Introduction to Proof Flashcards

Questions and Answers

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

In a paragraph proof, statements and their justifications are written in sentences in a logical order. (correct)

A flowchart proof includes a logical series of statements in boxes with connecting arrows. (correct)

A two-column proof consists of a list of statements and the reasons the statements are true. (correct)

A paragraph proof is a two-column proof in sentence form. (correct)

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

AK + BK = AC

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

reflexive

What does a two-column proof contain?

<p>A table with a logical series of statements and reasons that reach a conclusion.</p> Signup and view all the answers

What does a paragraph proof contain?

<p>A set of sentences explaining the steps needed to reach a conclusion.</p> Signup and view all the answers

Study Notes

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.

Description

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.