Question

For the following figure, name the three segments congruent to $\overline{PQ}$.

Short answer

The three segments are congruent to $\overline{PQ}$ are role="math" localid="1637734840559" $\overline{\mathbf{Q}\mathbf{R}}$, role="math" localid="1637734851055" $\overline{\mathbf{R}\mathbf{S}}$, role="math" localid="1637734857115" $\overline{\mathbf{S}\mathbf{T}}$.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Define the concept.

The midpoint of a segment is a point that divides the segment into two congruent segments.

Here from the number line, the segment $\overline{PT}$is divided into four equal parts.

Step 3. Step description.

As the segment $\overline{PT}$is divided into four equal parts $\overline{QR}$, $\overline{RS}$, $\overline{ST}$and thus these are congruent to the segment $\overline{PT}$.

Hence, the segments $\overline{QR}$,$\overline{RS}$,$\overline{ST}$are congruent to the segment .