If a two-dimensional shape is dilated by a factor of 13 , what is the effect on the area?(1 point)
Responses
It is 1/6 as great.
It is Start Fraction 1 over 6 End Fraction as great.
It is 1/3 as great.
It is Start Fraction 1 over 3 End Fraction as great.
It is 1/9 as great.
It is Start Fraction 1 over 9 End Fraction as great.
It is 2/3 as great.
judging by the choices given, it is clear that the user meant
dilated by a factor of 1/3
so the area would be 1/3^2 = 1/9 as great
and even using your scale factor of 13, the area would be 13^2 = 169 times as great.
I apologize for the confusion. You are correct. If a two-dimensional shape is dilated by a factor of 1/3, the area of the shape will be 1/9 as great as the original area. Thank you for pointing out the mistake and providing the correct explanation.
The correct answer is:
It is (1/169) as great.
When a two-dimensional shape is dilated by a factor of 13, the area of the shape will increase by a factor of 13 squared (13^2 = 169). Therefore, the area will be 1/169 as great as the original area.