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4.1 Congruent Figures

4.1 Congruent Figures. Chapter 4 Congruent Triangles. 4.1 Congruent Figures. Congruent Figures: Same size and same shape Congruent Polygons: Have Congruent Corresponding Parts Always list corresponding vertices in the same order. Naming Congruent Parts.

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4.1 Congruent Figures

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  1. 4.1 Congruent Figures Chapter 4 Congruent Triangles

  2. 4.1 Congruent Figures • Congruent Figures: Same size and same shape • Congruent Polygons: Have Congruent Corresponding Parts • Always list corresponding vertices in the same order

  3. Naming Congruent Parts • Δ TJD = Δ RCF. List the corresponding parts: F T C J Corresponding Angles: <T = <J = <D = Corresponding Sides: TJ = JD = TD = D R Example 2, pg 181

  4. Finding Congruent Triangles • Decide whether the triangles are congruent. Justify your answer. E 3 B 4 D C 4 3 < A = < E A

  5. Finding Congruent Triangles • Can you conclude that ΔJKL = ΔMNL? J Given: <J = <M and <K = <N N L M K

  6. Theorem 4-1: • If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. D A Given: <A = <D Conclude: <C = <F B E C F

  7. Proving Triangles Congruent • Use the information in the diagram. Give a reason why each statement is true. P <Q = < S <QPR = <SPR QP = SP, QR = SR PR = PR <Q = <S, <QPR = <SPR <QRP = <SRP ΔPQR = ΔPSR Q S R

  8. Proving Triangles Congruent • Show how you can conclude that the triangles are congruent: D A C E Given: <A = <E and <B = <D B

  9. Homework • Pg 182 3-13 and 16-28, 38-41, 44

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