Use the image to answer the question.

Question

An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 8 to 8 in increments of 1. A quadrilateral upper A upper B upper D upper C is drawn on the coordinate plane. The coordinates of the quadrilateral are as follows: upper A left parenthesis negative 7 comma 7 right parenthesis, upper B left parenthesis negative 3 comma 6 right parenthesis, upper D left parenthesis negative 3 comma 1 right parenthesis, and upper C left parenthesis negative 7 comma 1 right parenthesis.

Find the length BD¯¯¯¯¯¯¯¯ in the polygon on the coordinate plane.

(1 point)
Responses

4 cm
4 cm

5 cm
5 cm

6 cm
6 cm

1 cm
1 cm

Answer 1

To find the length of BD, we can use the distance formula:

√((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of point B are (-3, 6) and the coordinates of point D are (-3, 1).

Plugging these values into the formula:

√((-3 - (-3))^2 + (1 - 6)^2) =
√(0^2 + (-5)^2) =
√(0 + 25) =
√25 = 5

Therefore, the length BD is 5 cm.