Which Rule Describes pre-Image PQRS to Image ‘P’‘Q’‘R’‘S’?

by Kashifa Jafar January 5, 2025

Which Define a Erection of Changes Maps pre-Image PQRS Image P”Q”R”S”

In this article, we are going to describe solving the problem “Which Rule Describes a Composition of Transformations that Maps pre-Image PQRS to Image P” Q”R” S”?”.

Composition of Transformations that Maps pre-Image PQRS to Image

Here question is, “Which Rule Describes a Composition of Transformations that Maps pre- Image PQRS to Image P”Q”R”S”?”

Solution:

Option D is the Right answer.

The rule describing a composition is,

Brief explanation:

From the given number:

The managers of PQRS are;

P = (1,1)

Q= (1, 5)

R=(3, 5)

S = (3, 1)

First, apply the rule of 270° counterclockwise rotation about the origin given by;

Apply the rule of 270 degrees counterclockwise rotation on PQRS:

Next, apply the y-axis to the rule of reflection i.e

apply the y-axis to the rule of reflection

Hence, the rule defines a conformation of transformation that maps pre-image PQRS to image P” Q” R” S” is;

Answer from gauthmath.com for Image PQRS to Image ‘P’‘Q’‘R’‘S’

According to gauthmath.com, the answer will be like this:

Question – Answer:

Answer: Choose the third one.

Solution: as little can be seen

Because the QRPS is rotated 270 degrees to become Q’R’P’S

Because they are arranged according to the y axis

And y changes the most

So choose the third one

The correct Option is Option D r_y-axisoR_0,270^o(x , y)

Enya. Day/ – brainly.com/ – Which rule describes a composition of transformations that maps pre-image PQRS to image P” Q”R” S”?

Further explanation A translation that transforms the number with a certain distance . A rotation is an alteration that rotates the number with given angles.

Given It is given that the 2 transformations that chart pre-image PQRS to image P” Q”R” S”

The step-by-step explanation for Image PQRS to Image ‘P’‘Q’‘R’‘S’

First Step

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

The coordinates in the second quadrant represent as (x , y) And also in the third quadrant mean as/if x,y , are favourable.

Thus, the rotation is in the counterclockwise direction of

₂₇₀⁰

Step 2

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

It can be seen that the coordinate of are as follows, (x,y)→(y,-x)

Then after rotation of counterclockwise on as,

It can remain 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

apply the rule of axis of reflection

The given transformation remains the rotation of 2700 counterclockwise, followed by the y-axis of reflection.

So, this is the arrangement of transformation.

The composition of the given transformation can be written as,

_{ry-axis0R0,270}⁰_(x,y)

So, option D _{ry-axis0R0,270}⁰_(x,y)is right

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Kashifa Jafar

Kashifa Jafar is a dedicated content writer and contributor at Businessian, where she shares insightful and easy-to-understand articles on business, marketing, and digital trends. With a strong interest in entrepreneurship and innovative strategies, Kashifa aims to help readers gain practical knowledge and grow in the competitive business world.