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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
GT Geometry Drill 12/6/11

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

1.

2.



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.


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 For example, you can name polygon

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


Congruent figures diagram
Congruent figures-diagram For example, you can name polygon

  • Name the congruent triangles

  • ∆CAT ∆DOG

G

A

D

O

C

T


Since cat dog corresponding parts are

DO For example, you can name polygon

OG

DG

D

O

G

CA

AT

CT

C

A

T

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


Prove
PROVE For example, you can name polygon

  • 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 For example, you can name polygon  ABProve: ∆ABC  ∆ CDA

D

C

A

B


Proof

Statement For example, you can name polygon

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 ST For example, you can name polygon Prove: ∆RSV  ∆ UTV

R

S

V

U

T


Proof1

Statement For example, you can name polygon

Reason

Proof


Aas theorem
AAS THEOREM For example, you can name polygon

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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