Practice Test 8

A student is constructing a line parallel to $\ell$ through a point $P$ using only a compass and straightedge. The student copies an angle formed by transversal $\overline{AP}$ with line $\ell$ to create a congruent angle at $P$.

Which reasoning explains why the construction works?

A student is constructing a line parallel to $\ell$ through point $P$ using only a compass and straightedge. The student correctly copies the angle at $X$ onto point $P$ using arcs and a copied chord, and then draws a line $m$ through $P$ forming the copied angle with the transversal. Which statement correctly describes the constructed line $m$?​