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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
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Identifying patterns-Criteria B
Use geometry software or a protractor to do this activity: Softwareyou can use: pencil box,
geometry pad+, Geogebra or use a physical protractor.
Construct
Construct points A and B. Using.4 as a center of rotation, rotate
B 60°. Rotate the image of B 60°. Repeat until the image point is
concurrent with the original point B. Connect the points in the
order in which they were made.
Investigate
1. Measure sides and angles, then classify the polygon.
D
C
Repeat the activity above, this time rotating by 90°. Connect the points in the order in
which they were made.
2. Measure sides and angles, then classify the polygon.
Repeat the activity above, this time rotating by 100° four times.
3. Make a conjecture about why the last point does not coincide with the first point.
4. Make a conjecture about the whole number rotations that will produce regular polygons. Give
three examples and construct those polygons.
Extend
5. Measure BCD of the original polygon. Make a conjecture as to how this angle relates to the
angle of rotation used to construct the polygon.
6. Does your conjecture from Exercise 5 hold true for the other polygons you were able to
construct
7. Draw a line segment from point A to each of the vertices of the original construction. How does
this help you prove your conjecture from Exercise 5?
Place your drawing here for questions 1 to 7.
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