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Understanding Congruence in Triangles: Corresponding Parts and Properties

This resource explores the concept of congruence in triangles, focusing on corresponding sides and angles. It emphasizes the importance of label order when identifying congruent parts. The guide includes examples involving trapezoids and triangles, demonstrating how to solve problems based on congruence. It highlights key properties, such as congruent angles leading to congruent triangles, ensuring clarity in identifying congruent sides with proper notation. Ideal for students learning geometry and teachers wanting to reinforce these concepts.

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Understanding Congruence in Triangles: Corresponding Parts and Properties

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  1. 4.2 Congruence and Triangles

  2. Corresponding Parts – matching up sides & angles G F B C H A D E Name the corresponding Sides (Letter order matters): Name the corresponding Angles:

  3. Congruent Parts – Equal or exactly the same corresponding parts (shown by the same markings)*When all angles and sides are congruent the figures are congruent! G F B C H A D E Given that trapezoid ABCD is congruent to trapezoid EFGH. Label thefollowing; letter order matters! Congruent Sides: Congruent Angles:

  4. Important Property! • If the first two angles are congruent then so are the third!

  5. ARE THESE 2 TRIANGLES CONGRUENT?

  6. Example:Given that the two triangles are congruent, solve for x: 22o (4x+15)o 87o

  7. Ex: ABCD is  to HGFE, find x and y. F E 9cm B (5y-12)o A 91o 86o H G 113o 4x-3cm D C

  8. Letter order matter when writing congruent statements; be sure that corresponding letter match up! D C A B F E or

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