## Which Rule Describes a Composition of Transformations that Maps pre-Image PQRS to Image P”Q”R”S”?

## Which Rule Describes a Composition of Transformations that Maps pre-Image PQRS to Image P”Q”R”S”?

## Answer from gauthmath.com

**Question – Answer:**

_{y-axis}oR

_{0,270}

^{o }(x , y)

**P”**

**Q”R”**

**S”**

## Step-by-step explanation

### Step 1

The figure shows that the pre-image is in the first quadrant, and alsothe image is in the third quadrant.

_{270}

^{0}

### Step 2

The rotation of/in the counterclockwise direction represents the coordinates as,

It can be seen that the coordinate of PQRS are as follows,

### Step 3

Now apply the rule of axis of reflection _{Ry-axis}(x,y)→(-x,y) on the above transformation as

_{270}

^{0}counterclockwise followed by y axis of reflection.

_{ry-axis0R0,270}^{0 }_{(x,y)}

_{ry-axis0R0,270}

^{0 }

_{(x,y) }is right

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