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Understanding Triangle Congruence and Solving Quadratic Equations

This guide covers key concepts in geometry and algebra, focusing on triangle congruence and quadratic equations. It explains the use of the SSS criterion for triangle congruence and how corresponding angles are congruent via CPCTC. Additionally, it introduces the quadratic equation in standard form, provides methods for solving it (factoring and using the quadratic formula), and illustrates with an example. Perfect for students looking to enhance their understanding of these fundamental math concepts.

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Understanding Triangle Congruence and Solving Quadratic Equations

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  1. 8. 9. 12. ST = VW = RT = UW = √10; RS = UV = 2√5; so ΔRST ΔUVW by SSS so RST  UVW by CPCTC 17. 14 24. C 18. 21 25. G 20. 26. C 27. G 36. (x, y) → (x – 3, y – 4) 37. Yes, B  D, BC  DC Vert s Thm, BCA  DCE 22. Yes, ΔJKM ΔLMK by SSS, so JKM LMK by CPCTC. JK║ML by Converse of Alt Int s Thm

  2. Quadratic Equation – equation that can be written in the form ax2 + bx + c = 0 Two ways to solve, right now. 1. Factor and set = 0 2. Quadratic formula

  3. Given: FE = FG 18 x2 – 3x 1x2 – 3x – 18 = 0 1 a – 3 b – 18 c x2 – 3x = 18 x2 – 3x – 18 = 0 (x – 6)(x + 3) = 0 x – 6 = 0 x + 3 = 0 x = 6 x = – 3

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