Question

Issouf claims that the scale factor is 1/2. which statement about his claim is correct?

A- He is correct because CB is 4 and C' B' is 2. The scale factor is C'B'/CB = 2/4 = 1/2

B- 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 1/2

C- 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.

D- He is Incorrect because the scale factor is 1/3. CB is actually 2 + 4 = 6. CB is the pre-image, so the scale factor is C'B'/CB = 2/6 = 1/3.​

Answer 1

Its D

Explanation:

i just took the quiz and got it right

Answer 2

The correct option is D.

Explanation:

It is given that Issouf claims that the scale factor is 1/2.

From the given figure it is clear that

`CB'=C'B'=2`

`B'B=6`

`CB=CB'+B'B=2+4=6`

The scale factor of a figure is

`k=\frac{\text{Length of any side of image}}{\text{Length of corresponding side of preimage}}`

`k=(C'B')/(CB)`

`k=(2)/(6)`

`k=(1)/(3)`

The scale factor is 1/3 because CB is actually 2 + 4 = 6.

Therefore the correct option is D.