Question

drag each tile to the correct box. not all tiles will be used.
given a horizontal line segment ab and a point c, place the steps for copying \\( \overline { a b } \\) to create \\( \overline { c d } \\) in the proper order.
set the compass width
to ab.
draw \\( \overline { c d } \\).
set the compass width
to cb.
make a point d anywhere
on the arc.
place the compass point
at point c and draw an arc.
place the compass point
at point b and draw an arc.

Explanation:

Step1: Set the compass width to AB.

This is the first step as we need to measure the length of the original segment \(AB\) to replicate it.

Step2: Place the compass point at point C and draw an arc.

Using the width set to \(AB\), we create an arc from point \(C\) which will help us determine the length of the new segment.

Step3: Make a point D anywhere on the arc.

This point \(D\) will be the end - point of the new segment \(CD\) such that \(CD = AB\) (since the compass width was set to \(AB\) and the arc is drawn with that width from \(C\)).

Step4: Draw \(\overline{CD}\).

Once we have the two points \(C\) and \(D\), we can draw the line segment \(\overline{CD}\) which is a copy of \(\overline{AB}\).

Answer:

Set the compass width to \(AB\), Place the compass point at point \(C\) and draw an arc, Make a point \(D\) anywhere on the arc, Draw \(\overline{CD}\)