Activity #1
Here are 4 steps of construction of a specific figure. It's like a stop motion movie. Each numbered step matches with one instruction. What is the first one?
Ο Trace a triangle rectangle named ABC. Ο Trace a right triangle named ABC. |
What is the next one? Ο Trace the circle of center B going through point A. Place point I at intersection of BC and this circle. Ο Trace the circle whose radius is AI. |
What is the third one? Ο Draw the parallel line to AB. Ο Draw the perpendicular line to AC passing by I. |
What is the last one? Ο The parallel to AB going through I intersects AC at point J. Place J. Ο This perpendicular line goes through point J. Find J. |
Now, it is up to you to imagine instructions in order to get the number-4 figure. What would be the first one? |
What segment has been added in step 2? |
Point E is at intersection of which lines? |
In step #4, how is line EF with respect to line DC? |
Activity #2
We are going to draw a geometrical figure, step by step. You have to find which instruction is given to see the blue object Step 1 O Trace a line. O Trace a square. |
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Step 2 O Trace a point. O Trace a point C. |
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Step 3 O Trace a circle cutting the line in 2 points. O Trace a circle going throuhg point C. O Trace a circle whose radius is C. O Trace a circle whose center is C. It must intersect the line at two points. |
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Step 4 O Name D and E the intersection points of circle and line. O Place D and E. |
Step 5 O Trace circle whose center is C and radius CD. O Trace circle whose center is D and radius CD. |
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Step 6 O Trace circle whose radius is CE and center C. O Trace circle of center E and radius EC. |
Step 7 O Place F. O Place F at intersection of two circles. O Place F as symmetrical of C with respect to line. |
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Step 8 It's up to you to write the next instruction. |
Step 9 I took my square set and check that... O line CF is perpendicular at the first line. O line CF is perpendicular to the first line. O line CF is perpendicular on the first line. |
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Step 10 Finally, what can we do from one point, and one line, and all these steps. |
Activity #3