Chapter 1: Orienting Yourself: The Use of Coordinates
Chapter 1: Orienting Yourself: The Use of Coordinates
Exercise
Question
Question: 9 (iii)
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The following table shows the coordinates of points S, M and T. In each case, state whether M is the midpoint of segment ST? Justify your answer.
| S | M | T |
|---|---|---|
| (0, 0) | (0, 5) | (0, -10) |
When M is the mid-point of ST, can you find any connection between the coordinates of M, S and T?
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Answer
1
Find the midpoint of S (0, 0) and T (0, -10) by averaging their x and y coordinates.Note: The midpoint of (x_1, y_1) and (x_2, y_2) is: (\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2})
Answer: No. M is not the midpoint of ST.
\textbf{Reason: The midpoint of S (0, 0) and T (0, -10) is: $\left(\dfrac{0 + 0}{2}, \dfrac{0 + (-10)}{2}\right)$ = (0, -5). These coordinates are different from the given coordinates of M, (0, 5). Therefore, M is not the midpoint of ST.}