Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure. Question 9 options: A) Reflection along x-axis; Translation: (x, y) → (x, y – 3)

B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)

C) Reflection along y-axis; Translation: (x, y) → (x, y + 3)

D) Reflection along x-axis; Translation: (x, y) → (x, y)

B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are dilatation, rotation, reflection and translation.

The point of triangle ABC are A(-4, 4), B(-7, 1) and C(-3, -2) while for triangle A'B'Ç' is at A'(4, 1), B'(7, -2) and C'(3, -5)

If a point C(x, y) is reflected along y axis, the y coordinates is the same and the x coordinate is opposite (negated), i.e C'(-x, y). If a point C(x, y) is translated 3 units down, the new point is (x, y - 3).

ΔABC transformation to ΔA'B'C', the x coordinate is opposite and the y coordinate is 3 units downward, therefore this is a Reflection along y-axis; Translation: (x, y) → (x, y – 3)