AIR MATH

Math Question

18 Triangle \( H J K \) and triangle PMK are similar right triangles. The coordinates of all the vertices are integers.
Which statement is true about the slope of \( \overline{H K} \) and the slope of \( \overline{P K} \) ?
\( F \) The slope of \( \overline{H K} \) is less than the slope of \( \overline{P K} \), because the ratio of the change in \( y \)-values of the endpoints to the change in \( x \)-values of the endpoints is less for \( \overline{H K} \) than it is for PK.
\( G \) The slope of \( \overline{H K} \) is equal to the slope of \( \overline{P K} \), because the ratio of the change in \( y \)-values of the endpoints to the change in \( x \)-values of the endpoints is the same for \( H K \) as it is for \( \overline{P K} \).
\( \mathbf{H} \) The slope of \( \overline{H K} \) is greater than the slope of \( \overline{P K} \), because the ratio of the change in \( y \)-values of the endpoints to the change in \( x \)-values of the endpoints is greater for HK than it is for \( \overline{P K} \).
J The relationship between the slope of \( \overline{H K} \) and the slope of \( \overline{P K} \) cannot be determined, because the triangles are congruent.

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