Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(7, 12) . Triangle FGH has vertices at F(8, 4) , G(16, 4) , and H(12, 8) . Which sequence of transformations shows that triangle ABC and triangle FGH are congruent? Select each correct answer. Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units. Translate triangle FGH down 4 units, and then translate triangle FGH left 5 units. Translate triangle FGH up 4 units, and then translate triangle FGH left 5 units. Translate triangle ABC down 4 units, and then translate triangle ABC left 5 units.
Accepted Solution
A:
vertices of ΔABC A - (3, 8) B - (11, 8) C - (7, 12) vertices of ΔFGH F - (8, 4) G - (16, 4) H - (12, 8) after a translation the size nor shape of the triangle changes, every point of the triangle moves the same distance in the same direction. if we take point A and F x coordinates of A = 3 and F = 8 the change that has happened can be noted as 'm' 3 + m = 8 m = 5 this means that the point has moved 5 units to the right y coordinates of A = 8 and F = 4 change that happened is 'n' 8 + n = 4 n = -4 this means that point has moved 4 units downwards
Therefore the correct answer is Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units