Flowchart Proofs and Angle Relationships

The video tutorial introduces flowchart proofs as an alternative to two-column proofs, explaining their structure using boxes and arrows. It demonstrates converting a two-column proof into a flowchart proof through an example problem involving supplementary angles and congruence. The tutorial covers the logical steps and properties used in both proof formats, emphasizing the flexibility of flowchart proofs in representing logical arguments.

What is a flowchart proof?

• A proof that is written in paragraph form.

• A proof that uses only text without any diagrams.

• A proof that uses only numbers and equations.

• A proof that uses boxes and arrows to show logical flow.

In a flowchart proof, where are the reasons placed?

• To the left of each statement.

• Below each statement.

• Above each statement.

• To the right of each statement.

What is the given information in the example problem?

• Angle 1 and Angle 3 are supplementary.

• Angle 1 and Angle 2 are supplementary; Angle 3 and Angle 2 are supplementary.

• Angle 1 and Angle 2 are congruent.

• Angle 3 and Angle 1 are congruent.

What is the definition of supplementary angles?

• Angles that are adjacent.

• Angles that add up to 180 degrees.

• Angles that are equal in measure.

• Angles that add up to 90 degrees.

Which property allows us to say that the measure of angle one plus the measure of angle two is equal to the measure of angle three plus the measure of angle two?

• Multiplication Property of Equality

• Transitive Property of Equality

• Subtraction Property of Equality

• Addition Property of Equality

What is the result after subtracting the measure of angle two from both sides of the equation?

• The measure of angle one equals the measure of angle three.

• The measure of angle one equals the measure of angle four.

• The measure of angle one equals the measure of angle two.

• The measure of angle three equals the measure of angle two.

What is the final conclusion of the two-column proof?

• Angle one is supplementary to angle three.

• Angle one is congruent to angle three.

• Angle one is equal to angle two.

• Angle two is congruent to angle three.

In a flowchart proof, does the direction of the flow matter?

• Yes, it must always be horizontal.

• Yes, it must always be vertical.

• No, the direction does not matter.

• Yes, it must always be diagonal.

What is the reason for the statement 'the measure of angle one plus the measure of angle two equals 180 degrees' in the flowchart proof?

• Definition of congruent angles

• Definition of supplementary angles

• Subtraction property of equality

• Transitive property of equality

What is the final statement in the flowchart proof?

• Angle two is congruent to angle three.

• Angle one is congruent to angle three.

• Angle one is equal to angle three.

• Angle one is supplementary to angle three.