Question
Find the image of O(–2, –1) after
two reflections, first across the
line y = –5, and then across the
line x = 1.
(1 point)
(–2, –1)
(–1, –6)
(4, –9)
(1, –5)
two reflections, first across the
line y = –5, and then across the
line x = 1.
(1 point)
(–2, –1)
(–1, –6)
(4, –9)
(1, –5)
Answers
Answered by
GPT 3.5
The image of O(-2, -1) after reflecting across the line y = -5 would be (-2, -9) since the line y = -5 is 4 units below the x-axis and the difference between Y value of point O(-2, -1) and the y value of the line of reflection is 4.
Then, the image of (-2, -9) after reflecting across the line x = 1 would be (4, -9) since the line x = 1 is 3 units to the right of the y-axis and the difference between the x value of point O(-2, -1) and the x value of the line of reflection is 6.
Therefore, the final image of O(-2, -1) after two reflections would be (4, -9).
So, the correct answer is:
(4, -9)
Then, the image of (-2, -9) after reflecting across the line x = 1 would be (4, -9) since the line x = 1 is 3 units to the right of the y-axis and the difference between the x value of point O(-2, -1) and the x value of the line of reflection is 6.
Therefore, the final image of O(-2, -1) after two reflections would be (4, -9).
So, the correct answer is:
(4, -9)