To find the lengths of the two longest sides of the quadrilateral, we first need to find the distances between the given points.
Let's calculate the distances between the points:
1. Distance between (9, -2) and (9, -11):
Δy = -11 - (-2) = -9
Distance = √(0^2 + (-9)^2) = 9 cm
2. Distance between (9, -11) and (15, -13):
Δx = 15 - 9 = 6
Δy = -13 - (-11) = -2
Distance = √(6^2 + (-2)^2) = √(36 + 4) = √40 ≈ 6.32 cm
3. Distance between (15, -13) and (15, -4):
Δy = -4 - (-13) = 9
Distance = √(0^2 + 9^2) = 9 cm
4. Distance between (15, -4) and (9, -2):
Δx = 9 - 15 = -6 (we take the absolute value here)
Δy = -2 - (-4) = 2
Distance = √((-6)^2 + 2^2) = √(36 + 4) = √40 ≈ 6.32 cm
Therefore, the two longest sides of the quadrilateral are both approximately 6.32 cm in length.
Polygons in the coordinate plane practice. Complete this assessment to review what you've learned. It will not count toward your grade. 4 out of 51 out of 5. 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 answer