Day 8: Reflection symmetry

Find a picture on the web that has some kind of reflection symmetry

Insert it in Geogebra

Draw the contour of an object.

Reflect this object

Does this picture has reflection symmetry? Why?

Send the results of your investigation on an email

Day 7: Constructing a square and understanding the Pythagoras theorem with geogebra

Today we'll continue with constructions using geogebra. Now it's time to build a square and a little proof of the Pythagoras theorem. You can download the instructions here:

• Exercise 1: How will you draw square without using the Polygon tool?
• Exercise 2: Proving the Pythagoras theorem

Help

• Pythagoras theorem demonstration

Day 6: How to construct an equilateral and isosceles triangle without using the polygon tool

Have you ever wondered how to draw an equilateral triangle with geogebra without using the polygon tool? Today we'll learn how to do it.

• How to draw an equilateral triangle
• How to draw an isosceles triangle

Extra work

For those that are finished with the triangle points, here you have some extra exercises:

1. Construct a triangle of sides 5, 7 and 3 cm with geogebra. Explain below how did you managed it.
2. Construct an acute triangle with two sides of 5 and 7 cm and an angle of 30º.
3. Construct a right triangle with sides 4 and 3 cm. What is the length of the hyphotenuse?
4. Construct an obtuse triangle with a side of 4 cm and an angle of 135º.

Day 5: Incenter and centroid with geogebra

After you finish your constructions, you should send the .ggb files altogether in a mail to the teacher.

Day 4: Circumcenter and Orthocenter with geogebra

Day 3: Triangle centers

Today we're going to study the different triangle centers: centroid, incenter, circumcenter and orthocenter. I'm sure you studied them before. Are you able to remember them?

Links

• Triangle centers  (maths is fun)
• Triangle centers (geogebra tube)

Activity

Now that you have read about triangle centers, try to do the following activities.