Question

worksheet 1d

1. find the midpoint of the segment connecting the points (x, y) and (x, z).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) in a 2 - D plane is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Here \(x_1=x\), \(y_1 = y\), \(x_2=x\), \(y_2=z\).

Step2: Calculate the x - coordinate of the mid - point

The x - coordinate of the mid - point \(M_x=\frac{x + x}{2}=x\).

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

The y - coordinate of the mid - point \(M_y=\frac{y + z}{2}\).

Answer:

\((x,\frac{y + z}{2})\)