G8 Congruent Segments and Angles_ii.pptx

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1. Assessment #1

2. Directions: Give what is asked in the following conditions. Write your answer in 1/2 crosswise. (2 points each)

3. 1. Name the top plane 2. Name the bottom plane 3. Name 3 sets of coplanar lines 4. Name 5 sets of collinear points

4. Congruent Segments and Angles

5. A. Proving Segment Relationship Name Property Illustration Definition of Congruent Segments If the two segments have the same length, then they are congruent. Name Property Illustration Definition of Congruent Segments If the two segments have the same length, then they are congruent.

6. Name Property Illustration Definition of Midpoint If a point on the segment equidistant from the two endpoints of the segment, then the point is the midpoint of the segment. Name Property Illustration Definition of Midpoint If a point on the segment equidistant from the two endpoints of the segment, then the point is the midpoint of the segment. A. Proving Segment Relationship

7. Name Property Illustration Definition of Segment Bisector The geometric figure that contains the midpoint of the segment. A. Proving Segment Relationship D A C B E

8. Name Property Illustration Segment Addition Postulate If a point X is between points P and Q which are collinear, then Name Property Illustration Segment Addition Postulate A. Proving Segment Relationship

9. Examples: Prove the following. Given: EF = GH Prove:     STATEMENTS REASON 1. 2. 2.

10. Examples: Prove the following. 2. Given: F is the midpoint of Prove:   STATEMENTS REASON 1 . 1. 2. 2. STATEMENTS REASON 1 . 1. 2.  

11. Examples: Prove the following. 3. Given: Line GI bisects Prove:   STATEMENTS REASON 1. 1. 2. 2. STATEMENTS REASON 1. 1. 2. J F H G I

12. Examples: Prove the following. 3. Given: Line GI bisects Prove:   STATEMENTS REASON 1. Line GI bisects 1. Given 2. 2. Def. of Segment Bisector STATEMENTS REASON 1. Given 2. Def. of Segment Bisector J F H G I

13. Examples: Prove the following. 4. Given: B is the midpoint of Prove   STATEMENTS REASON 1. 2. 2. STATEMENTS REASON 1. 2.  

14. Name Property Illustration Definition of Congruent Angles If angles are equal, then they are congruent. B. Proving Angle Relationship

15. Name Property Illustration Vertical Angle Theorem Vertical angles are congruent. B. Proving Angle Relationship

16. Name Property Illustration Definition of Angle Bisector bisects ∠𝐵𝐴𝐶 if D is the interior angles of ∠𝐵𝐴𝐶 and 𝑚∠𝐵𝐴𝐷 is equal to 𝑚∠𝐷𝐴𝐶 Name Property Illustration Definition of Angle Bisector B. Proving Angle Relationship

17. Name Property Illustration Angle Addition Postulate If D is in the interior of ∠𝐵𝐴𝐶, then Name Property Illustration Angle Addition Postulate B. Proving Angle Relationship

18. Examples: Prove the following. 1 . Given: Prove:   X Y Y Z J K L 45   45   STATEMENTS REASON 1. 2. 2. STATEMENTS REASON 2.

19. Examples: Prove the following. 2 . Given: are vertical angles Prove:   STATEMENTS REASON 1. 2. 2. STATEMENTS REASON 1. 2.

20. Examples: Prove the following. 3 . Given: bisects Prove:   STATEMENTS REASON 1. 2. 2. STATEMENTS REASON 1. 2.

21. Examples: Prove the following. 4 . Given: is in the interior Prove:   STATEMENTS REASON 1. 1. 2. 2. STATEMENTS REASON 1. 2.