Lesson 2-7

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# Lesson 2-7 - PowerPoint PPT Presentation

## Lesson 2-7

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1. Lesson 2-7 Proving Segment Relationships

2. Ohio Content Standards:

3. Ohio Content Standards: Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.

4. Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

5. Ohio Content Standards: Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof.

6. Postulate 2.8Ruler Postulate

7. Postulate 2.8Ruler Postulate The points on any line or line segment can be paired with real numbers so that, given any two points A and B on a line, A corresponds to zero, and B corresponds to a positive real number.

8. Postulate 2.9Segment Addition Postulate

9. Postulate 2.9Segment Addition Postulate If B is between A and C, then AB + BC = AC.

10. Postulate 2.9Segment Addition Postulate If B is between A and C, then AB + BC = AC. If AB + BC = AC, then B is between A and C.

11. Theorem 2.2Segment Congruence

12. Theorem 2.2Segment Congruence Congruence of segments is reflexive, symmetric, and transitive. .

13. Theorem 2.2Segment Congruence Congruence of segments is reflexive, symmetric, and transitive. Reflexive Property AB AB .

14. Theorem 2.2Segment Congruence Congruence of segments is reflexive, symmetric, and transitive. Symmetric Property If AB CD, then CD AB. .

15. Theorem 2.2Segment Congruence Congruence of segments is reflexive, symmetric, and transitive. Transitive Property If AB CD, and CD EF, then AB EF. .

16. Prove the following.Given: WY = YZ YZ XZ XZ WXProve: WX WY 3 cm Y Z 3 cm W X

17. Assignment:Pgs. 104 - 106 12-20 all, 32-44 evens