How to Draw Rotation Symmetric Figures by wfq13152

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									         How to Draw Rotation
          Symmetric Figures



This is a 10-Point Homework Assignment. You must at least attempt
 the two drawings to receive credit. Make your drawing interesting!
                Print Page
First click below and print out the Printable
Protractor and Shapes
         Printable Protractor and Shapes
Next, cut out the arrow in the top right hand
corner of the page
If you do not have a protractor at home, then cut
that out as well
Leave the other shapes for later
           Directions Page 1
On the arrow you cut out, mark two points on it
as shown in the video below.
                Draw the Points
Now trace the arrow onto the center of a piece of
paper and mark on it the same two points as you
did above
                Trace the Shape
Draw a line from the center of the rotation out
through the tip of the arrow. This is Line 1.
                 Draw the Line
           Directions Page 2
To draw a figure with 4-fold Rotational
Symmetry, you need to know the Magnitude of
Rotation. Remember that’s “how far” the shape
turns in one rotation.
Since there are 360˚ in a circle, and you want to
make 4 turns: 360
                      = 90°
                  4
Therefore, the Magnitude of Rotation is 90˚.
In general, when n = the number of rotations you
want to make, use 360 to find the Magnitude
                      n
          Directions Page 3
From the Center of Rotation on the arrow, use
your protractor to measure and mark a 90˚
angle. Then draw a line out from the center
through the 90˚ mark. This is Line 2.
       Measure the Angle & Draw Line 2
Now, using the line you just drew (Line 2),
measure another 90˚ angle and draw the line.
This is Line 3.
         Measure again & Draw Line 3
           Directions Page 4
Now, using the line you just drew (Line 3),
measure another 90˚ angle and draw the line.
This is Line 4.
         Measure Again & Draw Line 4
You now have all 4 lines for the 4 Magnitudes of
Rotation for your 4-fold Rotation Symmetric
shape.
Now it is time to draw your shape . . .
        Directions Page 5
Now pick up the arrow you traced earlier.
Line up the two marks you made on the arrow
with Line 2. Then trace the arrow again.
         Trace the Arrow on Line 2
Line up the two marks you made on the arrow
with Line 3. Then trace the arrow again.
         Trace the Arrow on Line 3
Line up the two marks you made on the arrow
with Line 4. Then trace the arrow again.
         Trace the Arrow on Line 4
           Directions Page 6
Now you have a 4-fold Rotation Symmetric
figure
                 Check it Out!
The lines you have already drawn on the figure
represent 2 of the lines of symmetry for the
shape.
Now draw in the other two lines
          With the Lines of Symmetry
            Directions Page 7
             Now try one on your own.
Choose any of the shapes that you printed out
earlier, or find one around your house.
Choose 3-fold, 5-fold, 6-fold . . . Rotation
Symmetry
  Remember! If you choose 5-fold Rotation Symmetry,
  you cannot use 90˚ angles. 360°          So you would
                                    = 72°
  use 72˚ angles.                5
  See “Directions Page 2” if you need help with the
  Magnitude of Rotation
           Directions Page 8
Now use the directions from earlier to draw your
Rotation Symmetric figure
Here are some examples of ones that I drew
     5-Fold Rotation Symmetric Example
     3-Fold Rotation Symmetric Example
           Credit or No Credit
To receive credit for this assignment, you must
bring to class . . .
  Your drawing of the 4-Fold Rotation Symmetric figure
  that we drew together (the Arrow)
  The n-Fold Rotation Symmetric figure that you drew on
  your own
This is a 10-Point assignment
Please make your drawing look as nice as
possible (color . . . )
If none of this made any sense to you, then
you must at least bring in your attempts!

								
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