Question

Which of the rectangles in the picture could be the image of rectangle A after a sequence of reflections, rotations and/or translations? Select all correct answers.

A. Rectangle 3

B. Rectangle 4

C. Rectangle 2

D. Rectangle 1

E. Rectangle 6

F. Rectangle 5

Answer 1

Answer:

A. Rectangle 3, and E. Rectangle 6

Step-by-step explanation:

Because you are only reflecting, translating, or rotating, and NOT dilating, it will still have the same proportions, so only rectangle 3 and 6 are the image of rectangle A.

Answer 2

The correct options are A and E.

Important information:

• We need to find the image of rectangle A after a sequence of reflections, rotations and/or translations.

Sequence of transformation:

From the given graph it is clear that the dimensions of rectangle A are 2 and 4 units.

We know that reflections, rotations and/or translations are rigid transformations. It means the size shape remains the same as the original figure.

The dimensions of Rectangle 1 are 2 and 3.

The dimensions of Rectangle 2 are 1 and 3.

The dimensions of Rectangle 3 are 2 and 4.

The dimensions of Rectangle 4 are 3 and 4.

The dimensions of Rectangle 5 are 3 and 6.

The dimensions of Rectangle 6 are 2 and 4.

It is clear that Rectangle 3 and Rectangle 6 have the same dimensions as Rectangle A.

Therefore, the correct options are A and E.

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