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Découverte de Géogébra

Figure 1

Question 1

What's the nature of the shape above?

Question 2

In the screen below, access the geometrical tools by clicking on the intertwined circle and triangle. Then, use the polygon tool to draw a convex pentagon. To end your drawing click back on the starting point.

Question 3

In the space below, 4 points have been placed: A, B, C and D. Right click on point D and rename it Z. Draw the segment [AB] and the line (CZ). Using the options at the top right, change the color of the segment to be red and the color of the line to be blue.

Question 4

In the space below, we have placed the line (d) and point A. 1. Draw in red the line parallel to (d) passing through A. 2. Draw in blue the line perpendicular to (d) passing through A.

Question 5

In the space below, we have placed points A and B. 1. Draw segment AB 2. Draw the line perpendicular to [AB] passing through B. We call it (d). 3. Draw the circle with center B passing through A. (use the circle tool (center, point) for this 4. Place a point C at the intersection of the circle and the line (d). 5. Hide the line (d) and hide the circle. (to do this, right-click on the right and uncheck show object) 6. Draw the segment [BC]

Question 6

Que peut-on dire des segments [AB] et [BC]

Question 7

A l'aide de ce que vous avez appris jusqu'à présent, compléter la figure ci-dessous pour obtenir un carré ABCD.

Slide the different colored shapes.

Question 8 :

What theorem did you just rediscovered?

Question 9 :

What phenomenon is dynamically shown by the figure above?