1 / 14

Geometry

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,

rama-wheeler
Télécharger la présentation

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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry 2.2 Properties of Equality: POE’s & Properties of Congruence: POC’s

  2. 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

  3. 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

  4. Multiplication POE • If a = b, then ca = cb • ¾ = 0.75, thus 100(¾) = 100(0.75)

  5. 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

  6. 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

  7. Distributive POE • a(b + c) = ab + ac • 5(x + 3) = 5x + 15

  8. Reflexive • Reflexive POE a = a • Reflexive POC and

  9. Symmetric • Symmetric POE If a = b, then b = a • Symmetric POC If , then If , then

  10. Transitive Property • Transitive POE If a = b, and b = c, then a = c • Transitive POC If , and then If , and then

  11. 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

  12. 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)

  13. . 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

  14. Homework • 2.2 CE #12 WE #1-11

More Related