Tuesday, October 28, 2008

Response to Geometers Sketchpad

Post your responses here to Triangle page #7, 11, and then the Translations page #11.

20 comments:

evan said...

My observations on #7 are that the distance of the lines and the area of the triangle change. when i did number eleven, the same result occored, except the area of the triangle did not change. for the other number 7, it was not easy drawing your name because you cant make curvy lines.

EvanDasilva

Cassie Scanlan said...
This comment has been removed by the author.
Unknown said...

Well there were many observations in #7 that i had noticed. When you drag one of the three points no matter what the sum of the interior angles stay the same. The other thing that changes is the degree's of each angle. The triange also changes its shape and size to either bigger or smaller.

Nick25 said...

When you drag the triangle around the measure changes.The measure of the triangle gets bigger when you increaes the angles.It aslo decreaes when you make the triangle smaller.The ray doesn't move when drag the triangle.

Unknown said...

My observations on #11 is almost the same thing as #7. Both sums stay the same just he degrees of the angles change. Also along with the size and shape of the object.

Cassie H. said...

#7 Based on my exploration, I infer that as you move a point, the interior angles of the shape change. Because they change, the total of the sums change as well. They, the total and the interior angles' measurements, are interrelated. When one changes, it causes the other to change.

#11a Based on my exploration, I discovered that by moving an angle not adjacent to the exterior angle, the exterior angle's measurement is not effected. This is caused because the angle that we moved was not attached to the exterior angle. The two are not directly related. Therefore, changes in one will not result in changes in the other.

Shawn's Blog said...

#7. my observations showed me how to use the geometers sketch pad and that the lines and area of my triangle changed a bit.
#11. my observations showed me the same thing happening.
#7. I discovered that it is very hard to draw my name and it is very confusing.

Cassie Scanlan said...

My observations on number 7 are that the angles all equal to 180 degrees. But when i moved it the numbers changed. Also when i did number 11 it equaled to be 190 degrees. When i moved it this time it did not change. My observations for the second number 7 was that it was difficult drawing your name because you couldn't pick up your mouse. Also it was hard because the name came out messy.
-Cassie Scanlan

Brendan said...

7)My observations were that the lines change and that the areas change On # 11 the same thing happened but the area changed and not the legth of the lines On the other number 7 it was kinda hard because it was hard writing your name.

Sonny said...

I noticed that when you make the polygons sides bigger, the interior angle increased gratly.


When i moved one vertex i noticed that the two adjecent angles decreased when i moved them away from each other. Also when i moved the poaints closer together they also decreased.

Sonny said...

I noticed that when you make the polygons sides bigger, the interior angle increased gratly.


When i moved one vertex i noticed that the two adjecent angles decreased when i moved them away from each other. Also when i moved the poaints closer together they also decreased.

Anonymous said...

7. For my three angles I got 80, 64and 36 degrees. I added those up and got 179 degrees. When I dragged the triangle, all of the measurments I took changed, but the the calculation didn't.

11.The second time I moved the triangle, only the measurment for BAF changed. Everything else stayed the same.

7. When I traced my name using point C, point C' mirrored it.

Catherine W. said...

For #7 the angles all change, but the sum of the interior angles all stay the same. The angles get bigger or smaller because we're changing the size of the triangle.

For #11 it's the same as #7, the angles change but the sum does not.

x13brandon13x said...

no matter where you move the point the sum of the interior angles stay the same(at 180 degrees), and the other points stay where they are the only point moveing is the one you clicked on.But the length of the sides (a,b) and (a,c)change, where side (b,c) doesnt change.also the area changes, and each angle changes. c' traces your name backwards.

Anonymous said...

PS. this is alison hannon

Anonymous said...

My observations on number seven are that the measure of the interior angles added up to 188.0 degrees. When I moved the triangle around all of my other numbers changed except for the 188.0 degrees. On number eleven I made a ray and it went right off the page. But then I measured the exterior angle and got higher numbers. The i added up the two interior angles that are not adjacent to the exterior angles. Point C' traces the relected mirror image that I wrote. It was really fun to write and see that it was exactly the same as the one you originated from.

-Emily Christy

Brianna said...

7. Sevral things happen when you move a vertex of the triangle. One thing that happens is when you move the vertex the measures of the angles change. When they change, the sum is different. I conclude that the sum changes because when you move the vertex the angles get either smaller or larger. Since the angles get smaller or larger that makes the sum of the measurements change.

11. Which ever way you move the vertex, the measurements change. One way I moved the vertex, the sum of the interior angles are smaller than the exterior angle. Then when i moved it the other way it reversed. When it reversed, the exterior angle was smaller than the interior angles. When these changes occurred, the sum of the results were different.

Q1. Point C' traced what point C traced. Point C wrote your name and that meant point C' did the same. The only difference was point C' was a mirror image of point C. The mirror image of my name is in quadrant II and the original is in quadrant I. Point C' only traces the mirror image of point C.


-Brianna Barrows

Cassie H. said...

Q1 Point C' tracec the inverse of my name. It Is the reflection of "Cassie".

Unknown said...

My observations for number 7 are that all the interior angles added up to 180 degrees. Also, when i moved the ray, the angle measures changed but the total never changed.For my obervations for number 11 the exterior angles and the interior angles were only one apart, one was 107 degrees and one was 108 degrees. For my obervations for the second number 7 were that when i traced C, the C' point mirrored my name.

~Meghan Brown

Cavanaugh said...

my observations on #7 are that when you changed the triangle's size, the distance or length of the triangle changes.

on question #11 the same properties changed in #7 so its the same answer as #7

on #7 on the second page, it mirrored when i moved point C and it was pretty hard to spell my name with it