Question

1
which rule describes the transformation applied to quadrilateral tuvw to create tuvw?
a ((x, y) \to (x + 6, y + 2))
b ((x, y) \to (x - 6, y + 2))
c ((x, y) \to (x + 6, y - 2))
d ((x, y) \to (x - 6, y - 2))

Explanation:

Step1: Choose a point (e.g., T)

Original T: (3, 4). Transformed T': (9, 2).

Step2: Calculate x - change and y - change

x - change: \(9 - 3 = 6\) (so \(x+6\)).
y - change: \(2 - 4=- 2\) (so \(y - 2\)).

Step3: Verify with another point (e.g., W)

Original W: (1, 1). Transformed W': (7, - 1).
x - change: \(7 - 1 = 6\) (\(x + 6\)).
y - change: \(-1-1=-2\) (\(y - 2\)).

Answer:

C. \((x,y)\to(x + 6,y - 2)\)