Question

Without using matrices, find the image of the point (2,10) after a reflection in the X-axis followed by a reflection in the line y=x

a) (10, 2)
b) (2, -10)
c) (-10, -2)
d) (-2, -10)

Answer 1

To find the image, we reflect the point in the X-axis and then in the line y=x. Hence the correct answer is option D

Step-by-step explanation:

To find the image of the point (2,10) after a reflection in the X-axis followed by a reflection in the line y=x, we can think of the reflection as a series of transformations.

1. First, reflect the point (2,10) in the X-axis to obtain the point (2,-10).
2. Next, reflect the point (2,-10) in the line y=x.

Reflecting the point (2,-10) in the line y=x results in the point (-10,2).

Hence the correct answer is option D