Question

Please help will give brianliest

Answer 1

All of these transformations are equivalent to reflection across the line y=x:

• a reflection across the y-axis followed by a clockwise rotation 90° about the origin
• a clockwise rotation 90° about the origin followed by a reflection across the x-axis
• a counter-clockwise rotation 90° about the origin followed by a reflection across the y-axis
• a reflection across the x-axis followed by a counter-clockwise rotation 90° about the origin

_____

These are all but the second choice.

... reflection across y: (x, y) ⇒ (-x, y); 90°CW: (-x, y) ⇒ (y, x)

... 90°CW: (x, y) ⇒ (y, -x); reflection across x: (y, -x) ⇒ (y, x)

... 90°CCW: (x, y) ⇒ (-y, x); reflection across y: (-y, x) ⇒ (y, x)

... reflection across x: (x, y) ⇒ (x, -y); 90°CCW: (x, -y) ⇒ (y, x)

Note that the second choice gives a different result:

... reflection across y: (x, y) ⇒ (-x, y); 90°CCW: (-x, y) ⇒ (-y, -x)

Answer 2

Answer:

The correct answers would be:

"a reflection across the y-axis followed by a clockwise rotation 90° about the origin

"a clockwise rotation 90° about the origin followed by a reflection across the x-axis

"a counter-clockwise rotation 90° about the origin followed by a reflection across the y-axis

"a reflection across the x-axis followed by a counter-clockwise rotation 90° about the origin

Or A,C,D,E,

Step-by-step explanation: