Question

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Partitioning a Segment Quick Check
2 of 52 of 5 Items












Question
Use the image to answer the question.

Segment upper A upper B is graphed on a coordinate plane. The x-axis ranges from negative 2 to 2 in increments of 1. The y-axis ranges from negative 1 to 7 in increments of 1.
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Point upper A has coordinates left parenthesis 0 comma 0 right parenthesis. Point upper B has coordinates left parenthesis 0 comma 6 right parenthesis.


Determine the coordinates of point J
on AB¯¯¯¯¯¯¯¯
so that the ratio of AJ
to JB
is 1:1.

(1 point)
Responses

J(0,2)

upper J left parenthesis 0 comma 2 right parenthesis

J(0,3)

upper J left parenthesis 0 comma 3 right parenthesis

J(0,−3)

upper J left parenthesis 0 comma negative 3 right parenthesis

J(3,0)

upper J left parenthesis 3 comma 0 right parenthesis
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Answer 1

Midpoint (since 1:1 splits the segment equally). Coordinates = ((0+0)/2, (0+6)/2) = (0, 3). So J(0,3).