abc is congruent to ghe describe a sequcen of transformations from abc to ghe that proves their congruence here are the coordinates A = (1,-3) C =(4,-3) B= (1,-1) G=(-2,2) H = (-4,2) E=(-2,5)
Here is a sequence of transformations that proves the congruence between ABC and GHE:
1. Translation: Move ABC to the right by 3 units and upwards by 4 units. This transforms A(1,-3) to G(-2,2), C(4,-3) to H(-4,2), and B(1,-1) to E(-2,5).
2. Reflection: Reflect the translated triangle GHE across the y-axis. This transforms G(-2,2) to G(2,2), H(-4,2) to H(4,2), and E(-2,5) to E(2,5).
3. Translation: Move the reflected triangle GHE to the left by 1 unit. This transforms G(2,2) to G(1,2), H(4,2) to H(3,2), and E(2,5) to E(1,5).
Therefore, triangle ABC is congruent to triangle GHE by the sequence of transformations.