# What are the four basic properties of equality?

## What are the four basic properties of equality?

Following are the properties of equality:

- Reflexive property of equality: a = a.
- Symmetric property of equality:
- Transitive property of equality:
- Addition property of equality;
- Subtraction property of equality:
- Multiplication property of equality:
- Division property of equality;
- Substitution property of equality:

**What is the definition of properties of equality?**

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. That is, if a, b, and c are real numbers such that a = b, then.

### What are the 8 properties of equality?

Terms in this set (8)

- Substitution Property of Equality.
- Division Property of Equality.
- Multiplication Property of Equality.
- Subtraction Property of Equality.
- Addition Property of Equality.
- Symetric Property of Equality.
- Reflexive Property of Equality.
- Transitive Property of Equality.

**Is a subtraction property of equality?**

The subtraction property of equality states that you can subtract the same quantity from both sides of an equation and it will still balance. If a=5, and b=5, then a=b.

## What is the distributive property of equality?

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.

**What are the properties of equality and congruence?**

There are three very useful theorems that connect equality and congruence. Two angles are congruent if and only if they have equal measures. Two segments are congruent if and only if they have equal measures. Two triangles are congruent if and only if all corresponding angles and sides are congruent.

### What are the four properties of equality?

4 Properties of Equality: Addition Property of Equality. Subtraction Property of Equality. Multiplication Property of equality.

**Are there any constraints on the equality relation?**

Although the semantics of Relational Logic by itself does not constrain the equality relation, the idea of co-referentiality does impose some constraints. For example, we cannot believe a=band b=cand at the same time believe that a≠c. First of all, the equality relation must be reflexive.

## When to write equality in place of equal?

Since equality is such a common relation, in what follows we write equations with the infix operator =, for example writing (f(a)=f(b)) in place of equal(f(a),f(b)). However, this is just syntactic sugar.