Use the image to answer the question.

Two points, upper T and upper P mark either end of a line segment slanting up from the left to the right. A third point, upper W, is plotted below the line segment.

Jouri constructed PT¯¯
using a compass and straightedge. She then placed point W
so that it was not on the segment she just constructed, as shown in the image. What is the next step Jouri must take to construct a copy of PT¯¯
using point W
as one of her endpoints?

Option #1: Using a compass, measure the distance between point P
and point W
.

Option #2: Using a compass, measure the distance between point T
and point W
.

Option #3: Using a compass, measure the distance between point T
and point P
.

(1 point)
The next step Jouri needs to take is Option #
.

1 answer

To construct a copy of segment PT using point W as one endpoint, Jouri must measure the distance between points T and P first. This distance will provide the length needed to replicate the segment at point W.

So the next step Jouri needs to take is:

Option #3: Using a compass, measure the distance between point T and point P.