Question

1. determine the midpoint of the points (10, 20) and (-10, -20)

(0, 0)
(20, 20)
(20, -10)
(-20, 10)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify the values of $x_1,y_1,x_2,y_2$

Here $x_1 = 10,y_1 = 20,x_2=-10,y_2 = - 20$.

Step3: Calculate the x - coordinate of the mid - point

$x=\frac{10+( - 10)}{2}=\frac{10 - 10}{2}=0$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{20+( - 20)}{2}=\frac{20 - 20}{2}=0$.

Answer:

A. (0, 0)