Introduction to Proof Flashcards

Which are correct statements regarding proofs? (Select all that apply)

Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?

Segment AB is congruent to segment AB. This statement shows the __________ property.

What does a two-column proof contain?

What does a paragraph proof contain?

Proof Basics

Proofs can be presented in various formats, including paragraph, two-column, and flowchart proofs.
A paragraph proof is a sequence of statements and justifications written in complete sentences, logically structured.
A two-column proof consists of statements on one side and corresponding reasons or justifications on the other.
A flowchart proof visually represents logical steps with boxes for statements and arrows indicating connections.

Midpoints in Geometry

If D is the midpoint of segment AB and K is the midpoint of segment BC, then it must hold that ( AK + BK = AC ).

Properties of Congruence

The statement "Segment AB is congruent to segment AB" illustrates the reflexive property, which asserts that any segment is congruent to itself.

Characteristics of Proof Formats

A two-column proof features a structured table layout, drawing direct links between statements and their logical reasons leading to a final conclusion.
A paragraph proof communicates the necessary steps to reach a conclusion through clear and explanatory sentences.

Test your understanding of different types of proofs with these flashcards. Each card presents statements about proofs that you need to evaluate for correctness. This resource is perfect for students looking to strengthen their knowledge in logic and proof techniques.