Question

rewatch question 4 4/10 what is the formula for the length of a vertical segment? absolute value of x2 - x1 square root of (y2 - y1)^2 square root of (x2 - x1)^2

Explanation:

For a vertical segment, the \( x \)-coordinates of the two endpoints are the same, and the length depends on the difference in \( y \)-coordinates. The formula for the length of a segment between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \( \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \). For a vertical segment, \( x_2=x_1 \), so the formula simplifies to \( \sqrt{(y_2 - y_1)^2} \) (which is also equal to \( |y_2 - y_1| \), but among the options, "Square root of \((y_2 - y_1)^2\)" is the correct one as the other options relate to horizontal (involving \( x \)-coordinates) or incorrect for vertical.

Answer:

B. Square root of \((y2 - y1)^2\) (assuming the purple option is B, the yellow is A, orange is C, etc. based on typical multiple - choice formatting with the purple option being the second one which is the correct formula for vertical segment length)