: asked on jenna34032
29.07.2022

# Rotate the figure 90 degrees clockwise then translate 4 units left

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09.07.2023, solved by verified expert
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If I am not mistaken, the new figure will be here (view attachment, bright blue figure is the new transformation)

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Mathematics
P Answered by Master

If I am not mistaken, the new figure will be here (view attachment, bright blue figure is the new transformation)

Mathematics
P Answered by Specialist
I think its either C or D give me one second to figure it out.
Mathematics
P Answered by Master
I think its either C or D give me one second to figure it out.
Mathematics
P Answered by PhD

The correct answer is:

A) A translation of 4 units to the right followed by a dilation of 2.

Explanation:

3 of our transformations are called isometries. These are transformations that preserve the size and shape of the original figure; they just change the position or orientation of it. Translations, reflections and rotations are all isometries. We know that isometries preserve congruence, since they maintain the size and shape of the original figure.

A dilation is not an isometry. This is because a dilation changes the size of a figure. Since the new figure will not be the same size as the original, they will not be congruent.

Mathematics
P Answered by PhD

The correct answer is:

A) A translation of 4 units to the right followed by a dilation of 2.

Explanation:

3 of our transformations are called isometries. These are transformations that preserve the size and shape of the original figure; they just change the position or orientation of it. Translations, reflections and rotations are all isometries. We know that isometries preserve congruence, since they maintain the size and shape of the original figure.

A dilation is not an isometry. This is because a dilation changes the size of a figure. Since the new figure will not be the same size as the original, they will not be congruent.

Mathematics
P Answered by PhD
If you rotate, translate, or reflect a figure, the afterimage will be congruent to the original.
But if you dilate the figure, you are changing the dimensions and the length of its sides. However, angle measures are preserved and therefore that makes the figure and its afterimage similar.
Therefore C.) produces a similar but not congruent figure because there is the dilation in it.
Mathematics
P Answered by PhD
If you rotate, translate, or reflect a figure, the afterimage will be congruent to the original.
But if you dilate the figure, you are changing the dimensions and the length of its sides. However, angle measures are preserved and therefore that makes the figure and its afterimage similar.
Therefore C.) produces a similar but not congruent figure because there is the dilation in it.
Mathematics
P Answered by PhD

Given:

The vertices of a parallelogram are A (-2,3), B (3,3), C (4,6), and D(-1,6).

It is first rotated 90 degrees clockwise and then translated 4 units left and 2 units down to form quadrilateral A'B'C'D.

To find:

The distance between C' and D'.

Solution:

If a figure rotated 90 degrees clockwise, then

If figure translated 4 units left and 2 units down, then

Distance formula:

Distance between C'(2,-6) and D'(2,-1) is

Therefore, the distance between C'D' is 5 units.

Mathematics
P Answered by PhD
B) a translation of 5 units right and 1 unit down followed by a reflection across the x axis
Mathematics
P Answered by PhD
B) a translation of 5 units right and 1 unit down followed by a reflection across the x axis
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