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About Me
- egrasso10
- I like to play hockey. Food that is not good for me I still eat all the time, doritos and goldfish. I think it is cool when you watch Monday Night Football and the players give respect to their high school instead of college. WOW, that is the type of high school Norton should be, so amazing you want to mention how great it is whenever you can.
11 comments:
Question # 7: Some conjectures i have is that when i move the lines or points the angles change and form a different figure than what i had beforehand. NOT FINISHED!!!!!!!!!!
At first my angles were 81, 57 and 42 degrees. After I stretched the vertex they were 78, 43 and 59 degrees. My conjecture was that all triangles add up to 180 degrees of interior angles. My exterior angle was 88 degrees. At first my two angles that were not adjacent to the exterior angle were 91 and 52 degrees and my exterior was 88 degrees. After I dragged a vertex the interior angles were 33 and 81 degrees that were not adjacent to the exterior angle. The exterior then became 59 degrees. My conjecture from this was that if you subtract the exterior angle from both interior angles added together, the answer is 55 degrees.
I probably passed in too much, but whatever. By the way, where were you at the very LAST volleyball game?
7). The conjecture portrayed by the example was that the sum of the interior angles of a triangle will always equal 180 degrees. The angles that I first started with were, m of A= 52 degrees, m of B= 47 degrees, and m of C =81 degrees, with a total of 180 degrees. When I moved one of the vertices around my angles measures were, m of A= 36 degrees, m of B= 94 degrees, and m of C= 50 degrees, all totaling 180 degrees once again proving my conjecture.
11). The conjecture depicted is that the sum of the two interiors angles that are not adjacent to the exterior angle of the third angle is equal to the angle of the exterior angle that is nonadjacent. My interior angles had the measures of 36 degrees and 94 degrees equaling to a total of 130 degrees which is the measure of the exterior angles adjacent to the third angle of 50 degrees. This proves the conjecture true because 130=130 degrees.
7). A reflection over a line is similar to the mirror image of something. When I traced out my name on the right side of the line, it was reflected on the left side of the line. The reason for it being a reflection is that the points on the line of my name on right side matched up with the points on the left side exactly.
-Kady F. B,D geometry
Angle Worksheet:
7.) I constructed a triangle with a ray off of one of the angles. Then I measured each of the interior angles. I got 44 degrees of angle ABC, 55 degrees for angle CAB, and 81 degrees for angle ACB. Then I calculated the sum of those angles and got 180 degrees. After, I moved the vertices of the triangle and observed the measures. Each time, they added to 180 degrees. I came up with a conjecture after this experiment. It is: “The sum of the interior angles of a triangle is 180 degrees.
11.) I measured the exterior angle of the ray. I got 136 degrees. Then, I measured the sum of the two interior angles that are not adjacent to the exterior angle. I got 136 degrees. I moved the vertices again and noticed that the nonadjacent angles always equal the exterior angle of the third interior angle. I came up with two conjectures after this experiment. One is: “Adjacent angles equal 180 degrees, which means they are supplementary angles.” A second is: “The two nonadjacent interior angle’s sum equals the exterior angle off of the third interior angle.
Reflection Worksheet:
11.) I constructed a line. Then I plotted a point on the right side of the line. And off of that point I traced my name. And as I did so, my name was reflected, as I drew, on the left side of the line. To answer the question: “Point C’ traces a reflection of my name from the right side onto the left side.”
Meagan Elliott 10/27/08
Mr. Grasso Period BD
Computer Lab Work
Questions
this is connor bac with his report...
well when i added up all of the interior angles the sum was 180 and the exterior angles sum was 360.Um well when i moved one vertex the two nonadjacent angles changed as well as the vertex angle.
Reflection worksheet:
Well i drew the lines and labeled it as the mirror. And it said to trace your name with C so C traces your name.
7) When you make the angles and record their measure to get 180 degrees. Then when you change them, you are still left with the sums equaling 180 degrees. The conjecture is: The sum of the interior angles of a triangle is allways 180 degrees.
11) This time I measured the non adjacent angles to the other two and saw that the angles of the two interior adjacent angles were congruent to the measure of the extertior angle of the non adjacent angle.
Reflection WS- As I traced my name I could see that it was a perfect reflection do to the opposite points on each side being the same.
7. The conjecture indicated by the exploration was that no matter how much the angles changed, the sum of their measures always equaled 180 degrees. As the measurements of the angles changed when i dragged the vertex, the measures of the interior angles added together still egualed 180 degrees (no matter how dramatically I dragged the vertex around).
11. The conjecture revealed by the exploration was that the sum of the measures of the two interior angles and the nonadjacent exterior angle was the same. As I dragged the vertex of the triangle, both the sums of the two interior angles and the nonadjacent exterior angle increased and dereased together, equaling the same measures.
Reflection Worksheet:
After I traced my name on the right side of the line, I found that my name was reflected on the left side, leaving a mirror image of the letters. Point C traced my name on the right side, reating a reflection or mirror image onto the left side of the line. A reflection ocurred because my name was plotted on corresponding points on both sides of the line.
Elizabeth LaVerghetta
Mr. Grasso period BD
Computer Lab Work
10/30
Tyler Anderson
angle CAB= 16 degrees
angle ACB= 7 degrees
angle CBA= 158 degrees
#7. A conjecture that I can make based on my exploration is that the interior angles in a triangle will always add up to equal 180 degrees.
#11 A conjecture that I can make from this exploration is that the measure of the two adjacent interior angles have the same measure of the exterior angle for the non adjacent angle.
When I traced my name the coordinates for each of the points was the exact opposite of what they originally where the first time.
7.) My original interior angles were 41, 31, and 108. I added them together to get 180. When I moved a vertex around, the sum of the interior angles always stayed 180. therefore, the conjecture i came to was that the sum of the interior angles of a triangle are always 180, regardless of how odd-looking the triangle is.
11.) I don't remember what my exterior angle was because I tried to post it in the computer lab and it didn't work, but from reading the conjectures that other kids posted, I see that my conjecture would have been that the sum of the measure of the two adjacent interior angles is the same as the measure of the nonadjacent exterior angle.
Reflection Question: When I traced my name on the right side of the line, a mirror image appeared on the left side of the line.
#7)I realized that no matter where you drag point c to; the sum of the interior angles will always 180 degrees.
#11)I noticed that the measure of the adjacent int. angles are congruent to the measure of the exterior angle for the not adj. angle
7)When I traced my name I realized that when you mirror it, it is the same as a reflecton. all of the coordinates are the same just opposite.
7: When i created the original triangle, the interior angles added up to 180 degrees. Then when i chaged one angle, the others changed to total 180 degrees. Therefor, a conjecture i can make is that the interior angles of all triangles add up to 180 degrees.
11: A conjecture i can form is that the sum of the two adjacent interior angles is congruent to the measure of the nonadjacent exterior angle because in the activity, the angle measures always changed so that the two interior angles would equal the exterior angle.
7: When I traced my name on the right, an opposite mirror image appeared on the left with all of the same corresponding points to my name on the right.
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