Question

Issouf claims that the scale factor is one-half. which statement about his claim is correct? line segments a prime b prime and a b. the distance from the center of dilation c to a prime is 2. the distance from a prime to a is 4. he is correct because cb is 4 and c’b’ is 2. the scale factor is startfraction c prime b prime over c b endfraction = startfraction 2 over 4 endfraction = one-half. he is correct because he needs to subtract 2 from each side. a reduction has a scale factor that is a fraction, so it must be one-half. he is incorrect because it is 3. cb is actually 2 4 or 6. so one needs to multiply the pre-image length by 3 to get the image; 3 is the scale factor. he is incorrect because the scale factor is one-third. cb is actually 2 4 = 6. cb is the pre-image, so the scale factor is startfraction c prime b prime over c b endfraction = startfraction 2 over 6 endfraction = one-third.

Answer 1

The scale factor of dilation is 1/3 but Issouf claims that the scale factor is 1/2. His claim is incorrect because the scale factor is one-third. Option D is correct.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Issouf claims that the scale factor is one-half. It can be written as,

$k=\dfrac{1}{2}$

The figure for the given problem is attached below for line segments A'B' and AB.  In this figure the distance from the center of dilation c to A' is 2. The distance from A' to A is 4.

The distance from CB' after the dilation is 2 as shown in figure.

$CB'=2$

The length of the CB is,

$CB=CB'+B'B\\CB=2+4\\CB=6$

Original length is 6 units and dilated length is 2 units long. Thus, the scale factor of dilation is,

$k=\dfrac{2}{6}\\k=\dfrac{1}{3}$

The scale factor of dilation is 1/3 but Issouf claims that the scale factor is 1/2. Hence, he is incorrect because the scale factor is one-third. Option D is correct.

Learn more about the scale factor here;

https://brainly.com/question/10253650

Answer 2

Answer:

D

Explanation: