Question

The midpoint of BC is M(42, 42), One endpoint is C(0, 60). Find the coordinates of the other

endpoint B.
Write the coordinates as decimals or integers.

Answer 1

To find the coordinates of endpoint B, we can use the midpoint formula between the midpoint M and endpoint C. The x-coordinate of B is 84 and the y-coordinate of B is 24.

Step-by-step explanation:

To find the coordinates of endpoint B, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.

Given that the midpoint is M(42, 42) and one endpoint is C(0, 60), we can substitute these values into the midpoint formula:

x-coordinate of B = 2 * x-coordinate of M - x-coordinate of C = 2 * 42 - 0 = 84

y-coordinate of B = 2 * y-coordinate of M - y-coordinate of C = 2 * 42 - 60 = 24

Therefore, the coordinates of endpoint B are (84, 24).

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