# The Quality of Equality Exercises

### Example 1

Give an example of the symmetric property.

### Example 2

If we're given a puppy, what property allows us to say that puppy = puppy?

### Example 3

If ^{A}⁄_{B} = ^{C}⁄_{D}, which statements would make this true?

### Example 4

If *X* = *Y* and *Y* = 3, which properties allow us to say that 3 = *X*?

### Example 5

If *A* = *B* and *X* = *Y*, which properties allow us to say that ?

### Example 6

If *A* = *B*, *B* = *C*, *C* = *D*, *D* = *E*, *E* = *F*, and *F* = *G*, which properties allow us to say that *A*(*B* + *C*) = *DE* + *F**G*?