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inysia [295]
3 years ago
13

Please help! I’m timed!!!

Mathematics
1 answer:
gregori [183]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?
FinnZ [79.3K]

The correct option is Option D \boxed{{r_{y-axis}}o{R_{0,270^\circ }}\left({x,y}\right)} .

Further explanation:

A translation is a transformation that transforms the figure with a fixed distance in the same direction.

A rotation is the transformation that rotates the figure with given angles.

Given:

It is given that the two transformations that maps pre-image PQRS to image {\text{P''Q''R''S''}} .

Step by step explanation:

Step 1:

It can be seen from the given figure that that the pre image is in the first quadrant and the image is the third quadrant.

The coordinates in the second quadrant represents as \left({-x,y}\right)  and in the third quadrant represents as \left({-x,-y}\right)  if x,y  are positive.

Therefore, the rotation is in the counter clockwise direction of 270^\circ .

Step 2:

The rotation of 270^\circ  in the counter clockwise direction represents the coordinates as,  

  \left({x,y}\right)\to\left({y,-x}\right)

It can be seen that the coordinate of {\text{PQRS}}  are as follows,

\begin{aligned}P=\left({1,1}\right)\hfill\\Q=\left(1,5}\right)\hfill\\R=\left({3,5}\right)\hfill\\S=\left({3,1}\right)\hfill\\\end{aligned}

Then after rotation of 270^\circ  counterclockwise on {\text{PQRS}}  \left( {x,y}\right)\to\left({y,-x}\right)   as,

  \begin{gathered}P\left({1,1}\right)\to\left({1,-1}\right)\hfill\\Q\left({1,5}\right)\to\left({5,1}\right)\hfill\\R\left({3,5}\right)\to\left({5,-3}\right)\hfill\\S\left({3,1}\right)\to\left({1,-3}\right)\hfill\\\end{gathered}

Step 3:

Now apply the rule of y  axis of reflection {R_{y-axis}}\left({x,y}\right)\to\left({-x,y}\right)  on the above transformation as,

\begin{gathered}\left({1,-1}\right)\to\left({-1,1}\right)=P''\hfill\\\left({5,1}\right)\to\left({-5,-1}\right)=Q''\hfill\\\left({5,-3}\right)\to\left({-5,-3}\right)=R''\hfill\\\left({1,-3}\right)\to\left({-1,-3}\right)=S''\hfill\\\end{gathered}

Therefore, the given transformation is the rotation of 270^\circ  counterclockwise followed by y  axis of reflection.

Therefore, this is the composition of transformation.

The composition of the given transformation can be written as,

   {r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)

Therefore, option D {r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)  is correct.

Learn more:  

  • Learn more about what is the final transformation in the composition of transformations that maps pre-image abcd to image a"b'c"d"? a translation down and to the right a translation up and to the right a 270° rotation about point b' a 180° rotation about point b' <u>brainly.com/question/2480946</u>
  • Learn more about the transformation of function <u>brainly.com/question/7297858 </u>
  • Learn more about midpoint of the segment <u>brainly.com/question/3269852</u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Transformations

Keywords: transformations, dilation, translation, rotation, counterclockwise, angle, clockwise, coordinates, mapping, rigid transformation, right side, left side, quadrant, composition.

3 0
3 years ago
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Are women better at multitasking than men? Researchers conducted a multitasking experiment in which 120 men and 120 women played
stich3 [128]

Answer:

Yes, women better at multitasking than men.

Step-by-step explanation:

Given

n_1=120 --- Men

n_2=120 --- Women

\bar x_2 > \bar x_1 --- Women with greater average speed

Required

Does women better at multitasking?

When making comparison between two variables that are subjected to the same conditions;

If both variables have different mean values; the variable with the greater mean value performs better.

So, in this case:

\bar x_2 > \bar x_1 means that women perform better than men, at multitasking.

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2 years ago
What is 3 multiplied by 1 8/11 as a mixed number or fraction
maks197457 [2]

Answer:

5 2/11

Step-by-step explanation:


6 0
3 years ago
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Solve the system using elimination. *<br> 2x + 3y = - 10<br> -4x + 5y = -2<br> Your answer
sesenic [268]

Answer:

2x + 3y=-10 is incorrect (I think)

When you mulitply something with no negative you get something with no negative

Hope this helps :)

I AM HERE TO HELP >:D

8 0
3 years ago
HELP PLEASE 15 points
andrey2020 [161]

Answer:

The 1rst from top

Step-by-step explanation:

That is a formula to find an area.

5 0
3 years ago
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