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Geometry 4.1 Congruent Figures Congruent Figures • Two objects are congruent ( the same size and shape ) if they have • Two figures are congruent if and only if their vertices can be matched up so that corresponding parts (angles and sides) of the figures are congruent. • When writing which figures are congruent, be sure to write the vertices in the same order. A R B C Triangle ABC S T Triangle RST A R B C Triangle ABC S T Triangle RST D A B M J C Quadrilateral ABCD K L Quadrilateral JKLM D A B M J C Quadrilateral ABCD K L Quadrilateral JKLM Congruent Figures • Sometimes you have to change the position of the figures to match up vertices • Practice “spinning” and “sliding” the figures mentally SPIN and SLIDE Defn. of Congruent Triangles • Two triangles are congruent ( ) if and only if their vertices can be matched up so that the corresponding parts (angles and sides) of the triangles are congruent. A E D B C F Defn. of Congruent Triangles • Two triangles are congruent ( ) if and only if their vertices can be matched up so that the corresponding parts (angles and sides) of the triangles are congruent. ∆ ABC ∆ DEF 7 C AB BC B C E F CA D E 7 7 B 7 D 7 A A 7 The order must match. F DE EF FD CPCTC • When the definition of congruent triangles is used in a proof, use the wording: “corresponding parts of congruent triangles are congruent” CPCTC Name 3 pairs of corresponding sides. M Name 3 pairs of corresponding angles. Is it correct to say MAN BOY ? A B O N Y Complete the statements given ABO CDO . . DOC __________ BAO __________ AB __________ CO __________ AOB __________ D C O Why is AB DC ? A B B I G T Name the coordinates of B, I, and G. Name the coordinates of a point D, such that . BIG DIG Name the coordinates of a point O, such that . BIG TOP P Homework • pg. 120 #1-6, 10-13, (15-21 odd) • Makeups next week are Wednesday after school • Graphing Calculator?