Question

How can you achieve the same image J'K' as rotating line segment JK with coordinates J(-1,1), K(-3,-1) 90 degrees counterclockwise using other transformations?

Which of the following transformations would result in the same image J'K' as rotating the line segment JK 90 degrees counterclockwise?
A) Reflecting across the x-axis and then translating horizontally
B) Reflecting across the y-axis and then translating vertically
C) Reflecting across the line y = x and then translating horizontally
D) Reflecting across the line y = -x and then translating vertically

Answer 1

To achieve the same image as rotating line segment JK 90 degrees counterclockwise, the line segment needs to be reflected across the line y = -x and then translated vertically. The correct option is D)

Step-by-step explanation:

To achieve the same image J'K' as rotating line segment JK with coordinates J(-1,1), K(-3,-1) 90 degrees counterclockwise using other transformations, we need to reflect the line segment across the line y = -x and then translate it vertically. This means that the correct answer is option D)