Question

Which shows the image of ΔRST after the rotation (x, y) → (y, –x)? On a coordinate plane, a triangle has points R (negative 2, 1), S (1, 3), T (negative 1, 8). On a coordinate plane, a triangle has points R prime (1, 2), S prime (3, negative 1), T prime (7, 1). On a coordinate plane, a triangle has points R prime (1, negative 2), S prime (3, 1), T prime (7, negative 1). On a coordinate plane, a triangle has points R prime (negative 1, negative 2), S prime (negative 3, 1), T prime (negative 7, negative 1). On a coordinate plane, a triangle has points R prime (2, 1), S prime (negative 1, 3), T prime (1, 7).

Answer 1

Answer:

  On a coordinate plane, a triangle has points R prime (1, 2), S prime (3, negative 1), T prime (7, 1)

Step-by-step explanation:

We assume that the coordinates of the vertices of the given triangle are supposed to be ...

  R(-2, 1), S(1, 3), T(-1, 7)

Then the given transformation (x, y) ⇒ (y, -x) will transform these to ...

  R'(1, 2), S'(3, -1), T'(7, 1) . . . . . (matches the first choice)

Answer 2

A shape must be rotated through a point of rotation.  The points on the image of $\triangle RST$ are:

• $R' = (1,2)$.
• $S' = (3,-1)$.
• $T' = (8,1)$

The points on $\triangle RST$ are given as:

$R =(-2,1)$

$S = (1,3)$

$T = (-1,8)$

The rotation is given as:

$(x,y) \to (y,-x)$

This means that the x coordinate is negated, and then swapped with the y-coordinate.

So, we have:

$R' = (1,2)$

$S' = (3,-1)$

$T' = (8,1)$

See attachment for the image of $\triangle RST$

Read more about rotations at:

https://brainly.com/question/15356082