GT Geometry Drill 12/6/11. Which postulate, if any, can be used to prove the triangles congruent?. 1. 2. 4. Geometry Objective. STW continue to prove triangle congruent. Vocabulary.

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GT Geometry Drill 12/6/11

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Which postulate, if any, can be used to prove the triangles congruent?

1.

2.

4.

Geometry Objective

STW continue to prove triangle congruent

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.

Helpful Hint

Two vertices that are the endpoints of a side are called consecutive vertices.

For example, P and Q are consecutive vertices.

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.

Helpful Hint

When you write a statement such as ABCDEF, you are also stating which parts are congruent.

Congruent figures-diagram

Name the congruent triangles

∆CAT ∆DOG

G

A

D

O

C

T

DO

OG

DG

D

O

G

CA

AT

CT

C

A

T

SINCE, ∆CAT ∆DOG Corresponding parts are .......

PROVE

GIVEN: line j | k

∆ABC ∆FBE

E

A

j

k

B

C

F

Given: AB || DC; DC ABProve: ∆ABC ∆ CDA

D

C

A

B

Statement

AC AC

< BAC _______

∆ABC ∆CDA

Reason

Given

____________

If_________ ____________

____________

Proof

Given: RS ST; TU ST; V is the midpoint of STProve: ∆RSV ∆ UTV

R

S

V

U

T

Statement

Reason

Proof

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.