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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