Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Answer 1

Answer:

The answer is below

Explanation:

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

$Distance=AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

a) Distance between (-3, 1) and (5, 4)

$Distance=\sqrt{(5-(-3))^2+(4-1)^2}=\sqrt{8^2+3^2}=\sqrt{73} =8.5\ units$

b) Distance between (2, 3) and (4, 5)

$Distance=\sqrt{(4-2)^2+(5-3)^2}=\sqrt{2^2+2^2}=\sqrt{8} =2.8\ units$

c) Distance between (-5, 7) and (8, 5)

$Distance=\sqrt{(8-(-5))^2+(5-7)^2}=\sqrt{13^2+(-2)^2}=\sqrt{173} =13.2\ units$

d) Distance between (-2, 4) and (3, -1)

$Distance=\sqrt{(3-(-2))^2+(-1-4)^2}=\sqrt{5^2+(-5)^2}=\sqrt{50} =7.1\ units$