Respuesta :
Answer:
Proof: A logical argument showing that a theorem is true.
Axiom: A given definition assumed to be true.
Theorem: A statement that requires proof
Step-by-step explanation:
The matching of the boxes with their corresponding titles and sentences are;
Proof - A logical argument showing that a theorem is true.
Axiom - A given definition assumed to be true.
Theorem - A statement that requires proof.
The titles given in the tiles are;
- Theorem
- Axiom
- Proof
The sentences given for the titles are;
- A given definition assumed to be true.
- A statement that requires proof.
- A logical argument showing that a theorem is true.
- Now, in mathematics, a theorem is simply a general statement about a certain topic or sub topic that will have to be proved. For example, the SAS Congruency theorem is a statement about congruent triangles that have corresponding 2 sides and an included angle but we will have to show a proof that the triangles are actually congruent.
- Secondly, a proof is what explains a theorem to be true. In order words it is a logical argument that shows us that the theorem is true or valid.
- Thirdly, an Axiom is simply a definition that we will assume to be true based on research of that particular topic and so it is often used as a basis to start an argument or a research.
Read more about proofs, axioms and theorems at; https://brainly.com/question/4709059
