## Related Words

# Postulate

## Definition of Postulate

Postulate is a true statement, which does not require to be proved.

### More About Postulate

Postulate is used to derive the other logical statements to solve a problem.

Postulates are also called as axioms.

### Example of Postulate

To prove that these triangles are congruent, we use SSS postulate, as the corresponding sides of both the triangles are equal.

### Video Examples: The five postulates of Euclidean Geometry

### Solved Example on Postulate

**Ques: **State the postulate or theorem you would use to prove that ∠1 and ∠2 are congruent.

##### Choices:

- A. corresponding angles postulate
- B. converse of corresponding angles postulate
- C. alternate angles are congruent
- D. adjacent angles are congruent

Correct Answer: A

### Solution:

- Step 1: ∠1 and ∠2 corresponding angles.
- Step 2: Since the lines a and b are parallel, ∠1 and ∠2 are congruent. [Corresponding angles postulate.]
- Step 3: So, corresponding angles postulate is used to prove that ∠1 and ∠2 are congruent.

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