4.1 Congruent Figures Chapter 4 Congruent Triangles.

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Presentation transcript:

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

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

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

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

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

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

Homework Pg and 16-28, 38-41, 44