Question

rapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ . Which sequence of transformations could have been used to transform trapezoid ABCD to produce ​ trapezoid A′′B′′C′′D′′ ​ ? ​ Trapezoid ABCD ​ was reflected across the y-axis and then across the x-axis. ​ Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up. ​ Trapezoid ABCD ​ was translated 7 units up and then 12 units left. ​ Trapezoid ABCD ​ was reflected across the x-axis and then across the y-axis. A coordinate graph with trapezoid A B C D and trapezoid A double prime B double primes C double prime and D double prime. Trapezoid A B C D has points at A begin ordered pair 4 comma negative 2 end ordered pair, B begin ordered pair 2 comma negative 2 end ordered pair, C begin ordered pair 8 comma negative 5 end ordered pair, D begin ordered pair 4 comma negative 5 end ordered pair. Rectangle A double prime B double prime C double prime D double prime has points at A double prime begin ordered pair negative 4 comma 5 end ordered pair, B double prime begin ordered pair negative 6 comma 5 end ordered pair, C double prime begin ordered pair negative 8 comma 2 end ordered pair, D double prime begin ordered pair negative 4 comma 2 end ordered pair

Answer 1

Could you make the text simplier to read.

Explanation:

Answer 2

A sequence of transformations that could have been used to transform trapezoid ABCD to produce ​ trapezoid A"B"C"D" is: B. Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up. ​

In Mathematics and Geometry, a reflection over or across the y-axis is represented by this transformation rule (x, y) → (-x, y).

By applying a reflection over the y-axis to the coordinates of trapezoid ABCD, we have the following coordinates of its image;

(x, y) → (-x, y)

A (4, -2) → A' (-4, -2)

B (6, -2) → B' (-6, -2)

C (8, -5) → C' (-8, -5)

D (4, -5) → D' (-4, -5)

Next, we would translate the new vertices 7 units up as follows;

(x, y) → (x, y + 7)

A' (-4, -2) → A" (-4, 5)

B' (-6, -2) → B" (-6, 5)

C' (-8, -5) → C" (-8, 2)

D' (-4, -5) → D" (-4, 2)

Complete Question:

Trapezoid ABCD is congruent to trapezoid A"B"C"D" .

Which sequence of transformations could have been used to transform trapezoid ABCD to produce ​ trapezoid A"B"C"D" ​? ​

A. Trapezoid ABCD ​ was reflected across the y-axis and then across the x-axis. ​

B. Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up. ​

C. Trapezoid ABCD ​ was translated 7 units up and then 12 units left. ​

D. Trapezoid ABCD ​ was reflected across the x-axis and then across the y-axis.