15 points! What is the scale factor of the dilation?
Accepted Solution
A:
Answer: [tex]\frac{1}{2}[/tex]Step-by-step explanation: Use the formula for calculate the distance between two points: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] Calculate the distance AB. Substitute the coordinates into the formula. Then: [tex]d_{AB}=\sqrt{(8-0)^2+(8-(-7))^2}[/tex] [tex]d_{AB}=17[/tex] Calculate the distance A'B'. Substitute the coordinates into the formula. Then: [tex]d_{A'B'}=\sqrt{(2-6)^2+(1-5-(-6))^2}[/tex] [tex]d_{A'B'}=\frac{17}{2}[/tex] As you can see, the distance A'B' is the distance AB multiplied by 1/2. Therefore, this is the scale factor.