Constructions — Chapter Summary

We can copy any given angle

We can copy any given angle at a new point using a compass. First, draw an arc from the original angle's vertex, then replicate the same arc and dista

To bisect an angle

To bisect an angle, draw an arc from its vertex cutting both arms. From these points, draw two equal arcs that intersect. Joining the vertex to this i

Using a compass

Using a compass, we can construct angles like 60°, 90°, 45°, 30°, and others. For example, a 60° angle is made by drawing two equal arcs forming an eq

To draw the perpendicular bisector

To draw the perpendicular bisector, place compasses at both ends of the line segment and draw arcs above and below with radius more than half the leng

Triangles can be constructed when we

Triangles can be constructed when we know: (1) all three sides (SSS), (2) two sides and the included angle (SAS), or (3) two angles and the included s