Use this guide to take notes as you work through the activity. Taking good notes can help you remember important ideas. Your notes on this guide will help you prepare for quizzes and tests. Main idea: Congruent figures 1. Fill in the blanks to describe congruent figures. Congruent figures have exactly the same and Main idea: Corresponding parts 2. Fill in the blanks and complete the table to describe and identify corresponding parts. Figures that are congruent have congruent corresponding and corresponding Congruent figures Side or angle Corresponding side or angle AB BC 20 154 54 AC 12 16 ZA 37" LB LC Main idea: Congruence statements 3. Fill in the blanks and complete the table to describe and identify congruence statements. . A congruence statement tells which sides and angles of two figures are. It is important to list the corresponding vertices in the same . The symbol used in the statement that relates the sides or angles looks like this: Congruent figures Congruence statement B 20 20 370 AABC ~ AA'B'C' 89 37' 20 54 15 E 12 AABC 89 37' 16 16 A B. AABC~ 4. What are some other ways to show congruent sides and angles? Main idea: Rotating, reflecting, and translating 5. Complete the table to describe the transformations of AABC to ADEF. 180' about over the x- leftthe origin axis Each transformation preserves Each transformed figure is _ to the original. 6. Quadrilateral ABCD is reflected over the x-axis. What are the coordinates of quadrilateral A'B'C'D? Coordinates Quadrilateral ABCD Quadrilateral A'B'C'D' D (1, 5) A (5, 5) C (2. 1) B (5, 1) A (5, 5) A' L C B B (5, 1) B' C (2, 1) - LLLL C D' A' D (1, 5) D' Main idea: Combining transformations 7. Figure A has undergone a combination of transformations.D a. Identify each transformation. A to B: B to C: C to D: b. Is figure A congruent to figure D? Why or why not? Main idea: Testing congruence 8. Fill in the blanks to describe a test for congruence. Two figures are congruent if there is a or of transformations that will move one figure the other. 9. What transformation will show that figure E is congruent to figure F