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RSTis graphed on a coordinate plane below. The triangle undergoes two
transformations and the new vertices are R"(4,2), S"(8,2), and T"(8,-6). Determine
the transformations and the order in which they were applied.


A. 90° counter-clockwise rotation, then reflected across the y-axis

B. Reflected across the y-axis, then a 90° counter-clockwise rotation

C. 90° counter-clockwise rotation, then reflected across the x-axis

D. Reflected across the y=x, then a 90° counter-clockwise rotation

RSTis graphed on a coordinate plane below The triangle undergoes two transformations and the new vertices are R42 S82 and T86 Determine the transformations and class=

Respuesta :

Answer:C

Step-by-step explanation:

MrRoyal

Transformation involves changing the position of a shape

The transformations and the order in which they were applied are:

A. 90° counter-clockwise rotation, then reflected across the y-axis

From the figure, the coordinate of RST is:

[tex]R= (2,4)[/tex]

[tex]S = (2,8)[/tex]

[tex]T =(-6,8)[/tex]

Using R to illustrate the transformation.

We have

[tex]R= (2,4)[/tex]

First, R is rotated 90 degrees counterclockwise

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](2,4) \to (-4,2)[/tex]

Next, the point is reflected across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex](-4,2) \to (4,2)[/tex]

From the question, we have the coordinate of R" to be;

[tex]R: =(4,2)[/tex] --- same as the result of the above sequence

Hence, option (A) is correct

Read more about transformations at:

https://brainly.com/question/13801312

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