Use the image to answer the question.

Question

An illustration shows quadrant one of a coordinate plane with the x axis extending from 0 to 9 and the y axis extending from 0 to 9 in increments of 1. A quadrilateral upper A upper B upper C upper D is drawn on the coordinate plane. The coordinates of the rectangle are as follows: upper A left parenthesis 2 comma 5 right parenthesis, upper B left parenthesis 1 comma 3 right parenthesis, upper C left parenthesis 9 comma 3 right parenthesis, and upper D left parenthesis 9 comma 6 right parenthesis.

Find the length of line segment BC .

(1 point)
Responses

3 cm
3 cm

10 cm
10 cm

9 cm
9 cm

8 cm
8 cm

Answer 1

To find the length of line segment BC, we can use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

For points B(1, 3) and C(9, 3):

Distance = sqrt((9 - 1)^2 + (3 - 3)^2)
Distance = sqrt(8^2 + 0^2)
Distance = sqrt(64)
Distance = 8

Therefore, the length of line segment BC is 8.

Correct Answer: 8 cm