Given a triangle, this page shows how to construct another triangle that is congruent to it using a compass and straightedge or ruler.
The above animation is available as a printable step-by-step instruction sheet, which can be used for making handouts or when a computer is not available.
The image below is the final drawing above.
|1||PR is congruent to (same length as) AC||PR drawn with compass width set from AC|
|2||RQ is congruent to (same length as) CB||RQ drawn with compass width set from CB|
|3||PQ is congruent to (same length as) AB||PQ drawn with compass width set from AB|
|4||Triangles ABC, PQR are congruent (same shape and size)||Congruence rule SSS - three sides congruent|
|5||Triangle PRQ is an exact copy of triangle ABC||From (4)|