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What is the midpoint of the segment shown below?

-10
10
-10-
10
OA (4,-2)
B. (4, -3)
O C. (2,-²)
D. (2,-3)

What is the midpoint of the segment shown below? -10 10 -10- 10 OA (4,-2) B. (4, -3) O-example-1

1 Answer

4 votes

Final answer:

To find the midpoint of a segment, calculate the average of the x-coordinates and y-coordinates of the endpoints. An example with hypothetical endpoints A and B shows how to apply the formula. Without actual endpoints, the correct midpoint cannot be determined from the given options.

Step-by-step explanation:

The question asks to find the midpoint of a segment with given endpoints. The midpoint of a segment can be found by calculating the average of the x-coordinates and the average of the y-coordinates of the endpoints. If the endpoints of the segment were provided, the calculation would look something like this:

Midpoint Formula: Midpoint M = ((x1 + x2)/2 , (y1 + y2)/2)

Where (x1, y1) and (x2, y2) are the coordinates of the endpoints. Since the question does not provide the coordinates of the endpoints, we cannot apply the formula directly. However, to demonstrate with an example, if the endpoints were A(-2, 3) and B(8, -7), the midpoint M would be calculated as follows:

M = ((-2 + 8)/2 , (3 - 7)/2)

M = (6/2 , -4/2)

M = (3, -2)

This would be the midpoint of the line segment joining A and B. For the question at hand, without the coordinates for endpoints, we cannot determine the correct midpoint from the options provided.

User Amila Weerasinghe
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