Question

Supppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of these is a true statement

Answer 1

Options:

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.

The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.

The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.

Answer:

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation:

See attachment for options

Given

Shape: Rectangle

Transformation

- Rotation

- Translation 6 units down

Required

True statement about the transformation

From the options, we understand that we are to answer the question based on whether or not the image of the transformation will equal the original.

The given transformations are rigid transformations and as such, they do not in any way change the measure of the length and/or angle of the new image, after transformation

So, irrespective of which transformation comes first, both shapes will be congruent.

Hence: (a) is true