Question

Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Check all that apply.

Answer 1

Answer-

$\boxed{\boxed{T_{-3, 1}(x, y)}}$

$\boxed{\boxed{(x, y) \rightarrow (x-3, y+1)}}$

Solution-

The coordinates of the vertices of trapezoid ABCD are,

A = (-1, -2)

B = (1, -2)

C = (2, -5)

D = (-2, -5)

The coordinates of the vertices of trapezoid A'B'C'D' are,

A' = (-4, -1)

B' = (-2, -1)

C' = (-1, -4)

D' = (-5, -4)

As it can be observed that, all the x coordinates are decreased by 3 units, and all the y coordinates are increased by 1 units

x coordinates are decreased 3 units means the final figure is moved 3 units to the left and y coordinates are increased 1 units means the final figure is moved 1 units up.

So, the rule for the translation can be written as (x, y) → (x-3, y+1).

This can also be written as $T_{-3, 1}(x, y)$

Answer 2

1 and 4 are correct good luck :)