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

9 cm
9 cm

3 cm
3 cm

10 cm
10 cm

8 cm
8 cm
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1 answer

The length of line segment BC can be found using the distance formula:

√[(x2 - x1)^2 + (y2 - y1)^2]

Plugging in the coordinates of points B(1,3) and C(9,3), we get:

√[(9 - 1)^2 + (3 - 3)^2]
√[8^2 + 0^2]
√(64)
8

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