About this video
Figure b is a scaled copy of figure a. By comparing corresponding sides (2 becomes 6, and 3 becomes 9), the video shows the scale factor from figure a to figure b is 3.
You'll be able to
- find a scale factor by comparing corresponding sides.
- use a scale factor to predict the length of another side.
Key words
- scale factor
- The number each length is multiplied by to go from one figure to its scaled copy.
- corresponding sides
- Sides that match up in the two figures.
Transcript
- [Instructor] Right over here, figure b is a scaled copy of figure a. What we want to do is figure out what is the scale factor to go from figure a to figure b? Pause the video and see if you can figure that out. All we have to do is look at corresponding sides and think about how much they have been scaled by.
For example, this side right over here would correspond to this side right over here on figure b. And over here, it had length two and over here it has length one, two three, four, five, six. So, it look like that side has been scaled up by a factor of three. If figure b truly is a scaled copy, then every side should be scaled up by a factor of three.
We could verify that. We don't have to do it with every side. We're being told that these are scaled copies but we can see that this is the case. For example, this side right over here, corresponds to this base right over here. This has length three. So, if we're scaling up by a factor of three, we should multiply that by three and this should be of length nine.
Let's see if that's the case. One, two, three, four, five, six, seven, eight, and nine. So, you can see, we can feel pretty good that figure b is a scaled copy of figure a and that scaling factor is three.
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