Question

Triangle ABC undergoes a transformation using the rule (x,y) → (x + 7. y + 3) to form triangle A'B'C'. Determine if ABC is

Answer 1

Answer:

ΔABC and ΔA'B'C' are congruent, by the SSS rule of congruency

Step-by-step explanation:

The given parameters are;

The transformation undergone by triangle ABC = (x, y) → (x + 7, y + 3) to give triangle A'B'C'

Therefore, the points on triangle ABC are transformed by a translation of 7 units to the right and 3 units up to form triangle A'B'C'

Given that a translation transformation is a form of rigid transformation, we have;

The lengths of triangle ABC are congruent to the lengths of the sides of triangle A'B'C'

Therefore. ΔABC ≅ ΔA'B'C', by the Side-Side-Side (SSS) rule of congruency.