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Proposition 23. If the element & € R is obtained from field F € Rby a series of compass and straightedge constructions then [F (&) F] = 2* for s...

Question

Proposition 23. If the element & € R is obtained from field F € Rby a series of compass and straightedge constructions then [F (&) F] = 2* for some integer k > 0.

Proposition 23. If the element & € R is obtained from field F € Rby a series of compass and straightedge constructions then [F (&) F] = 2* for some integer k > 0.



Answers

CONSTRUCTION Exercises $11-14$ , copy the diagram.
Then use a compass and straightedge to construct a dilation of quadrilateral RSTU with the given center and scale factor $\mathrm{k}$ .
Center $P, k=2$

Okay, So in this problem, we're giving it, given a quadrilateral are Stu and we're told to use a scallop factor of three with the center of violations. See? Okay. And you straight edges to do this, but I don't have straight it, so I'm just going about this. So if I do a cable, you three Emma, draw a line from the center, dilation through each vertex and just go. So if it was like a distance of one from C T. I have to go a distance of three from sea to t prime. And that will be my image of tea. Okay, so do my you again, I see is my center of violation. Your logo care. So we got you is one two. 30. There's our image of you. I think there are through You want to It's a little bit off the page, but you kind of get the picture. That ass is one thio three. So if we were to sketch this picture, we're gonna go from T primed as prime. But our friend you will go. Sorry. Prime and your prime to team prime. So this figure is similar to the others. It should be three times as big, maybe nine times as big. Let's see, so each side length will be three times longer, So that area should be nine times bigger. That's cool. OK, so that's our figure. Uh, anything else to ask? So just follow finder center violation. Circle that and then just draw lines to each vertex and go to the scale factor in order to get your cash. Thank you.


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