Compositions Answers

A composition of transformations maps ΔXYZ to ΔX"Y"Z".

On a coordinate plane, 3 parallelograms are shown. Parallelogram A B C D has points (3, 5), (6, 5), (4, 1), (1, 1). Parallelogram A prime B prime C prime D prime has points (3, negative 5), (6, negative 5), (4, negative 1), (1, negative 1). Parallelogram A double-prime B double-prime C double-prime D double-prime has points (negative 3, negative 4), (0, negative 4), (negative 2, 0), (negative 4, 0).

Figure WXYZ is transformed using the rule . Point W of the pre-image is at (1, 6).

Parallelogram P Q R S is rotated about point Q 180 degrees to form parallelogram P prime Q prime R prime S prime. Parallelogram P prime Q prime R prime S prime is reflected across line of reflection l to form parallelogram P double-prime Q double-prime Q double-prime S double-prime.

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Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.

On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).

Trapezoid E F G H is reflected across line of reflection k to form trapezoid E prime F prime G prime H prime. Trapezoid E prime F prime G prime H prime is shifted down to E double-prime F double-prime G double-prime H double-prime.

The rule is applied to ΔFGH to produce ΔF"G"H".

Square A"B"C"D" is the final image after the rule was applied to square ABCD.

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Triangle JKL is transformed using the rule . Point K of the pre-image is at (4, 7).

Parallelogram F"G"H"J" is the final image after the rule was applied to parallelogram FGHJ.

Triangle A B C is reflected across the line of reflection m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point B prime 270 degrees to form triangle A double-prime B double-prime C double-prime.

Figure WXYZ is transformed using the rule . Point W of the pre-image is at (1, 6).

On a coordinate plane, 2 triangles are shown. Triangle J K L has points (2, negative 4), (5, negative 4), (2, negative 2). Triangle J double-prime K double-prime L double-prime has points (2, 2), (2, 5), (0, 2).

The rule is applied to ΔABC.

The rule is applied to ΔFGH to produce ΔF"G"H".

Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Select two options.