Geometry Topic 1 – Student Activity Sheet 1
1. Take a few minutes to explore these two patterns. Then, in your own words, explain how
each pattern is generated. [OV, page 1]
2. How many times can you repeat the processes used to create the patterns above?
[OV, page 1]
3. What are the names for the rectangle and triangle above? [OV, page 1]
4. What does it mean to say a figure has self-similarity? [OV, page 1]
5. In the diagram, the numbers of branches that appear as the tree grows model the
Fibonacci numbers. This sequence of numbers is named after the Italian mathematician
Leonardo Fibonacci (1170–1250 AD). Can you find the pattern in the number of branches
as the tree grows? [OV, page 1]
6. Fill in the next few numbers in the sequence of Fibonacci numbers
[OV, page 1]
1, 1, 2, 3, 5, 8, 13,
7. Write a definition for inductive reasoning. [OV, page 2]
Overview
Go to: http://www.geogebra.org/student/m19052
1. You are looking at Point A. What is a point?
2. Click “Show Point B”

Click, AB . What do you notice? Write it down with the picture!

Click AB
What do you notice? Write it down with the picture!

Click BA
What do you notice? Write it down with the picture!

Click AB
What do you notice? Write it down with the picture!
?
Give definitions and pictures for:
A) Line
B) Ray
C) Segment
3. Click “Show Point C”
Click ABC . Sketch EXACTLY what you see!
What is an angle?
What is the “vertex” of ABC ?
Where is the vertex listed in ABC ?
Go to: http://geogebra.org/student/m24298
Move point A up.

What is the measure of ABC ? Sketch it!

What is the measure of ABD ?

What is the measure of DBC ?
Line DB ( DB ) is a bisector
What is a bisector? Give two examples of bisectors in geometry. [OV, page 4]
8. Graph and label the following points on the coordinate plane.
A (1,4)
B (-5,0)
C (0,8)
D (3,-5)
E (0,-2)
F (-8,-4)
G (4,0)
H (-7,7)
9. Draw the next image for each of these patterns.
a)
b)