Prove the conjecture: If is a segment in the plane and is a segment in the plane with the same length as , then is congruent to .

1. Here are some statements about two zigzags. Put them in order to write a proof about figures and .
   • 1: Therefore, figure is congruent to figure .
   • 2: must be on ray  since both and  are on the same side of and make the same angle with it at .
   • 3: Segments and are the same length, so they are congruent. Therefore, there is a rigid motion that takes to . Apply that rigid motion to figure .
   • 4: Since points  and  are the same distance along the same ray from , they have to be in the same place.
   • 5: If necessary, reflect the image of figure  across  to be sure the image of , which we will call , is on the same side of as .
2. Take turns with your partner stating steps in the proof that figure is congruent to figure .

Figures A B C D and E F G H, with different orientations. Segments A B and E F each have 1 tick mark, B C and F G each have 2 tick marks, C D and G H each have three tick marks. Angles A B C and E F G each have 1 tick mark, Angles B C D and F G H each have two tick marks.