## What is a symmetric property?

## What is a symmetric property?

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x .

## What is an example of a symmetric?

Symmetric is something where one side is a mirror image or reflection of the other. An example of symmetric is when you have two cabinets of exactly the same size and shape on either side of your refrigerator.

**What is an example of symmetric property of congruence?**

PROPERTIES OF CONGRUENCE | ||
---|---|---|

Reflexive Property | For all angles A , ∠A≅∠A . An angle is congruent to itself. | These three properties define an equivalence relation |

Symmetric Property | For any angles A and B , if ∠A≅∠B , then ∠B≅∠A . Order of congruence does not matter. |

### Which is an example of the symmetry property of equality?

If you fold a piece of paper in half, and both halves have the exact same shape, then the piece of paper is symmetrical. Each half is the mirror image of the other half.

### What is symmetric in math?

What is symmetric in math? In Mathematics, the meaning of symmetry is that one shape is exactly like the other shape when it is moved, rotated, or flipped.

**How do you prove symmetric property?**

Symmetric Property: if A = B, then B = A. Transitive Property: if A = B and B = C, then A = C. Substitution Property: if A = B and p(A) is true, then p(B) is true. Here, p(A) is just any statement that has A in it, and p(B) is what you get when you replace A with B.

#### What does symmetric mean?

1 : having, involving, or exhibiting symmetry. 2 : having corresponding points whose connecting lines are bisected by a given point or perpendicularly bisected by a given line or plane symmetrical curves.

#### How do you prove symmetric property of congruence?

Theorem 2.1 Properties of Segment Congruence Segment congruence is reflexive, symmetric, and transitive. Reflexive For any segment AB, AB = AB. Symmetric If AB = CD, then CD = AB. Transitive If AB = CD and CD = EF, then AB = EF.

**What is an example of transitive property?**

In math, if A=B and B=C, then A=C. So, if A=5 for example, then B and C must both also be 5 by the transitive property. This is true in—a foundational property of—math because numbers are constant and both sides of the equals sign must be equal, by definition.

## What is symmetrical and asymmetrical?

Symmetrical balance (or Symmetry) means that the work of art is the same on one side as the other, a mirror image of itself, onboth sides of a center line. Asymmetrical balance (or Asymmetry) means that the two halves of the work of art are different, however, try to create balance.