Question

Two transformations will be applied to triangle RST so that the final image is also located in Quadrant I. The second transformation will be a reflection across the axis. Which transformation could be the first transformation applied to triangle RST? How do you know this could be the first transformation?

A) A rotation of 90 degrees counterclockwise
B) A translation to the right
C) A dilation
D) A reflection across the y-axis
E) A reflection across the x-axis

Answer 1

The first transformation that could be applied to triangle RST to ensure that it remains in Quadrant I after reflection is a translation to the right.

Step-by-step explanation:

The question asks which transformation can be the first applied to triangle RST, given that the second transformation is a reflection across an axis, and the final image must be in Quadrant I. Considering the options, the only transformation that ensures the triangle remains in Quadrant I after the reflection is answer B) A translation to the right. Translations do not change the orientation of the figure; instead, they slide the figure without rotation or flip. Therefore, it is the transformation that could be applied first to maintain the triangle's location in Quadrant I after reflection.