Find the midpoint of the line segment joining the points (1, 2) and (3, 4).
Practice Questions
Q1
Find the midpoint of the line segment joining the points (1, 2) and (3, 4).
(2, 3)
(1, 2)
(3, 4)
(4, 5)
Questions & Step-by-Step Solutions
Find the midpoint of the line segment joining the points (1, 2) and (3, 4).
Step 1: Identify the coordinates of the two points. The first point is (1, 2) and the second point is (3, 4).
Step 2: Write down the formula for finding the midpoint. The formula is Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2).
Step 3: Substitute the coordinates into the formula. Here, x1 = 1, y1 = 2, x2 = 3, and y2 = 4.
Step 4: Calculate the x-coordinate of the midpoint. This is (1 + 3) / 2 = 4 / 2 = 2.
Step 5: Calculate the y-coordinate of the midpoint. This is (2 + 4) / 2 = 6 / 2 = 3.
Step 6: Combine the x and y coordinates to get the midpoint. The midpoint is (2, 3).
Midpoint Formula – The midpoint of a line segment is calculated using the formula ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints.