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Geometry

Geometry. 4.1 Congruent Figures. Congruent Figures. Two objects are congruent ( ) if they have the same size and shape 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.

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Geometry

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  1. Geometry 4.1 Congruent Figures

  2. Congruent Figures • Two objects are congruent ( ) if they have the same size and shape • 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.

  3. A R B C S T Triangle ABC Triangle RST

  4. A R B C S T Triangle ABC Triangle RST

  5. D M A J B C K L Quadrilateral ABCD Quadrilateral JKLM

  6. D M A J B C K L Quadrilateral ABCD Quadrilateral JKLM

  7. Congruent Figures • Sometimes you have to change the position of the figures to match up vertices • Practice “spinning” and “sliding” the figures mentally

  8. SPIN and SLIDE

  9. 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 F B C

  10. 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 D A 7 The order must match. 7 E B 7 A D 7 F C 7 AB DE BC EF B C E F CA FD

  11. CPCTC • When the definition of congruent triangles is used in a proof, use the wording: “corresponding parts of congruent triangles are congruent” CPCTC

  12. O B M N A Name 3 pairs of corresponding sides. Name 3 pairs of corresponding angles. Is it correct to say Y ?

  13. D C O A B Complete the statements given . . ? Why is

  14. B I G T P Name the coordinates of B, I, and G. Name the coordinates of a point D, such that . Name the coordinates of a point O, such that .

  15. Homework • pg. 120 #1-6, 10-13, (15-21 odd) • Makeups next week are Wednesday after school • Graphing Calculator?

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