daily warm-up

Proving Geometric Relationships Notes 2.6 Goals: Write flowchart proofs to prove geometric relationships Write paragraph proofs to prove geometric relationships

Flowchart Proofs Uses boxes and arrows to show the flow of a logical argument. The corresponding reason is below the boxed statement.

example 1

you try #1

Congruent Supplements Theorem If two angles are supplementary to the same angle (or to congruent angles), then they are congruent. in other words… if and are supplementary and and are supplementary, then

Congruent Complements Theorem If two angles are complementary to the same angle (or to congruent angles), then they are congruent. in other words… if and are complementary and and are complementary, then

example 2 Statement Reason 1. 2. 3. 4. 5.

Paragraph Proofs Presents statements & reasons of a proof as sentences in a paragraph. Use words to explain the logical flow.

Linear Pair Postulate Postulate 2.8 If two angles form a linear pair, then they are supplementary. in other words… and form a linear pair, so and are supplementary and

Vertical Angles Congruence Theorem Vertical Angles are congruent. in other words…

example 3

example 4 Find the value of x. Justify your steps. Statements Reasons

you try 2. In the diagram, . Find the other three angle measures. 3. Find the value of w.