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Exercices de Géométrie : Segments Congruents, Bissectrices et Médiatrices, Exercices de Mathématiques

Aide pour vous ! bonne chance !

Typologie: Exercices

2020/2021

Téléchargé le 25/01/2022

anna.berze
anna.berze 🇫🇷

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Congruent Segments:
1) Create a line segment AB
2) Place a point C anywhere around the line segment AB
3) Use the compass tool on the line segment AB to measure the radius
4) Place the circle on point C
5) Create a line from point C to anywhere around the circle, so that point D intersects the
circle.
Perpendicular Bisector of a Segment:
1) Create a line segment AB
2) Use the perpendicular bisector tool
3) Click on point A and B and it will create a perpendicular bisector of a segment.
Congruent Angles:
1) Create an angle with the line segment tool ABC
2) Next to the ABC angle create a line ED
3) Use the compass tool and click on point AB to make a circle
4) Place the circle on point D
5) Use the intersection tool and mark the new intersection F of the line ED and the new
circle.
6) Use the compass tool and click on points BC to create a circle and place the circle on
point F.
7) By using the intersection tool, mark the 2 new intersections of the circles as GH.
8) Finally by using a line segment tool connect the points DG to create a congruent angle.
Angle Bisector:
1) Create an angle with the line segment tool ABC.
2) Use the angle bisector tool and click on points BA.
3) When a line appears finally click on point C and the line will fix itself, which will create an
angle bisector.
The differences from using a paper/pencil/compass form technology:
When using technology it is way quicker and more efficient. Technology has made it very simple
and easy to create segments and angles.
When using an actual compass and drawing angles it takes more time to measure the right
points and circle around with a compass. It is easier to mess up while drawing on paper, you
have to measure each radius with a compass and you can't move the compass in between
drawing, otherwise your measurements won't add up to be congruent or to be able to bisect a
figure.

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Congruent Segments:

  1. Create a line segment AB
  2. Place a point C anywhere around the line segment AB
  3. Use the compass tool on the line segment AB to measure the radius
  4. Place the circle on point C
  5. Create a line from point C to anywhere around the circle, so that point D intersects the circle. Perpendicular Bisector of a Segment:
  6. Create a line segment AB
  7. Use the perpendicular bisector tool
  8. Click on point A and B and it will create a perpendicular bisector of a segment. Congruent Angles:
  9. Create an angle with the line segment tool ABC
  10. Next to the ABC angle create a line ED
  11. Use the compass tool and click on point AB to make a circle
  12. Place the circle on point D
  13. Use the intersection tool and mark the new intersection F of the line ED and the new circle.
  14. Use the compass tool and click on points BC to create a circle and place the circle on point F.
  15. By using the intersection tool, mark the 2 new intersections of the circles as GH.
  16. Finally by using a line segment tool connect the points DG to create a congruent angle. Angle Bisector:
  17. Create an angle with the line segment tool ABC.
  18. Use the angle bisector tool and click on points BA.
  19. When a line appears finally click on point C and the line will fix itself, which will create an angle bisector. The differences from using a paper/pencil/compass form technology: When using technology it is way quicker and more efficient. Technology has made it very simple and easy to create segments and angles. When using an actual compass and drawing angles it takes more time to measure the right points and circle around with a compass. It is easier to mess up while drawing on paper, you have to measure each radius with a compass and you can't move the compass in between drawing, otherwise your measurements won't add up to be congruent or to be able to bisect a figure.