Cardioid technology is used in microphones and speakers. Cardioids appear in the motion of planets and in many other ways. See this YouTube video.
To draw a cardioid, first draw a circle, then carefully mark 36 points around the circle at 10 degree intervals and number the points n = 0 […]
a) To draw this pattern, first draw a rectangle.
b) Choose a small distance d, mark this distance along the edge of the rectangle and draw a straight line from one vertex of the rectangle to this point as in Step 1.
c) Mark the distance d along the next edge and […]
Imagine you have a pencil, ruler, protractor and compass and you try to draw this triangle. Is it possible?
If you have geometry instruments then try it for yourself. What do you notice?
Can you give reasons for your answer to the question “Is it possible?”
Click here for The Notes for Teachers. […]
You are only given the three midpoints of the sides of a triangle.
How can you construct the original triangle?
Is there more than one way to find the answer?
What similarities and differences can you see between this Triangle Midpoints problem, The Checkit Game with Addition https://aiminghigh.aimssec.ac.za/checkit-game/ and Polycircles https://aiminghigh.aimssec.ac.za/polycircles/
Investigate different triangles PQR where the angle QPR is 40 degrees. Choose your own angles at Q and R, for example someone might choose 90 degrees and 50 degrees and someone else 62 degrees and 78 degrees.
Accurately draw the internal bisectors of the angles at Q and R to meet […]
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