Coordinate Geometry and Nets Unit Test

Question

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Question
Use the image to answer the question.

A coordinate plane shows the x and y axes ranging from negative 6 to 6 in unit increments. Four points are plotted and labeled on the plane. The coordinates of the plotted points and the labels are as follows: left parenthesis 2 comma 1 right parenthesis is labeled as daisies, left parenthesis 5 comma 1 right parenthesis as roses, left parenthesis 5 comma 5 right parenthesis as lilies, and left parenthesis 2 comma 6 right parenthesis as sunflowers.

A map of a flower shop is shown. Each coordinate represents one foot. How far are the roses from the lilies? Explain how you found your answer.

(2 points)

Math Short Answer Rubric (2 points)
Points Awarded Criteria
2
The answer is correct. The student made no errors while solving.

The answer shows that the student used problem-solving skills and reasoning.

All work is shown or explained.

1
The answer is partially correct. The student made errors while solving.

The answer shows little problem-solving skills or reasoning.

Some work is shown or explained.

0 The question is not answered.


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Answer 1

To find the distance between the roses and the lilies, we can use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the roses are (5,1) and the coordinates of the lilies are (5,5).

Distance = sqrt((5-5)^2 + (1-5)^2)
Distance = sqrt(0^2 + (-4)^2)
Distance = sqrt(0 + 16)
Distance = sqrt(16)
Distance = 4

Therefore, the roses are 4 feet away from the lilies on the map.