1. What are the ways we can prove triangles congruent? A B C D Angle C is congruent to angle A Angle ADB is congruent to angle CDB BD is congruent to BD A B C D E 1 2 C is the midpoint of AE and BD Angle 1 is congruent to angle 2 A B C D AD is the perpendicular bisector of CB A B C D AB and CD are congruent AD and BC are congruent DB and DB are congruent SSA AAA

2. What are some of the reasons we can use in proofs? Reflexive property of congruence Substitution Vertical angles are congruent SAS, AAS, ASA, SSS Corresponding angles postulate Alternate interior angles theorem Definitions— – Vertical angles – Supplementary angles – Perpendicular – Corresponding angles – Alternate interior angles – Bisect – Midpoint Give an example, definition, picture

3. Complete the proofs

4. Triangle Points of Concurrency Name of Point Types of segment Interesting information Acute triangle Right triangle Obtuse triange

5. Constructions incenter and inscribed circle orthocenter centroid circumcenter and circumscribed circle

6. Triangle Midsegments What is a midsegment? (words and picture)