Given the coordinates (7,−3) , (7,−8) , (11,−4) , and (11,−9) , what is the length of the vertical sides of the quadrilateral, in cm?(1 point)

Question

cm

Answer 1

The length of the vertical sides of the quadrilateral can be found by calculating the difference in the y-coordinates of the given points.

For the vertical side between (7,−3) and (7,−8):
Difference in y-coordinates = -8 - (-3) = -5 cm

For the vertical side between (11,−4) and (11,−9):
Difference in y-coordinates = -9 - (-4) = -5 cm

Therefore, the length of the vertical sides of the quadrilateral is 5 cm.

Answer 2

Given the coordinates (9,−2) , (9,−11) , (15,−4) , and (15,−13) , what is the length of each of the two longest sides of the quadrilateral, in cm?(1 point)
cm

Answer 3

To find the length of the two longest sides of the quadrilateral, we need to calculate the distance between the points that are farthest apart from each other.

The two longest sides will be between (9,−2) and (9,−11), and between (15,−4) and (15,−13).

For the first vertical side between (9,−2) and (9,−11):
Difference in y-coordinates = -11 - (-2) = -9 cm

For the second vertical side between (15,−4) and (15,−13):
Difference in y-coordinates = -13 - (-4) = -9 cm

Therefore, the length of the two longest sides of the quadrilateral is 9 cm.

Answer 4

A neighborhood map was created on a coordinate plane. Each grid represents one mile. If the pool is on coordinates (2, 20) , and your house is on coordinates (2, 18) , how many miles is your house from the pool?(1 point)
miles

Answer 5

To find the distance between two points on a coordinate plane, you can use the distance formula:

The distance between two points (x1, y1) and (x2, y2) is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Given that the pool is at coordinates (2, 20) and your house is at coordinates (2, 18), you can calculate the distance as follows:

Distance = √((2 - 2)^2 + (20 - 18)^2)
Distance = √(0 + 2^2)
Distance = √(4)
Distance = 2 miles

Therefore, your house is 2 miles from the pool.