1 / 10

2.4 Reasoning with Properties from Algebra

2.4 Reasoning with Properties from Algebra. Algebraic Properties of Equality. Addition property: If a=b, then a+c = b+c. Subtraction property: If a=b, then a-c = b-c. Multiplication property: If a=b, then ac = bc. Division property: If a=b, and c≠0, then a/c = b/c. Writing reasons.

keilah
Download Presentation

2.4 Reasoning with Properties from Algebra

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. 2.4 Reasoning with Properties from Algebra

  2. Algebraic Properties of Equality • Addition property: If a=b, then a+c = b+c. • Subtraction property: If a=b, then a-c = b-c. • Multiplication property: If a=b, then ac = bc. • Division property: If a=b, and c≠0, then a/c = b/c.

  3. Writing reasons GIVEN Subtraction Property of Equality Addition Property of Equality Division Property of Equality

  4. Solve • Solve 5x – 18 = 3x + 2 and explain each step in writing. 5x – 18 = 3x + 2 2x – 18 = 2 2x = 20 x = 10 Subtraction p. of e. Addition p. of e. Division p. of e.

  5. More properties of equality • Reflexive property: For any real number a, a=a. • Symmetric property: If a=b, then b=a. • Transitive property: If a=b and b=c, then a=c. • Substitution property: If a=b, then a can be substituted for b in any equation or expression.

  6. Writing Reasons Given Distr. Property Combine Like Terms Add POE Div POE

  7. Properties of Equality

  8. A B C D Given AB=CD, show that AC=BD Statements Reasons AB=CD Given AB + BC = CD + BC Addition Prop of Equality Segment Addition Postulate AB + BC = AC Segment Addition Postulate BC + CD = BD AC = BD Substitution Prop of Equality

  9. Given: 4 2 3 1 Find:

  10. Review • Let p be “a shape is a triangle” and let q be “it has an acute angle”. • Write the contrapositive of p q. • Write the inverse of p q.

More Related