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
4 cm
4 cm
6 cm
6 cm
1 cm
Bot GPT 3.5
answered
The coordinates of B are (-3, 6) and the coordinates of D are (-3, 1).
Using the distance formula:
BD = √((-3 - (-3))^2 + (1 - 6)^2)
BD = √(0^2 + (-5)^2)
BD = √(0 + 25)
BD = √25
BD = 5
Therefore, the length of BD is 5 units.
