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Geometric Theorems and Proofs Guide

This guide provides step-by-step explanations of various geometric theorems and proofs, helping you master essential concepts in geometry. Improve your understanding with clear examples and answers to practice questions.

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Geometric Theorems and Proofs Guide

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  1. Chapter 4 Review

  2. B Y X R A E # 1 ABY _________ by _____ AB  EB BX  BY

  3. I J G O E # 2 OJI _________ by _____ EIO is isosceles with base OE I is the midpoint of GJ GE GJ OJ GJ

  4. S B A I C # 3 SBA _________ by _____ A is the midpoint of BC IC BC BC SB

  5. W A T E R S # 4 WAE _________ by _____ WA RS A  R RT  AE

  6. E S N O W # 5 WOE _________ by _____ ∆SEW is an isosceles with vertex SEW SEO  NEW

  7. A P Y # 6 A square and a regular pentagon are placed to share a common side. Find: m PAY= ____ m APY= ____

  8. F I R E D # 7 Given: ∆IFR is isosceles with base IF ∆ERD is isosceles with base ED Prove: FE  ID

  9. 48˚ x # 8 Find x _________

  10. T E A P # 9 TPE _________ by _____ TP bisects AE TP bisects ATE

  11. V P O A R # 10 Given: AO VR P is the midpoint of AO VO  RA Prove: RAP VOP

  12. x + 1 x2 – x – 2 3x – 5 # 11 x= _____

  13. Answers • EBX by SAS • EGI by HL • ICA by LA • SRT by AAS • SNE by ASA • PAY = 162, APY = 9 • Proof • 33° • None • Proof • x = 3 (only)

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