Gt geometry drill 12 6 11
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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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Gt geometry drill 12 6 11

GT Geometry Drill 12/6/11

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

1.

2.


Gt geometry drill 12 6 11

4.


Geometry objective

Geometry Objective

  • STW continue to prove triangle congruent


Vocabulary

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.


Gt geometry drill 12 6 11

Helpful Hint

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

For example, P and Q are consecutive vertices.


Gt geometry drill 12 6 11

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.


Gt geometry drill 12 6 11

Helpful Hint

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


Congruent figures diagram

Congruent figures-diagram

  • Name the congruent triangles

  • ∆CAT ∆DOG

G

A

D

O

C

T


Since cat dog corresponding parts are

DO

OG

DG

D

O

G

CA

AT

CT

C

A

T

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


Prove

PROVE

  • GIVEN: line j | k

  • ∆ABC ∆FBE

E

A

j

k

B

C

F


Given ab dc dc ab prove abc cda

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

D

C

A

B


Proof

Statement

AC  AC

< BAC  _______

∆ABC  ∆CDA

Reason

Given

____________

If_________ ____________

____________

Proof


Given rs st tu st v is the midpoint of st prove rsv utv

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

R

S

V

U

T


Proof1

Statement

Reason

Proof


Aas theorem

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.


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