070820 Homework: Geometric Constructions and Explorations cont.

Name:______________________________

1. Remember problem #1 from the weekend’s homework? This activity will use things you learned in that problem to solve some algebra problems in addition to learning some more geometry.

1. Construct below. Construct the midpoint of and call it C. Also, construct two more points NOT on the segment that are equidistant from endpoints A and B.

2. Now recall from your notes and from our discussions from class. What can you highlight from the points you have just constructed?

3. What you have just constructed is called a perpendicular bisector of . What properties do you notice about this pependicular bisector and our original segment?

4. I let you measure ½ of and you note that it is 7 inches long. How long then is ? How do you know?

e. Let’s say the total length is 10 cm. The length of is 3 less than twice an unknown. What is the value of the unknown? What if is 25cm long? What is the value of the unknown then?

2. What are the properties the two triangles from problem 3 have in common? What properties do they not have in common?

3. Let you imagination run wild here…what is the least amount of information you would need about a triangle in order to copy it?