<p><a href="http://i56.tinypic.com/2hf18qp.jpg%5B/url%5D">http://i56.tinypic.com/2hf18qp.jpg</a></p>
<p><a href="http://i55.tinypic.com/244ppo7.jpg%5B/url%5D">http://i55.tinypic.com/244ppo7.jpg</a></p>
<p>THNX,,,,,,,,,,,,</p>
<p>Helppppppppp</p>
<p>First one is C. Calculate the distance of the B to A, then from D to A. The point that you choose must have a distances that are equal to that old point. </p>
<p>Second one is A. Each point on the circle can only have one unique diameter. Keep in mind that you need two points for a diameter, so you divide 17 by 2. You get 8.5, but you know you can’t have half a diameter.</p>
<p>Sorry these explanations are bad, I’m trying to study right now.</p>
<p>Thank u so much
but i need a better explanation.
By the way the another of no. 1 is e not c</p>
<p>For the parallelogram problem, if B, C, and D are to be vertices then one side must be BD and the other is DC. There is no other choice. To complete this second parallelogram draw a line parallel to DC at B, and a line parallel to BD at C. That’s the only way you’d get that second parallelogram. Name the point where the two new lines intersect E. The slope of BD is the same as CE, and that of CD the same as BE. So the x coordinate of E is 5 + (3-2) = 6, and the y coordinate of E is 3 +(2-1) = 4. Words make this seem complicated. Sketch it out and you’ll see it better.</p>
<p>For the circle, the only way you can get a diameter by connecting two points on the circumference is when the line from one of the points to the other goes through the center of the circle. Another way of saying this is “when the two points are diametrically opposite” to one another.</p>
<p>Or thinking about this slightly differently: Recall from your geometry (or really common sense) that the a chord in the circle is less than the diameter unless it goes through the center.</p>
<p>Try the problem with 3 points rather than 17 to better understand how to proceed. If none of the points is diametrically opposite to any other the the answer is 0. The question asks for the “most”. So you can only have two points that are diametrically opposite. Two different points can be diametrically opposite to a third. Hence you have one segment.</p>
<p>For 17 points, you can have at most 8 pairs that are diametrically opposite, and hence 8 segments.</p>
<p>Sketch a few chords through the circle to convince yourself.</p>
<p>1 is E. Add the total side lengths of the parallelogram using right triangles and the Pythagorean Theorem. Then try each one of the possible choices to add up to the same amount. It takes a while, but it works. If you run into something like that on the test, leave it alone and come back to it if you have time. Or take care of it immediately if there’s a faster way I don’t know of.
2 is A. It’s an easy one! It just requires a bit of logical thinking. The line segments that can be diameters are directly opposite of each other and therefore only one segment for each pair opposites of each other can be a diameter. Therefore, the only possible answer is 8 because if there were more than that there would be more diameter segments than the number of given points would allow because of the criteria mentioned above.</p>