GT Geometry Drill 12/6/11

1. GT Geometry Drill 12/6/11 Which postulate, if any, can be used to prove the triangles congruent? 1. 2.

2. 4.

3. Geometry Objective • STW continue to prove triangle congruent

4. Vocabulary • Congruent Polygons-Two polygons are congruent if and only if their vertices can be matched up so that corresponding sides and angles are congruent.

6. Helpful Hint Two vertices that are the endpoints of a side are called consecutive vertices. For example, P and Q are consecutive vertices.

7. To name a polygon, write the vertices in consecutive order. For example, you can name polygon PQRS as QRSP or SRQP, but not as PRQS. In a congruence statement, the order of the vertices indicates the corresponding parts.

8. Helpful Hint When you write a statement such as ABCDEF, you are also stating which parts are congruent.

9. Congruent figures-diagram • Name the congruent triangles • ∆CAT ∆DOG G A D O C T

10. DO OG DG D O G CA AT CT C A T SINCE, ∆CAT  ∆DOG Corresponding parts are .......

11. PROVE • GIVEN: line j | k • ∆ABC ∆FBE E A j k B C F

12. Given: AB || DC; DC  ABProve: ∆ABC  ∆ CDA D C A B

13. Statement AC  AC < BAC  _______ ∆ABC  ∆CDA Reason Given ____________ If_________ ____________ ____________ Proof

14. Given: RS ST; TU ST; V is the midpoint of STProve: ∆RSV  ∆ UTV R S V U T

15. Statement Reason Proof

16. AAS THEOREM If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle then the triangles are congruent.