Properties

Properties

Today we are going to learn about 3 properties:

Reflexive

Symmetric

Transitive

What does the Reflexive Property Say?

Reflexive Property

Reflexive Property

Multiple Select

Which of the following statements gives an example of the reflexive property?

• a = b = c

• b = b

• If a=a, then b=b

Symmetric Property

Symmetric Property

The Symmetric Property

Allows you to

flip

what is on one side of the "=" with what is on the other side.

If a = b then b = a

In numbers, that would look like:

if 2 + 1 = 3, then 3 = 2 + 1

Multiple Choice

Which Property is shown by:

If ab = xy, then xy = ab?

• Reflexive

• Symmetric

• None

Multiple Choice

Which Property is shown by:

If 5 = 10/2, then 10/2 = 5

• Reflexive

• Symmetric

• None

Multiple Choice

Which Property is shown by:

xy = xy

• Reflexive

• Symmetric

• None

Multiple Choice

Which Property is shown by:

If s = t, then t = v

• Reflexive

• Symmetric

• None

Multiple Choice

Which Property is shown by:

q = q

• Reflexive

• Symmetric

• None

Transitive Property

The transitive property

IN COLORS

IF O = O

AND.......... O = O

THEN O ==== O

Transitive Property

Multiple Choice

Which properties, if any, are shown by these statements?

xy = xy

• reflexive

• symmetric

• transitive

• none

Multiple Choice

Which properties, if any, are shown by these statements?

If x = y, and y = z, then x = z

• reflexive

• symmetric

• transitive

• none

Multiple Choice

Which properties, if any, are shown by these statements?

If a = b, and b = c, then b = d

• reflexive

• symmetric

• transitive

• none

Multiple Choice

Which properties, if any, are shown by these statements?

If xy = 7, then 7 - xy

• reflexive

• symmetric

• transitive

• none

Multiple Choice

Which properties, if any, are shown by these statements?

If 4 = 8/2, and 8/2 = 10-6, then 4 = 10-6

• reflexive

• symmetric

• transitive

• none

Good Job!