Question

The midpoint of RS is M(1,4). One endpoint is S(0, 1). Find the coordinates of the other endpoint R. Write the coordinates as decimals or integers.

a) R(2,7)

b) R(1,3)

c) R(0,5)

d) R(2,1)

Answer 1

To find the coordinates of the other endpoint R, you can use the midpoint formula. The coordinates of the other endpoint R are (2, 7), so the correct answer is a) R(2,7).

Step-by-step explanation:

To find the coordinates of the other endpoint R, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates.

In this case, we know the midpoint M is (1, 4) and one endpoint S is (0, 1). Let's denote the coordinates of R as (x, y). Using the midpoint formula, we can set up the following equations:

x = (0 + x)/2, which simplifies to x = x/2

y = (1 + y)/2, which simplifies to y = (1 + y)/2

By substituting the coordinates of the midpoint M into the equations, we can solve for x and y:

1 = x/2, which gives us x = 2

4 = (1 + y)/2, which gives us y = 7

Therefore, the coordinates of the other endpoint R are (2, 7), so the correct answer is a) R(2,7).