High School

We appreciate your visit to The table shows the coordinates of the vertices of pentagon ABCDE Pentagon ABCDE is dilated by a scale factor of 7 3 with the origin. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The table shows the coordinates of the vertices of pentagon ABCDE.


Pentagon ABCDE is dilated by a scale factor of 7/3

with the origin as the center of dilation to create pentagon A′B′C′D′E′. If (x, y) represents the location of any point on pentagon ABCDE, which ordered pair represents the location of the corresponding point on pentagon A′B′C′D′E′?

The table shows the coordinates of the vertices of pentagon ABCDE Pentagon ABCDE is dilated by a scale factor of 7 3 with the origin

Answer :

If (x, y) represents the location of any point on pentagon ABCDE, an ordered pair that represents the location of the corresponding point on pentagon A′B′C′D′E′ is: D. (x, y) → (7/3x, 7/3y).

What is scale factor?

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects such as equilateral triangles, square, quadrilaterals, pentagons, polygons, etc., which can be used to either vertically or horizontally enlarge (increase) or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (pentagon) based on a specific scale factor of 7/3 is given by this mathematical expression:

(x, y) → (SFx, SFy)

Where:

  • x and y represents the data points.
  • SF represents the scale factor.

Therefore, the transformation rule for this dilation is given by;

(x, y) → (7/3x, 7/3y)

Read more on dilation here: brainly.com/question/9459722

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Thanks for taking the time to read The table shows the coordinates of the vertices of pentagon ABCDE Pentagon ABCDE is dilated by a scale factor of 7 3 with the origin. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada