Transitive, reflexive, symmetric properties

Real Number Properties in Proofs.

nothing to it but to do it!

Multiple Choice

Choose the statement that is reflexive

• 2x = 10

• RT = RT

• I love geometry

Multiple Select

Choose all statements that show reflexive statements

• $4=8\div2$

• $\angle CAT\cong\angle CAT$

• $\angle1=\angle2$

• $b=b$

Poll

I think I understand this.

• maybe

• lost,lost,lost

Multiple Choice

Choose the statement that is symmetric.

• if 2x = 10, then 10 = 2x

• RT = RT

• I love proofs.

Multiple Select

Choose all statements that show symmetric statements

•  $\ if\ 4=8\div2,\ then\ 8\div2=4$ 

• $\angle CAT\cong\angle CAT$

•  $if\ m\angle1\ +m\angle2\ =\ 90\circ\ ,\ then\ 90\circ\ =\ m\angle1\ +m\angle2\ \$ 

Poll

The symmetric property makes sense to me.

Multiple Choice

Which of these is an example of the transitive property?

Multiple Select

Which of these are examples of transitive property?

• if M = N then N = M

• R+T =180 , J +K = 180, so R+T= J+K

• x = y and p = y so p = x

• J=K, K=R so J=R

Think about this:

Put the words symmetric, reflexive and transitive in alphabetical order. You can just use the first letters if it is easier.

1. reflexive

2. symmetric

3. transitive

Now think about how many terms are used in each of the 3 properties

So How many terms in each property?

Reflexive has ONE term and 1 statement a = a

Symmetric has TWO terms and 2 statements if a = b, then b=a

Transitive has THREE terms and 3 statements, if a=b and b=c, then a=c

Multiple Choice

3 = 3

• reflexive

• symmetric

• transitive

• none of these

Multiple Choice

3 = 5x

• reflexive

• symmetric

• transitive

• none of these

Multiple Choice

if ST=XY, then XY =ST

• reflexive

• symmetric

• transitive

• none of these

Multiple Choice

 $\angle CAT\cong\angle DOG$  

• reflexive

• symmetric

• transitive

• none of these

Multiple Choice

 $\angle CAT\cong\angle DOG,\ \angle DOG\ \cong PIG\ then\ \angle CAT\ \equiv PIG$  

• reflexive

• symmetric

• transitive

• none of these

Multiple Choice

AB = QT and JK = MN

• Reflexive

• Symmetric

• Transitive

• None of these

Multiple Choice

 $if\ 4x+2\ =\ AB\ \$ and  $AB\ =JK\ ,\ then\ JK\ =4x+2$   

• reflexive

• symmetric

• transitive

• none of these