Question

in the diagram below. C is an equal distance to A and B.

Answer 1

Answer:

The answer is (50,-20)

Step-by-step explanation:

In x axis, c is halfway so 100 divided by 2 is 50.

In y axis, c is halfway -40 so it has to be -20.

So the answer is (50,-20).

Answer 2

The coordinates of C are (50, 10)

What is the midpoint formula?

For two points $(x_1,y_1),(x_2,y_2)$ the midpoint is,

$(x_m,y_m)=(\frac{(x_1+x_2)}{2} ,\frac{(y_1+y_2)}{2} )$

For given example,

C is an equal distance to A and B.

This means the point C is the midpoint.

The coordinates of the points A and B are,

A = (20, 0) and B = (100, 0)

Using the midpoint formula,

$\Rightarrow C=(\frac{0+100}{2}, \frac{20+0}{2} )\\\\\Rightarrow C=(\frac{100}{2}, \frac{20}{2} )\\\\\Rightarrow \bold{C = (50, 10)}$

Therefore, the coordinates of C are (50, 10)

Learn more about the midpoint formula here,

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