If A = (1, 2) and B = (3, 4), what is the midpoint M of AB?

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Question: If A = (1, 2) and B = (3, 4), what is the midpoint M of AB?

Options:

Correct Answer: (2, 3)

Solution:

Midpoint M = ((1+3)/2, (2+4)/2) = (2, 3).

If A = (1, 2) and B = (3, 4), what is the midpoint M of AB?

If A = (1, 2) and B = (3, 4), what is the midpoint M of AB?

Step 1: Identify the coordinates of point A, which are (1, 2).
Step 2: Identify the coordinates of point B, which are (3, 4).
Step 3: To find the midpoint M, use the formula: M = ((x1 + x2) / 2, (y1 + y2) / 2).
Step 4: Substitute the coordinates of A and B into the formula: M = ((1 + 3) / 2, (2 + 4) / 2).
Step 5: Calculate the x-coordinate: (1 + 3) / 2 = 4 / 2 = 2.
Step 6: Calculate the y-coordinate: (2 + 4) / 2 = 6 / 2 = 3.
Step 7: Combine the x and y coordinates to get the midpoint M = (2, 3).

Midpoint Formula – The midpoint of a line segment defined by two points A(x1, y1) and B(x2, y2) is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2).