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Pentagon P and pentagon Q, shown above, are congruent


Which sequence could be used to transform pentagon p to pentagon Q?


Please be specific

Pentagon P and pentagon Q shown above are congruent Which sequence could be used to transform pentagon p to pentagon Q Please be specific

Answer :

A sequence of transformation that could be used to transform pentagon P to pentagon Q is: C. a reflection over the y-axis and then a translation seven units down.

How to perform the sequence of transformations on the pentagon?

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 pentagon P, we have the following coordinates for its image;

(x, y) → (-x, y)

Point (1, 2) → P' (-1, 2)

Point (1, 5) → P' (-1, 5)

Next, we would apply a translation of 7 units down in order to determine the coordinates of new image (pentagon Q) as follows;

(x, y) → (x, y - 7)

P' (-1, 2) → (-1, 2 - 7) = Q (-1, -5).

P' (-1, 5) → (1, 5 - 7) = Q (1, -2).

Read more on reflection here: brainly.com/question/27912791

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Complete Question:

Which sequence could be used to transform pentagon P to pentagon Q

A a 180º clockwise rotation about the origin

B a trarislation four units left and then a reflection over the x-axis

C a reflection over the y-axis and then a translation seven units down

D a translation seven units down and then a 90° clockwise rotation about the origin

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Rewritten by : Barada

Final answer:

To transform Pentagon P to Pentagon Q, perform a series of transformations: Translate, Rotate, Reflect, and Translate again.

Explanation:

To transform Pentagon P to Pentagon Q, we need to perform a series of transformations. Here is one possible sequence:

  1. Translate Pentagon P 3 units to the right and 2 units down to obtain a new pentagon.
  2. Rotate the new pentagon 90 degrees counterclockwise around its center point.
  3. Reflect the rotated pentagon over the y-axis.
  4. Translate the reflected pentagon 3 units to the left and 2 units up.

This sequence of transformations will result in Pentagon Q, which is congruent to Pentagon P.

Learn more about Transformations here:

https://brainly.com/question/11709244

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