Triangle A is reflected in the x-axis to give B. Triangle B is reflected in the y-axis to give C.
Describe fully the single transformation that maps A onto C.

PLZ HELP
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The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y). If a point B(x, y) is reflected over the y axis, the new point is at A'(-x, y).

Triangle A has vertex at (-4, -2), (-4, -5) and (-2, -5). If triangle A is reflected in the x axis to give triangle B, the vertex of triangle B is (-4, 2), (-4, 5) and (-2, 5).

If triangle B is reflected in the y axis to give triangle C, the vertex of triangle C is at (4, 2), (4, 5) and (2, 5). Hence the transformation is:

(x, y) ⇒ (-x, -y)

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6