Geogebra 2011-09-08 [8]

Applet 1 – How many times will EF fit in the rectangle?

1. Draw a line from B to D.

2. Guess how many times will EF fit along this line? ____

3.
Use the compass tool to grab the length

4.
Set the compass circle
down at .

5.
Intersect the two
objects ( and the compass circle
)

6.
Keep copying the segment
until you have answered the question.

Applet 2 – Bisect a segment

1.
Drag points P and Q
around to observe the construction of the perpendicular bisector.

2.
Use The Compass, Straightedge (line),
and Intersect to cut in half.

3.
Make the bisector line
green.

4.
Rename the midpoint to and make it red.

Applet 3 – Center of a Triangle:

1.
is created for you.

2.
Construct the
perpendicular bisectors of each side.
Label their intersection point “P”

3.
Draw a circle with
radius PA.

Now go to www.geogebra.org and click Download.

1.
From scratch, create an
equilateral triangle. Make the segments
blue, and thickness 7.

2.
Find the midpoints of
each side using the Compass tool.

3.
Connect the midpoints
with segments. Make these new segments
red, and thickness 5.

4.
Find the midpoints of
all of the new triangles by using the Midpoint tool.

5.
Choose a color for the
new segments, make them have thickness 3.

6.
How many new triangles
have been created?

Extension: How many triangles will there be if we did
this process 10 times in total? 100 times?