Answer:
13.) A(-6, -2), B(7, -4), C(4, 2), D(-1, 2)
14.) AB = 10
15.) MN = 5√2
Step-by-step explanation:
Formulae:
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex]
- d = distance
- x₂ = second x-value
- x₁ = first x-value
- y₂ = second y-value
- y₁ = first y-value
Calculations:
[tex]AB=\sqrt{(10-2)^2+(9-3)^2}\\AB=\sqrt{(8)^2+(6)^2}\\AB=\sqrt{64+36}\\AB=\sqrt{100}\\AB=10[/tex]
[tex]MN=\sqrt{(5-4)^2+(5-(-2))^2}\\MN=\sqrt{(1)^2+(7)^2}\\MN=\sqrt{1+49}\\MN=\sqrt{50}\\MN=5\sqrt{2}[/tex]
