When
the graphics box is appears you will see a graph containing
100 points and labels for the x and yaxis. This tutorial
will demonstrate how Kinemage can be used to measure distances
and angles on a graph.
Try clicking any point. Notice that the lower left shows the
(x,y) coordinate for the point. The lower right side of the
screen gives the distance between the last two consecutive
points clicked (be sure you are exactly on the point when
you do this). Try clicking several points to demonstrate this
principle. Notice that clicking the same point twice will
leave the same coordinates but change the distance value to
0.
Click on the angle box found at the right side of the screen.
An acute angle <ABC will appear.
**Estimate
the value of the angle from your knowledge of geometry. <ABC=_________.
To
make the activity easier you might want to open another window
that contains just the text, or you might want to make a hardcopy
by printing the text page. The text for tutorial 2 is available
here.
To
measure the angle using Kinemage, go to the Other pulldown,
click on Measure. Now click point A, then point B and last
point C. The lower right will give the angle.
**What
is the measure of <ABC using Kinemage? ______.
Is the value in close agreement with your approximation?_______.
The
distance shown at the lower right will be the distance between
the last two points clicked. Do not be concerned about the
"dhr" value, we will demonstrate this in Tutorial
III. To turn off the measure option, go back to the Other
pulldown and simply click off Measure the white lines
that were traced over the angle will
be removed.
Remove
the green angle from the screen by clicking off the X from
the box named angle, at the right side of the screen. Click
on
rectangle.
**Estimate
the perimeter of the rectangle by counting squares.
What is your estimate of the rectangle? ______
**Measure
the perimeter by measuring the distance of each of the line
segments in the rectangle using Kinemage. What is your answer?________
**From
your knowledge of rectangles, what should each of the angles
of a rectangle be equal to?________
**Using
Kinemage what values do you get for each angle?____. The
sum of the angles of a rectangle is ________.
Clear
the screen of the rectangle. Call up the triangle.
**What
is your estimates for: <A=______ <B=_______ <C=________
**What
is your estimate for the perimeter of triangle ABC?______
**Using Kinemage find <A=______ <B=________ <C=_______
**The perimeter of triangle ABC using Kinemage is: ___________
Some
computers have built in calculators which may help when
doing computations with decimals. Ask your teacher if your
computer has a built in calculator.
It
is possible with Kinemage to draw your own images. First
clear the screen of all images, leaving only the points
on the screen. Go to the Other pulldown and click on drawline.
When the drawline box appears click "ON". NOTE:
Make sure the measure command is clicked off or measure
lines will also appear. Click two consecutive points and
a line will appear. You can continue to draw line segments
between any two points. If you wish to erase the last line
you drew, simply click eraseline at the right side of the
screen. If you have drawn several lines, clicking eraseline
will keep erasing lines in order from the last one drawn.
If you wish to erase all lines quickly, return to the drawbox
command under the Other pulldown menu and click off. This
will remove all lines you have drawn.
Activities
for Students:
1) Draw
your initials using line segments. Measure the distances
and angles used to form the letters.
2) Try
finding the interior angles of each of the polygons shown.
What is the sum of the interior angles of each of the polygons
shown?
3)If
you are familiar with the Pythagorean theorem a^2+b^2=c^2
find the diagonal of the square and rectangle. Check your
answer by measuring the diagonal using Kinemage.
3) Try
drawing several angles and polygons and measure their sides
and angles.
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