Coordinate Geometry and Nets Unit Test

Question

15 of 1515 of 15 Items

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)

Answer 1

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

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

Using the coordinates given:
Roses: (5, 1)
Lilies: (5, 5)

Plugging these values into the formula, we get:
Distance = sqrt((5 - 5)^2 + (5 - 1)^2)
Distance = sqrt(0 + 16)
Distance = sqrt(16)
Distance = 4

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