Geometry
Sponsored Links
This presentation is the property of its rightful owner.
1 / 14

Geometry PowerPoint PPT Presentation


  • 82 Views
  • Uploaded on
  • Presentation posted in: General

Geometry. 2.2 Properties of Equality: POE’s & Properties of Congruence: POC’s. Addition POE. If a = b and c = d, then a + c = b + d ½ = 0.5 and 2 = 2.0, thus ½ + 2 = 0.5 + 2.0. Subtraction POE. If a = b and c = d, then a - c = b - d 10 = 10.0 and ¼ = 0.25,

Download Presentation

Geometry

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Geometry

2.2

Properties of Equality: POE’s

&

Properties of Congruence: POC’s


Addition POE

  • If a = b and c = d,

    then a + c = b + d

  • ½ = 0.5 and 2 = 2.0,

    thus ½ + 2 = 0.5 + 2.0


Subtraction POE

  • If a = b and c = d,

    then a - c = b - d

  • 10 = 10.0 and ¼ = 0.25,

    thus 10 – 1/4 = 10.0 – 0.25


Multiplication POE

  • If a = b,

    then ca = cb

  • ¾ = 0.75,

    thus 100(¾) = 100(0.75)


Division POE

  • If a = b and c 0,

    then a/c = b/c

  • 8 = 8.0 and 2 0,

    thus 8/2 = 8.0/2


Substitution POE

  • If a = b,

    then either a or b may be substituted for the other in an equation or inequality.

  • If x = 5,

    then (x) + 10 = (5) + 10


Distributive POE

  • a(b + c) = ab + ac

  • 5(x + 3) = 5x + 15


Reflexive

  • Reflexive POE

    a = a

  • Reflexive POC

    and


Symmetric

  • Symmetric POE

    If a = b, then b = a

  • Symmetric POC

    If , then

    If , then


Transitive Property

  • Transitive POE

    If a = b, and b = c, then a = c

  • Transitive POC

    If , and then

    If , and then


A Few Together

  • Please turn to page 40. Let’s try #1-10.

  • Reflexive POE

  • Transitive POE

  • Symmetric POE

  • Subtraction POE

  • Division POE

  • Multiplication POE

  • Distributive POE

  • Addition POE

  • Substition POE

  • Transitive POE


1) 2/3B = 8 – 2B

2) 2B = 3(8 – 2B)

3) 2B = 24 – 6B

4) 8B = 24

5) B = 3

1) Given

2) Mult. POE

3) Distr. POE

4) Add. POE

5) Div. POE

5) Justify each step(from the HW)


.

S

.

I

.

T

1) ST = RN

2) ST = SI + IT

RN = RU + UN

3) SI + IT = RU + UN

4) IT = RU

5) SI = UN

1) Given

2) Segment Add. Post.

3) Subst. POE

4) Given

5) Subtr. POE

CE 12) Complete the ProofGiven ST = RN; IT = RUProve: SI = UN

.

R

.

U

.

N


Homework

  • 2.2 CE #12 WE #1-11


  • Login