Use the image to answer the 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 5 cm 5 cm 6 cm 6 cm 1 cm 1 cm 4 cm 4 cm Skip to navigation

1 answer

To find the length of BD, we need to calculate the distance between points B(-3, 6) and D(-3, 1) on the coordinate plane.

The formula to calculate the distance between two points (x1, y1) and (x2, y2) on a coordinate plane is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates of B(-3, 6) and D(-3, 1), we get:

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

Therefore, the length of BD¯¯¯¯¯¯¯¯ in the polygon on the coordinate plane is 5 units.
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