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6.4 Similar and Congruent Figures

6.4 Similar and Congruent Figures. Similar Figures. Two figures are similar if they have the same shape but not necessarily the same size. ABC ~ DEF. D. A. C. B. E. F. Corresponding Parts. Parts that have relatively the same position. MNOP ~ RSTU. M. N. R. S. T. U. O. P.

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6.4 Similar and Congruent Figures

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  1. 6.4 Similar and Congruent Figures

  2. Similar Figures Two figures are similar if they have the same shape but not necessarily the same size. ABC~ DEF D A C B E F

  3. Corresponding Parts Parts that have relatively the same position MNOP ~ RSTU M N R S T U O P Corresponding sides: MN & RS MO & RT OP & TU NP & SU Corresponding Angles: <M & <R <O & <T <P & <U <N & <S

  4. What if we don’t have a picture? The letters are in the same relative position too! KRP ~ TAV Name a pair of corresponding angles: Name a pair of corresponding sides:

  5. What are the corresponding sides and angles of the following figures? ABC~ XYZ A Y C X Z B Corresponding sides: AB & XY BC & YZ AC & XZ Corresponding angles: <A & <X <B & <Y <C & <Z

  6. Find the Ratio of Corresponding Side Lengths of JKLM to WXYZ 20 K J 4 W Y 5 16 16 2 Z X 4 M L 8 JK WX = 20 5 = 4 1

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