Question

Question
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A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 5. Data points marked are point A at left parenthesis 1 comma 2 right parenthesis, point B at left parenthesis 3 comma 2 right parenthesis, point C at left parenthesis 3 comma 4 right parenthesis, and point D at left parenthesis 1 comma 4 right parenthesis. A line joins points A to B, B to C, C to D, and D to A, forming a rectangle.

Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.

(1 point)
Responses

4
4

2.83
2.83

8
8

4.24
4.24
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Answer 1

Side length = distance from A(1,2) to B(3,2) = 2.
Diagonal d = sqrt(2^2 + 2^2) = sqrt(8) = 2.828427... ≈ 2.83.

Answer: 2.83