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Similar and Congruent Figures

Similar and Congruent Figures. Similar and Congruent Figures. Similar figures have the same shape, but not the same size. Congruent figures have the same shape and the same size Corresponding parts are the sides or angles that have the same position.

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Similar and Congruent Figures

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  1. Similar and Congruent Figures

  2. Similar and Congruent Figures • Similar figures have the same shape, but not the same size. • Congruent figures have the same shape and the same size • Corresponding parts are the sides or angles that have the same position. • Corresponding angles in similar and congruent figures have the same measurement

  3. The symbol ≈ means that the shapes are similar • The symbol means that the shapes are congruent

  4. Notation Helps You Find the Corresponding Parts • To find which angles correspond, stack the two notations. • Example: the trapezoids are similar ABCD≈ EFGH EFGH E F A B C G H D

  5. ABCD≈ EFGH Angle “C” corresponds to angle ____ Angle “H” corresponds to angle ____ Side BC corresponds to side _____ Side DA corresponds to side _____ E B H A C F D G

  6. DCBA≈ HGFE Side BA corresponds to side ____ Side AD corresponds to side ____ The angle measurement of E is ____ The angle measurement of D is ____ F G A 100° D B E C 80° H

  7. Congruent Figures Triangle ABC is congruent to DEF B F 12 8 D A E C Angle “A” corresponds to angle ____ What is the length of BC?

  8. EFG JKL Closure: Find all the side lengths and angle measurements Angle F _______ Angle G_______ Angle J________ Side EF________ Side KL________ Side LJ________ L F 55° 5 in J 4 in 35° 90° E G K 3 in

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