Question

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

Answer 1

Answer:

• See below

Step-by-step explanation:

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

• $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

1)

• $d=\sqrt{(1-4)^2+(-2-2)^2} =\sqrt{9+16} =\sqrt{25} =5$

2)

• $d=\sqrt{(2-(-8))^2+(-3-7)^2} =\sqrt{100+100} =\sqrt{200}$

3)

• $d=\sqrt{(1-9)^2+(9-1)^2} =\sqrt{64+64} =\sqrt{128}$

4)

• $d=\sqrt{(-8-(-2))^2+(2-(-6))^2} =\sqrt{36+64} =\sqrt{100} =10$