Similar and Congruent Figures

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

6. 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

7. 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

8. 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?

10. 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