Describe how you could use the formulas for midpoint and slope to prove the following. Given: Triangle HJK, R is the midpoint of side HJ, S is the midpoint of side JK. Prove: segment RS is parallel to side HK.
Answer: please note your answer would NOT have to be exactly like this
Use the midpoint formula (average of the x-coordinates, average of the y-coordinates) to find the coordinates of the midpoints R & S. Using the coordinates of R, S, H, & K and the slope formula (the difference of the y-coordinates "over" the difference of the x-coordinates) find the slopes of RS and HK. If those two line segments have the same slope, then we can say they are parallel.
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