Use the image to answer the 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

10 cm
10 cm

9 cm
9 cm

3 cm
3 cm

8 cm

1 answer

To find the length of line segment BC, we need the coordinates of points B and C:

  • Point B has coordinates (1, 3)
  • Point C has coordinates (9, 3)

Since both points have the same y-coordinate (3), line segment BC is horizontal. We can find the length of segment BC by subtracting the x-coordinates.

Length of BC = x-coordinate of C - x-coordinate of B Length of BC = 9 - 1 = 8

So, the length of line segment BC is 8 cm.