Chapter 1.5, Problem 11PSA

To determine

To Prove: $J\text{is the midpoint of }\overline{HK}$ .

Explanation of Solution

Given:

  

  $\begin{array}{l}\overline{KJ}\cong \overline{HJ}\\ J\text{ is the midpoint of }\overline{HK}\end{array}$

If a point is the midpoint of a segment, it divides the segment into two congruent segments.

Concept Used:

Midpoint of a line segment divides it into two equal parts.

Proof:

Here, we have

  $\begin{array}{l}\overline{KJ}\cong \overline{HJ}\\ \text{Since, if a point is the midpoint of a line segment, it divides the line segment into two congruent segments}\text{.}\\ \Rightarrow J\text{ is the midpoint of }\overline{HK}\end{array}$