How can you model the effect of a dilation by a scale factor of 3 on the area of a two-dimensional shape?(1 point)The area will be 1 1/2 times as great. The area will be 1 Start Fraction 1 over 2 End Fraction times as great. The area will be 6 times as great.The area will be 6 times as great.The area will be 9 times as great.The area will be 9 times as great. The area will be 3 times as great.The area will be 3 times as great.
If a two-dimensional shape is dilated by a factor of 1/3, the effect on the area would be:
It is (1/9) times as great.
The area will be 9 times as great.
why?
When a shape is dilated by a scale factor of 3, each side of the shape is multiplied by 3, resulting in an increase in both the length and width of the shape.
Since area is found by multiplying the length and width of a shape, when both the length and width are multiplied by 3, the area is multiplied by 3 times 3, which equals 9.
Therefore, the area of the shape will be 9 times as great after a dilation by a scale factor of 3.
If a two-dimensional shape is dilated by a factor of 13, what is the effect on the area?(1 point)%0D%0AResponses%0D%0A%0D%0AIt is 23 as great.%0D%0AIt is Start Fraction 2 over 3 End Fraction as great.%0D%0A%0D%0AIt is 19 as great.%0D%0AIt is Start Fraction 1 over 9 End Fraction as great.%0D%0A%0D%0AIt is 13 as great.%0D%0AIt is Start Fraction 1 over 3 End Fraction as great.%0D%0A%0D%0AIt is 16 as great.
If a two-dimensional shape is dilated by a factor of 13, the effect on the area would be:
It is 169 times as great.
i meant 1/3
Apologies for that. If a two-dimensional shape is dilated by a factor of 13, the effect on the area would be:
It is (1/3) times as great.