Tuesday, October 28, 2008

Response to Geometers Sketchpad

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

32 comments:

E. Anderson said...
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tory c said...

# 7 When you drag a vertex, the values of the interior angles change. They change because the angles are either getting larger or smaller, and the angles always add up to 180 degrees.

# 11 When you drag the vertex, the value of the exterior angle is always changing. The value changes a lot quicker than the rest of the interior angles.


#Q1 (7) C' traces my name, but it traces it backwards because it is a reflection.

Anonymous said...

the sum of the interior angles did not change because the interior sum of the angles of a triangle always equal 180 degrees. moving the vertex only changed the angle measures, not what they added up to

Tim J said...

As you make the triangle more obtuse, two of the angles become smaller. The measure of the third triangle increases. The sum of the two interior angles that are not adjacent to the exterior angle equal the measure of exterior angle.As you drag a point of the triangle further away from the mirror line, the reflected point does the same thing. If you drag the point up, the reflected point also goes up.

Nicole said...
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Nicole said...
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Nicole said...

#7. The measures of the interior angles change as you move one of the vertices around and they get bigger and smaller but the measures of all the angles will always add up to 180 degrees no matter how much you move the vertex around because it is a triangle. The triangle just gets like bigger and smaller and such.

#11. as the interior angles get smaller or bigger the exterior angle aslo gets smaller or bigger along with it. the exterior angle will make a line with the angle of the triangle next to it so it will be supplementry to it.

#7.Point C' traces my name but it does not trace it the same way it actually traces it backwards.

Tim J said...

Justin,
The angle measures get closer to zero as the points get closer to a line. As two angles shrink one angle increases. The two interior nonadjacent angles add up to the exterior angle. This happens all the time not just in rare cases. As you pull a point closer to the mirror line the reflected point moves toward the line. As u pull the point away the reflected point also moves away.

jessica w said...

As you move one of the vertexes, your interior angles change but the sum of them does not. Also the exterior angles change to be supplementary with the interior angles. Based on that, when you move a vertex and look at the realtionship between that exterior and the non adjacent angles they all change depending on the interior angle that is adjacent.

becca said...

7.) no matter what you change the angles to in the triangle, they will add up to 180 degrees.

cassie iagatta said...

The angles of a triangle always add up to 180 degrees. The measure of the exterior angle is the same as the sum of the two adjacent interior angles.


(i never finished so ill finish the rest later.)

Anonymous said...

#11: when a vertex of the triangle is moved, the exterior angles change in measure, but they will still add up to 360 degrees. the sum of the exterior angles of any shape always add up to 360 degrees and that never changes.

alisonlynch said...

#7: From the geometers sketch pad activity i can see that with an obtuse triangle all the angles will add up to 180 degrees.

#11: Also, the obtuse angle and the angle that is adjacent to it (the exterior angle) added together will equal 180 degress. But, the the two nonadjacent add up to the exterior angle. This can be confirmed because it has too be congruent or the interior angles wouldnt add up to 180 degress.

I'll comment again later(:

Ruta12 said...

I have concluded that no matter what the angles are of a triangle are they will equal 180 degrees. The two non adjecent angles will always equal the exterior angle of the adjecent angle.

E. Anderson said...

interior = 180 cuz its a triangle.
exterior = 360 no matter what

Tim W said...

My conjecture is that no matter how you drag the vertex the sum of the interior angles will always be 180 degrees. If you add up the angles everytime you change the triangle they will equal 180.For 11, anytime you add the two non adjacent angles of the exterior angle together, they will equal that one exterior angle. Point c' traces the reflected image of what you draw from C. The picture is going to be backwards because it is reflected.

bri valeri said...

For #7, when you move the vertex, the interior angles change. As you move the vertex out more, the angle/triangle becomes obtuse. As the vertex is moved in, the angles become acute. The angles of a triangle always end up adding up to 180 degrees!

Audra said...

7. As I move Point B on my triangle around the sketchpad, the interior angles change depending on which way I move the point. Each angle is affected in a different way when I change the position of the point.

11. When I move the vertex, the value of the exterior angle changes.

7. Point C' traces a mirror image of my name backwards.

HollyM said...
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Kayla B said...

7.When i moved point A around i saw the angle measures change. I did the same for points b and c too.

11. When the vertex is dragged, the exterior angle changes. it changes more than the interior angles. The new adjacent angles are different

7. The C traces the my name. it traces it normally and it traces the reflection of my name.

Unknown said...

I will post my response later

Anonymous said...

The interior angles of a triangle always add up to 180 degrees. Even if the angles are changed the sum of all three interior angles will equal 180 degrees. The sum of the nonadjacent interior angles is equal to the measure of the exterior angle. The triagle translates ove the line but it is flipped.

Danielle said...

The sum of the interior angles of a triangle will always be 180, no matter where the points are. Even when you move the points around, if it is still a triangle, the sum of the interior angles will still be 180 degrees. The exterior angle will be the same as the sum of the two interior angles that are not adjacent to it. For example, in my triangle both were 118 degrees. This is true even if you move one of the vertices of the triangle, therefore, changing the angle measurements.

Max Wiese said...

It shows that no matter what, the sum of a triangle's interior angles are is always the same. This is displayed by the sum of all angles staying the same as you the individual measurements change. It shows that the two angles non-adjacent to the exterior angle will always add up to the measurement of the exterior angle. Point C'traces the mirror images of what you trace with point C. The mistake Tim and I made was not clicking off the points. This resulted in not a mirror image, but a exact copy.

Danielle said...

Also, point C' traces my name, but as a reflection, so it is backwards.

alisonlynch said...

okay so here is my continued comment!

#7: The c' traces my name but obviously as everyone else says it reflects it so its backwards

and i didnt know if you meant 7 or 11 cause you said 7 in class but it says 11 on here so here's 11..

#11: The traingle is always reflected across the line so even when you move a point on one side of the line the reflected point moves to match.

Nigel said...

7.) When you move one vertex and make it more obtuse the other angles become smaller. When you add up the interior angles you get 180 degrees.
11.) When you add up the interior angles nonadjacent to the exterior angle you get the exterior angle. The interior angles will always add up to the nonadjacent exterior angle.
7.) Point C' traces what ever you draw but it will be a reflection.

Keegan C said...

#7 When the vertex is change the interior angles change. The angles get smaller or in some cases larger, but euither way it moves the interior angles alwasy equal 180.

#11 After moving the vertex of the exterior angles all the englesn changed once again. The value changes muchmore rapidly than the interior angles.

#7 Point C traces my name but it traces it backwards as a refection.

shawn said...

7. I found that when you moved the angles it was possible to get the interior angles to equal 1 greater or 1 less than 180 degrees. I found this because when I moved around one of the vertices I got measures of 37, 72, and 72.
11. The sum of the 2 non-adjacent interior angles always is the same as the measure of the exterior angle. This is true because I got 38 and 96 for my interior angle measures which equals 134 degrees and the measure of the exterior angle is 134 degrees also.
T11. Point C' traces out a reflection of my name as if I had drawn it on one side of a window and then looked at it from the other side.

Anonymous said...

it traces my name backwards because it is a reflextion of the original design

Ross Isenegger said...

There is a very cool sketch about Exterior Angles at http://www.curriculum.org/csc/library/tips/downloads/gr9u4demo.gsp

HollyM said...

The angles of a triangle will always add up to 180 degrees and the exterior will always be 360 degrees. My reflection was backwards, but it seems like so was everyone elses.