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Question: prwef cach roflocbons {0 Word? Use whatyou Know about # Stal = Fats Roflect the word MOM across theb. The coordinates of the vertices ofa hexagon are give...

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Question: prwef cach roflocbons {0 Word? Use whatyou Know about # Stal = Fats Roflect the word MOM across theb. The coordinates of the vertices ofa hexagon are given: Write the coordinates of the hexagon = reierz: across the y-axis (Image I) and across the X-axis (Image 21 Pre-Image Image Image 2 A (1, 6) B (3,4) C(,6) D (5,4) E(32) F(,4) 3. Calculate the circumference and radius area of a circle with the 3 cm given measure Use 3.14 for #. diameter 4 #t

question: prwef cach roflocbons {0 Word? Use whatyou Know about # Stal = Fats Roflect the word MOM across the b. The coordinates of the vertices ofa hexagon are given: Write the coordinates of the hexagon = reierz: across the y-axis (Image I) and across the X-axis (Image 21 Pre-Image Image Image 2 A (1, 6) B (3,4) C(,6) D (5,4) E(32) F(,4) 3. Calculate the circumference and radius area of a circle with the 3 cm given measure Use 3.14 for #. diameter 4 #t



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Do you remember the daisy construction from Chapter $0 ?$ Construct a circle with radius $s .$ With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular hexagon inscribed in the circle. Construct radii to each of the six vertices. What type of triangle is formed? What is the ratio of the perimeter of the hexagon to the diameter of the circle?

We have six s. Mhm. Is our diane. I'm sorry, perimeter success is the perimeter of the hexagon to S. Is the diameter of the circle. So what's the ratio of this? What is six s divided by two S. is should cancel six divided by two. So the perimeter of the hexagon is three times the diameter of the circle.

You can use your compass to construct a circle of any distance that you want. Any radius and then start anywhere on the circle. But put your compass wherever you decide to start and then make an art. Using that same radius go around. Yeah make another mark, keeping it all in the same radius. Put your compass on that spot where it crosses circle. Bring it around, make a mark, keep going all the way around until you have gone all the way around the circle. Then we're done with our compass for now connect all those lines every single spot. Remember you made them all as a part. That was what you were doing with the compass was making them all as a part and s was the radius of the circle. So if we connect everything to the center, what type of triangle did you just form? This is a radius, This is a radius. We went around the circle making all those sides the same length as the radius. What type of triangle is it? You said equal lateral. You are correct. All the sides being the same equal lateral triangle. Now what about the perimeter of the hexagon? You've got six sides and each one is s. Mm. What about the diameter of the circle? Yeah you've got two of these. So what's the ratio of the perimeter of the hexagon to the diameter of the circle? What is six ass divided by 2? S. The S. S. Cancel out six divided by two is three. Which means the perimeter of the hexagon is three times the diameter of the circle. Yeah.

Hello there for this question were given the hexagon and were being asked What is the order of rotational symmetry? And so there's a gone, uh, is not a regular hexagon. It's a bit elongated, something like, uh so that's, uh uh, it's like we got Teoh call, then a B C the e f it says ex con a B C D. Let's take a look at rotational symmetry Figure center rotation right in the middle and lower rotate, uh, in this direction. So what we end up with, uh, first of all, we get to 90 degrees. Look, something like that and images that coincided. Pretty image. So clearly we don't have an incidence of rotational symmetry here, so give her to that one. How about 180 degrees? It's gonna look like this. Now point A is here. B c D E f. There's 100 degrees, and that is an incidence of rotational symmetry. How about 270 degrees in the, uh, exit? Gone now is more vertical yen. So that's not gonna be a, uh, the occurrence of rotational symmetry. And then we'll be back to where we started a 360 degrees. So in ah, one revolution we saw, too. Incidents of a rotational symmetry. So 360 degrees we had two times, uh gives us an angle of 180 degrees. We don't even need that. What we need is that the order is to so it's multiple choice. That would be, ah, answer. A order equals two.

In description as of one is a regular hexagon circumscribing a circle. So here you can see that to the figure. So it is a regular has gone which is inscribed in the circle, suppose the radius of circle which is our. So here earliest of circle. No, here you can see that it is also Leaders of circle which is E. And O. P. Is a right is off circle And it is a regular has gone. So angle will be 60, 60 and 60, so it will be equilateral triangle. So here we know that also are equal. So here that side will be our which is E. To the Ecuador triangle. We can get the area of regular has gone which is as someone equal to sorry, except to equal to. So here you can see that in this regard total six a coral triangle. So They all are same. So we multiply by six time A. of the coral triangle, which is squared 3.4 times all square equal to three times Square root three times are square up on two. Now we have to find the audio ads of one. So here you can see that regular has gone some circumscribing a circle. So here you can see that radius of circles which is our it's okay you can see that it is a little triangle. So that angle will be 60°. And here mm That angle half of 60s. So here we get 30 degree suppose that side will be X. To the diplomatic property. And here we use Hussein dang tita equal to ex upon our. and here the value of tree to which is 30°. So now here 10 30° equal to ex upon our the value of 10 30 which is one of one square or three. So you can write like that X. Equal to three. Sorry are upon square or three. Now you can see that the side of hexagon which is two X. And here the value of X is our upon its quality. So you can write like that sidle hexagon equal to two times are upon square all three. So now we know that the area of hexagon for at someone area equal to 16 Squad of 3.4 times side which is two times are upon Square 3 to the power to now we simplify this. So here we get three times square three upon do time four times r squared up on three equal to four times square or three times are square upon to. So here we get to times square or three times artist. So now we have to find the ratio of a. of s. of one upon A. R. S. A. two equal to To Times Square three times are square upon three times square, or three upon do times are square. So here we get 4.3. So ratio will be four racial 3. It is a final answer, which is options first.


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