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Take papers from your folder and put them in your binder.PowerPoint Presentation

Take papers from your folder and put them in your binder.

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Honors Geometry 14 Nov 2011

Take papers from your folder and put them in your binder.

Place your binder, HW and text on your desk.

YOUR FOLDERS SHOULD BE EMPTY

EXCEPT FOR YOUR WARM UP PAPER and current day’s classwork

Warm-up- silently please

1)read page 232.

Answer in a complete sentence on your warm–up paper:

what does CPCTC mean?

2)do pg. 230, # 11

Objective

Students will review congruency shortcuts and use CPCTC to prove congruency

Students will view a powerpoint presentation, take notes and work independently and with their group to solve problems.

none

Homework due Nov. 15

P1- extension-pg. 224: 1-21 odds

Pg. 229: 2 – 20 evens

TEST- Nov 16/17

Study: constructions, isosceles triangle properties, triangle sum, triangle inequalities, triangle congruency shortcuts

- AB DE
- BC EF
- AC DF
- A D
- B E
- C F

B

A

C

E

F

D

In previous lessons, you learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent.

ABC DEF

Warning: No SSA Postulate

There is no such thing as an SSA postulate!

E

B

F

A

C

D

NOT necessarily CONGRUENT

Warning: No AAA Postulate

There is no such thing as an AAA postulate!

E

B

A

C

F

D

NOT necessarily CONGRUENT

- SSS correspondence
- ASA correspondence
- SAS correspondence
- AAS correspondence
- SSA correspondence
- AAA correspondence

The Congruence Postulates

(when possible)

take notes…

Vertical Angles

Reflexive Property

SAS

SAS

Reflexive Property

Vertical Angles

SSA

SAS

CW: Name That Postulate

(when possible)

CW: Name That Postulate

(when possible)

ACFE

Indicate the additional information needed to enable us to apply the specified congruence postulate.

For ASA:

B D

For SAS:

AF

For AAS:

Indicate the additional information needed to enable us to apply the specified congruence postulate.

For ASA:

For SAS:

For AAS:

This powerpoint was kindly donated to www.worldofteaching.com

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F

That means that EG CB

A

E

What is AC congruent to?

FE

G

C

Corresponding partsWhen you use a shortcut (SSS, AAS, SAS, ASA, HL) to show that 2 triangles are ,

that means that ALL the corresponding parts are congruent.

EX: If a triangle is congruent by ASA (for instance), then all the other corresponding parts are .

Corresponding parts of congruent triangles are congruent.

Corresponding parts of congruent triangles are congruent.

Corresponding parts of congruent triangles are congruent.

Corresponding parts of congruent triangles are congruent.

Corresponding Parts of Congruent Triangles are Congruent.

If you can prove congruence using a shortcut, then you KNOW that the remaining corresponding parts are congruent.

CPCTC

You can only use CPCTC in a proof AFTER you have proved congruence.

AC DF Given

⦟C ⦟ F Given

CB FE Given

ΔABC ΔDEF SAS

AB DE CPCTC

For example:A

Prove: AB DE

B

C

D

F

E

BC DA,BC AD

ABCCDA

STATEMENTS

REASONS

S

BC DA

Given

Given

BC AD

BCADAC

A

Alternate Interior Angles Theorem

S

ACCA

Reflexive Property of Congruence

EXAMPLE 2

Use the SAS Congruence Postulate

CW: Write a proof.

GIVEN

PROVE

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