Question

Point A and Point D have the same second coordinate, and ABCD is a quadrilateral. Line segment AD is 3 cm in length. What coordinates does Point D need to be plotted at to make this statement true?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To have Point A and Point D share the same second coordinate, let's denote that coordinate as y. Therefore, the coordinates of Point D should be (x, y) where x is unknown.

Since line segment AD is 3 cm in length, we can use the distance formula to find the value of x.

Distance formula:
√((x2 - x1)^2 + (y2 - y1)^2) = 3

Substitute the coordinates of points A and D:
√((x - 0)^2 + (y - y)^2) = 3
√(x^2 + 0^2) = 3
√(x^2) = 3
x^2 = 3^2
x^2 = 9
x = ±3

Therefore, the possible coordinates of Point D are (3, y) or (-3, y), where y is the second coordinate shared with Point A.