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Answer:

Option A shows the image of RST after the rotation

Step-by-step explanation:

Coordinates of S=(1,3)

Coordinates of R = (-2,1)

Coordinates of T = (-1,7)

We are given that after rotation(x,y)→(y,-x)

So, The new coordinates after rotation will be :

Coordinates of S'=(3,-1)

Coordinates of R'= (1,2)

Coordinates of T'= (7,1)

These are the coordinates of triangle of Option A

So, Option A is true .

Hence Option A shows the image of RST after the rotation

A. shows the image of RST after the rotation.

In the geometry, an equilateral triangle is the triangle in which have all 3 sides have same length. an equilateral triangle is also equiangular; that is, all 3 internal angles are also congruent to each other and are each 60 degrees It is also a regular polygon, so it is also referred to as the regular triangle.

Which plane does the triangle RST belong to?

The XY-coordinate plane or triangle RST are equilateral. Points R or In the x y -coordinate plane, triangle R S T is equilateral. Points R and T had coordinates ( 0, 2) and ( 1, 0), respectively.

Coordinates of S=(1,3)

Coordinates of R = (-2,1)

Coordinates of T = (-1,7)

We are given that after rotation(x,y)→(y, -x)

So, The new coordinates after the rotation will be :

Coordinates of S'=(3,-1)

Coordinates of R'= (1,2)

Coordinates of T'= (7,1)

These are the coordinates of the triangle of Option A

So, Option A is true.

Hence Option A shows the image of RST after the rotation.

Learn more about triangles here https://brainly.com/question/2773823

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