Transferring an angle from one point to another
Back to constructions homepage
Back to Geometry homepage
In this exercise you are given a point \(Q\) on a given line and three points \(X\), \(Y\) and \(Z\) which are not on the line. Your task is to construct a line passing through \(Q\) which makes an angle equal to \(\angle XYZ\) with the given line.
Once you have finished the construction, you can check the answer using the angle tool.
The diagram contains an example of a point \(P\) on the given line (coloured in black) and three points \(A\), \(B\) and \(C\). The orange line through \(P\) makes an angle equal to \(\angle ABC\) with the black line.
Hint. This exercise is explained in Euclid Book I, Proposition 23.
