how to satisfy loci on distance to line

bisector

how to draw bearings

1. angles always measured from North

2. always measured clockwise

3. always 3-digits

bearings /w (co)sine

1. draw out bearings into triangle

2. cosine or sine rule?

3. substitute known values into equation