Question

visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problem(s) below. try this - copying an angle 3) construction - use a compass and straightedge to construct a copy of ∠l.

Explanation:

Step1: Draw a new ray

Use straightedge to draw a ray with endpoint \(M\) (new vertex).

Step2: Mark arc on original angle

Set compass to any width, place at \(L\), draw arc crossing both sides of \(\angle L\) at points \(A\) and \(B\).

Step3: Copy arc to new ray

Without changing compass width, place at \(M\), draw arc crossing the new ray at point \(C\).

Step4: Measure arc width on \(\angle L\)

Set compass width to distance \(AB\), place at \(C\), draw arc intersecting the arc from Step3 at point \(D\).

Step5: Draw second ray of copy

Use straightedge to draw ray from \(M\) through \(D\). \(\angle M\) is the copy of \(\angle L\).

Answer:

A congruent copy of \(\angle L\) is constructed as \(\angle M\) following the above steps.