Mathematics, 22.06.2019 12:40 emmajules889

The vertices of a rectangle are given in the columns of the matrix [image 1]. if [image 2] is found to perform a transformation, what are the coordinates of the transformed rectangle?

The vertices of a rectangle are given in the columns of the matrix [image 1]. if [image 2] is found

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Answer from: heyyyyy3922

The answer is B

(0,0), (18,0), (18,-18), (0,-18)

Step-by-step explanation:

I used a matrix calculator.

Answer from: mari426

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

∵ The vertices of the rectangles are:

(0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 × $\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$ × R

∴ That is mean The rectangle rotate 270° around the origin

(270° anti-clockwise or 90° clockwise)

and enlargement by scale factor 3

Answer from: orangenavyred

(0, 0), (0, 3), (–3, –3), (–3, 0)

Step-by-step explanation:This is not the answer and i need help PLZ HELP ME

Answer from: gerardoleal1414

Complete Question:

The vertices of a rectangle are given in the columns of the matrix(Shown in the first image).If (Second Image) is found to perform a transformation,what are the coordinates of the transformed rectangle?

A (0, 0), (0, –3), (–3, –3), (–3, 0)

B (0, 0), (0, 3), (3, 3), (3, 0)

C (0, 0), (0, 3), (–3, –3), (–3, 0)

D (0, 0), (0, 3), (–3, 3), (–3, 0)

The answer is D : (0,0),(0,3),(-3,3),(-3,0)

Step-by-step explanation:

From the question we can see that the vertices of the rectangle are given the columns of a matrix(i.e. Image 1) and the second image is found to perform a transformation, so evaluating the transformation would produce a matrix that contains the new vertices of the rectangle.

The Process of evaluation of the transformation(i.e second image) in show in a series of images below.

so the columns of the contain the new vertices of the rectangle its given as

(0,0),(0,3),(-3,3),(-3,0)

The vertices of a rectangle are given in the columns of the matrix . if is found to perform a transf

Answer from: nuts12345

D) (0,0) (0,3) (-3,3) (-3,0)

Answer from: Hazard970

the co-ordinates of the transformed rectangle are:

d. (0, 0), (0, 3), (-3, 3), (-3, 0)

step-by-step explanation:

from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:

(0, 0), (0, 3), (3, 3), (3, 0)

r = $\left[\begin{array}{cc}-1& 0\\0& 1\ \end{array}\right]$

transformed matrix can be obtained by multiplying the given matrix by r:

$\left[\begin{array}{cc}-1& 0\\0& 1\ \end{array}\right] \left[\begin{array}{cccc}0& 0& 3& 3\\0& 3& 3& 0\\ \end{array}\right]$

$=\left[\begin{array}{cccc}0& 0& -3& -3\\0& 3& 3& 0\\ \end{array}\right]$

columns of the transformed matrix are:

0 0 -3 -3

0 3 3 0

from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:

(0, 0), (0, 3), (-3, 3), (-3, 0)

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