Pentagon ABCDE is reflected over the line \( y = x \), then rotated 270° counterclockwise about the origin to create pentagon A'B'C'D'E'.

Select all the attributes that are the same for pentagon ABCDE and pentagon A'B'C'D'E'.

Question

22-03-2024
Mathematics

High School

We appreciate your visit to Pentagon ABCDE is reflected over the line y x then rotated 270 counterclockwise about the origin to create pentagon A B C D E Select. 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!

Pentagon ABCDE is reflected over the line \( y = x \), then rotated 270° counterclockwise about the origin to create pentagon A'B'C'D'E'.

Select all the attributes that are the same for pentagon ABCDE and pentagon A'B'C'D'E'.

Answer :

Other Questions

A jet flew from New York to Los Angeles, a distance of

Jenn is baking 80 pumpkin spice cookies for a fundraiser. She begins

What is 144 lbs in kg?

What is the main message of this political cartoon?

Suppose a toy rocket is launched vertically upward from ground level with

Companies usually estimate work based on man-months. If the work must be

Identify the error in the sentence: "Yo me gusta la sopa."

Calculate the acceleration for a 103 kg box if the horizontal force

Which choice correctly adds commas to the following sentence? "Activities will include

Mr. Johnson weighs 135 pounds. Her husband weighs 80 kilograms. How many

JoelButler JoelButler · Answer 1 · 2024-01-23T18:04:32-05:00

Therefore, the following attributes of pentagon ABCDE and pentagon A'B'C'D'E' are the same: The shape of the pentagon (i.e., the relative positions of the vertices), The side lengths of the pentagon, The interior angles of the pentagon and The perimeter of the pentagon

What is polygon?

A polygon is a two-dimensional geometric shape that is made up of straight lines connecting a sequence of points, which are called vertices.

Reflecting a polygon over the line y=x means interchanging the x and y coordinates of all its vertices. Thus, if ABCDE is reflected over y=x, it becomes A'B'C'D'E' where A' is the image of A after reflection over y=x, B' is the image of B after reflection over y=x, and so on.

Rotating a polygon counterclockwise about the origin by 270 degrees means replacing each vertex (x,y) by (-y,x). Therefore, if A'B'C'D'E' is rotated 270 counterclockwise about the origin, it becomes A''B''C''D''E'' where A'' is the image of A' after rotation, B'' is the image of B' after rotation, and so on.

Since reflecting a polygon over a line and then rotating it by a multiple of 90 degrees about the origin are both rigid transformations, they preserve the shape and size of the polygon. Therefore, the following attributes of pentagon ABCDE and pentagon A'B'C'D'E' are the same:

The shape of the pentagon (i.e., the relative positions of the vertices)

The side lengths of the pentagon

The interior angles of the pentagon

The perimeter of the pentagon

The area of the pentagon

The distance between any two corresponding vertices of the two pentagons.

To learn more about polygons from the given link:

https://brainly.com/question/24464711

#SPJ9

Pentagon ABCDE is reflected over the line \( y = x \), then rotated 270° counterclockwise about the origin to create pentagon A'B'C'D'E'. Select all the attributes that are the same for pentagon ABCDE and pentagon A'B'C'D'E'.

Answer :

Other Questions

Pentagon ABCDE is reflected over the line \( y = x \), then rotated 270° counterclockwise about the origin to create pentagon A'B'C'D'E'.

Select all the attributes that are the same for pentagon ABCDE and pentagon A'B'C'D'E'.