Question

Drag the tiles to the correct boxes to complete the pairs. Match the pairs of coordinates with the distances between them.​

Answer 1

#1

• √(4-1)²+(2+2)²
• √3²+4²
• √5²
• 5units

#2

• √(-8-2)²+(7+3)²
• √10²+10²
• √200units

#3

• √(9-1)²+(1-9)²
• √8²+8²
• √128units

#4

• √(-2+8)²+(-6-2)²
• √6²+8²
• √10²
• 10units

Answer 2

• See below

Explanation:

Use distance formula and find the result for each pair of points.

• 
  `d=√((x_2-x_1)^2+(y_2-y_1)^2)`

1)

• 
  `d=√((1-4)^2+(-2-2)^2) =√(9+16) =√(25) =5`

2)

• 
  `d=√((2-(-8))^2+(-3-7)^2) =√(100+100) =√(200)`

3)

• 
  `d=√((1-9)^2+(9-1)^2) =√(64+64) =√(128)`

4)

• 
  `d=√((-8-(-2))^2+(2-(-6))^2) =√(36+64) =√(100) =10`