melvin-schmidt
Uploaded by
11 SLIDES
242 VUES
110LIKES

Proving Segment Relationships: Proofs and Concepts in Geometry

DESCRIPTION

Explore Chapter 2.7 on proving segment relationships through the Segment Addition Postulate and other concepts. This chapter discusses key example proofs such as the relationship between segments AC, AB, BX, CY, and XD, leading to the conclusion AY = BD. It also examines badge design to illustrate congruence in edges, demonstrating geometric principles. Engage with evidence-based reasoning in segments and perform exercises to reinforce your understanding of congruence and proof completion. Ideal for students seeking to strengthen their grasp on geometric relationships.

1 / 11

Télécharger la présentation

Proving Segment Relationships: Proofs and Concepts in 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. Chapter 2.7 Proving Segment Relationships

  2. Concept

  3. Concept

  4. Proof: Statements Reasons Example 1 Use the Segment Addition Postulate

  5. Prove the following. Given:AC = ABAB = BXCY = XD Prove:AY = BD Example 1

  6. Which reason correctly completes the proof? Proof: Statements Reasons 1. 1. Given AC = AB, AB = BX 2. 2. Transitive Property AC = BX CY = XD 3. 3. Given 4. AC + CY = BX + XD 4. Addition Property 5. 5. ________________ ? AC + CY = AY; BX + XD = BD 6. 6. Substitution AY = BD Example 1

  7. Concept

  8. BADGE Jade is designing a badge for her club. The length of the top edge of the badge is equal to the length of the left edge of the badge. The top edge of the badge is congruent to the right edge of the badge, and the right edge of the badge is congruent to the bottom edge of the badge. Prove that the bottom edge of the badge is congruent to the left edge of the badge. Given: Prove: Example 2 Proof Using Segment Congruence

  9. Prove the following. Given: Prove: Example 2

  10. Which choice correctly completes the proof? Proof: Statements Reasons 1. Given 1. 2. Transitive Property 2. 3. 3. Given 4. Transitive Property 4. ? 5. _______________ 5. Example 2

  11. Try it! • Pg. 147 #1and 2

More Related