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GT Geometry Drill 12/6/11 - PowerPoint PPT Presentation

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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Presentation Transcript

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

1.

2.

• STW continue to prove triangle congruent

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

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 For example, you can name polygon

• Name the congruent triangles

• ∆CAT ∆DOG

G

A

D

O

C

T

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 For example, you can name polygon

• GIVEN: line j | k

• ∆ABC ∆FBE

E

A

j

k

B

C

F

Given: AB || DC; DC For example, you can name polygon  ABProve: ∆ABC  ∆ CDA

D

C

A

B

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

R

S

V

U

T

Statement For example, you can name polygon

Reason

Proof

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.