(-2, 1)
(4,3)
0
"-
T
"+
х
Put the steps in order to find the distance between these 2 points.
(7 points)
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
Step 7:
Use the Pythagorean Theorem for right triangles to determine the diagonal
length: 22 +62 = c²
:: 40=c²
:: Draw a right triangle by dropping a vertical side and a horizontal side.
::40 =√c²
::40 is between √36 and √49, so between 6 and 7 - closer to 6, so about
6.3 units
::Determine the vertical side (2 units) and horizontal side (6 units) lengths by
counting on the grid (be careful of the scale), or using the vertical
coordinates (3 to 1) and horizontal coordinates (-2 to 4).
:: 4+36= c²
Step 1: Use the Pythagorean Theorem to find the diagonal length between the two points
Step 2: Square the difference in x-coordinates (-2 and 4) and y-coordinates (1 and 3)
Step 3: Add the squared differences together
Step 4: Take the square root of the sum to find the diagonal length
Step 5: Determine the vertical and horizontal side lengths by counting units on the grid
Step 6: Calculate the diagonal length using the side lengths found
Step 7: The distance between the two points is approximately 6.3 units.