Question

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

A.The rule for the translation can be written as T–3, 1(x, y).
B.The rule for the translation can be written as T–1, 3(x, y).
C.The rule for the translation can be written as(x, y) → (x + 1, y – 3).
D.The rule for the translation can be written as(x, y) → (x – 3, y + 1).
E.Trapezoid ABCD has been translated 3 units to the right and 1 unit up.

Answer 1

1 and 4 are correct good luck :)

Answer 2

Transformation involves moving a shape away from its original position.

The true statements are:

• A. The rule for the translation can be written as $\mathbf{T_{-3,1}(x,y)}$
• D. The rule for the translation can be written as $\mathbf{(x,y) \to (x -3,y+1)}$

From the diagram, we have the following observations

• ABCD and A'B'C'D have the same size
• ABCD was translated left and up, to form A'B'C'D

Next, we determine the unit of translation using coordinates A and A'

From the figure:

$\mathbf{A = (-1,-2)}$

$\mathbf{A' = (-4,-1)}$

Subtract A from A'

$\mathbf{(x,y) =A' - A}}$

$\mathbf{(x,y) = (-4,-1) - (-1,-2)}$

$\mathbf{(x,y) = (-4--1,-1--2)}$

$\mathbf{(x,y) = (-4+1,-1+2)}$

$\mathbf{(x,y) = (-3,1)}$

The above equation means that, the transformation rule is:

$\mathbf{(x,y) \to (x -3,y+1)}$

The above rule can be rewritten as:

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

Hence, options (a) and (d) are correct

Read more about transformation at:

https://brainly.com/question/13801312