CHAPTER 3 Blog Spot Questions and Discussion

We have properties of Reflexive and Transitive for both Property of Equality (Using Equal sings) and Congruence (Using the Congruence symbol) but we only have Substitution Property of Equality, not Substitution Property of CONGRUENCE.  Discuss why and figure out how to circumnavigate this problem. 



How is Substitution Property of Equality different from Transitive Property of Equality?

Chapter 2 Challenge

One aspect of geometric thinking is the ability to look at a group of shapes and find some common features that define the group. For example, you know that rectangles are part of the set of figures called quadrilaterals.

 

At some point, you may be asked to classify objects based on examples and non-examples. Look at the two sets of objects below. (“Wamps” is a made-up name.)

Which of the following objects are wamps?

A.   

B. 

C. 

Notice that the wamps are all closed figures. The non-wamps are either open figures or two closed figures joined at a single point. So figures A and C above are wamps.

Look at the two sets of objects below. (“Flupes” is a made-up name.)

 

A. 

B. 

C. 

1.  Create a group of figures with certain characteristics and give them a made-up name. Then create a set of figures that are non-examples for your group. Finally, write a definition for the figures in your group.