If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content
Current time:0:00Total duration:2:31

Identifying corresponding parts of scaled copies

Video transcript

we are told that figure 2 is a scaled copy of figure 1 and we can verify that by comparing corresponding sides corresponding sides or sides that have the same relative position the same they playing the same role in each of the diagrams even if the diagrams are scaled versions of each other even if they are different sizes so for example if we were to compare segment ei right over here it looks like it corresponds to segment opie and the length of EI is 3 the length of O P is 1 2 3 4 5 6 and so for this to be a scaled copy the scaling factor from what from the corresponding side in Figure 1 to the corresponding side in figure 2 should be a factor of 2 so it's times 2 right over there but let's just answer their questions that they're asking us and then we can also verify that it is a scaled copy what point on figure 1 corresponds to point Q on figure 2 all right pause this video and see if you can figure that out all right so Point Q on figure 2 is right over there so what point on figure 1 corresponds to that well it would have it would be playing the same role it would be in the same relative position and so it looks like this point right over here point B is in that same relative position so point B corresponds to point Q on figure to identify the side of figure 2 that corresponds to segment D see in figure 1 pause this video again and see if you can figure that out alright so segment DC and figure 1 that is that right over there and your eye might immediately catch that hey the segment that's playing the same role in Figure 2 is this one all right over here and so that is segment n/m but the line over it to make sure that I'm specifying the segment and we can once again verify the scale factor to ensure that this is a scaled copy for these two to correspond to each other and for these to be scaled copies of each other DC has a length of 1 2 3 4 and nm has a length of 1 2 3 4 5 6 7 8 so once again we are verifying that our scale factor is 2