Question

Kite ABCD is reflected over the line y = x. What rule shows the input and output of the reflection, and what is the new coordinate of A'?

Kite ABCD is shown. A is at negative 7, 2, B is at negative 5, 3, C is at negative 2, 2, D is at negative 5, 1.

(x,y)→(y,x); A' is at (2, −7)
(x,y)→(−x,y); A' is at (7, 2)
(x,y)→(−x,−y); A' is at (7, −2)
(x,y)→(y,−x); A' is at (2, 7)

Answer 1

(x,y)→(y,x); A' is at (2, −7)

Explanation:

Answer 2

(x,y)→(y,x); A' is at (2, −7)

Explanation:

According to the given image, the coordinates of the kite ABCD are:

A (-7, 2)

B(-5, 3)

C(-2, 2)

D(-5, 1)

Kite ABCD is then reflected over the line y = x, the main rule to find the coordinates of the images is (y, x).

So for point A (-7, 2), the coordinates of the point A' after reflecting over the line y=x will be A' (2, -7).