Interpreting scale factors in drawings | Geometry | 7th grade | Khan Academy

We are told Ismail made a scaled copy of the following quadrilateral. He used a scale factor less than one. All right, and then they say, what could be the length of the side that corresponds to AD?

So, AD is right over here. AD has length 16 units in our original quadrilateral. What could be the length of the side that corresponds with AD on the scaled copy of the quadrilateral?

So, it's a scale factor less than one, so we're going to get something that is less than 16 for that side. And the rest of it will all be scaled by the same factor. So, the resulting quadrilateral might look something like this. This is just my hand-drawn version.

So, the key realization is, is if our scale factor is less than 1, this thing right over here is going to be less than 16 units. So, let's look at the choices and it says choose three answers.

So, pause the video. Which of these would match if we're scaling by a factor of less than one? Well, we just have to see which of these are less than 16 units.

This is less than 16, this is less than 16, this is less than 16, and those are the only three that are less than 16. 32 units would be a scale factor of two. 64 units would be a scale factor of four. Clearly, a scale factor that is not less than one.