QuestionConstruct segment $\overline{DE}$ so that $DE = TR + PS$ . Identify the first and second steps from the options given.

Studdy Solution

STEP 1

Assumptions1. The segments $\overline{TR}$ and $\overline{PS}$ have already been constructed. . The task is to construct the segment $\overline{DE}$ such that $DE = TR + PS$ .
3. The first step to construct the segment $\overline{DE}$ needs to be identified from the given options.
4. The second step in the construction needs to be identified from the given options.

STEP 2

To construct the segment $\overline{DE}$ , we first need to plot two points and draw a ray through them. Since we are constructing $\overline{DE}$ , the points should be $and$ .
So, the correct option for the first step isB. Plot two points $and$ (one an endpoint) and draw a ray through them.

STEP 3

After drawing the ray, we need to set the length of the segment $\overline{DE}$ to be equal to the sum of the lengths of $\overline{TR}$ and $\overline{PS}$ .To do this, we can use a compass to measure the lengths of $\overline{TR}$ and $\overline{PS}$ and transfer these lengths to the ray $\overline{DE}$ .
So, the correct option for the second step isB. Place the compass at point $(or$ ) and draw an arc through $(or$ ).
Note This step is repeated twice, once for each of the segments $\overline{TR}$ and $\overline{PS}$ .

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