Question

Which set of transformations would prove Δqrs Δuts?

1) Reflect Δuts over y = 2, and dilate Δu't's' by a scale factor of 2 from point s.
2) Reflect Δuts over y = 2, and translate Δu't's' by the rule (x 2, y 0).
3) Translate Δuts by the rule (x 0, y 6), and reflect Δu't's' over y = 6.
4) Translate Δuts by the rule (x -2, y 0), and reflect Δu't's' over y = 2.

Answer 1

The correct set of transformations that would prove Δqrs Δuts is option 3: Translate Δuts by the rule (x 0, y 6), and reflect Δu't's' over y = 6.

Step-by-step explanation:

The correct set of transformations that would prove Δqrs ≈ Δuts is option 3: Translate Δuts by the rule (x 0, y 6), and reflect Δu't's' over y = 6.

Here's a step-by-step explanation of why this is the correct set of transformations:

1. Translate Δuts by the rule (x 0, y 6): This shifts the entire triangle Δuts up by 6 units on the y-axis.
2. Reflect Δu't's' over y = 6: This reflects the triangle Δu't's' over the line y = 6, which means it will be flipped upside down.