Atriangle has vertices at b(−3, 0), c(2, −1), d(−1, 2). which transformation would produce an image with vertices b″(−2, 1), c″(3, 2), d″(0, −1)? (x, y) → (x, −y), (x, y) → (x + 1, y + 1) (x, y) → (−x, y), (x, y) → (x + 1, y + 1) (x, y) → (x, −y), (x, y) → (x + 2, y + 2) (x, y) → (−x, y), (x, y) → (x + 2, y + 2)

A. (x, y) → (x,-y), (x, y) → (x + 1, y + 1)

Step-by-step explanation:

Plot points B, C and D on the coordinate plane (blue points in attached diagram).

1 transformation is reflection across the x-axis with the rule

(x,y)→(x,-y)

and it maps these points to

These image points are marked in green in attached diagram.

2 transformation is translation 1 unit to the right and 1 unit up with the rule

(x,y)→(x+1,y+1)

and it maps previous image points to

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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