1. daily warm-up

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

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

4. example 1

5. you try #1

6. 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

7. 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

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

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

10. 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

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

12. example 3

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

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