Image figure of figure A will be as per picture attached.
Reflection of a point about a line y = x:
- If a point (h, k) is reflected across the line y = x, coordinates of the image point will be as per rule,
(x, y) → (y, x)
Given in the question,
Coordinates of the vertices of figure A,
G → (1, -2)
H → (4, -2)
I → (4, -3)
J → (3, -3)
K → (3, -4)
L → (1, -4)
If the figure A is reflected across the line y = x,
G(1, -2) → G'(-2, 1)
H(4, -2) → H'(-2, 4)
I(4, -3) → I'(-3, 4)
J(3, -3) → J'(-3, 3)
K(3, -4) → K'(-4, 3)
L(1, -4) → L'(-4, 1)
By plotting these image points we can get the image (G'H'I'J'K'L') of figure A.
Learn more about the rule for the transformation here,
https://brainly.com/question/15991621?referrer=searchResults
