(–2) + 6 + 1 = 1 + 6 + (–2) what property is this

Which rule describes the translation below ? In the picture

rewona [7]

The translation rule which describes the given translation is $\fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}$ .

Further explanation:

Translation is defined as the shifting of the curve in which each point on the curve is shifted in such a way that the shape and size of the curve remains unchanged but the position of each point is changed by a fixed distance.

In the given figure there are two right angle triangle as $S'T'U'$ and $STU$ .

The coordinates of the right angle triangle $S'T'U'$ are $(-4,2),(-4,-2)$ and $(-1,-2)$ and the coordinates of the right angle triangle $STU$ are $(1,5),(1,1)$ and $(4,1)$ .

Consider that the triangle $STU$ is obtained after the translation of each point on the triangle $S'T'U'$ .

The coordinate of the point $S'$ in triangle $S'T'U'$ is $(-4,2)$ .

Step 1:

Use the translation $(x,y)\rightarrow(x-5,y-3)$ for the point $S'$ .

$\fbox{\begin\\\(-4,2)\rightarrow(-4-5,2-3)=(-9,-1)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x-5,y-3)$ the coordinate of the point $S$ is $(-9,-1)$ , but in the given figure the coordinate of the point $S$ is $(1,5)$ .

So, the translation $(x,y)\rightarrow(x-5,y-3)$ is incorrect.

Step 2:

Use the translation $(x,y)\rightarrow(x-3,y-5)$ for the point $S'$ .

$\fbox{\begin\\\(-4,2)\rightarrow(-4-3,2-5)=(-7,-3)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x-3,y-5)$ the coordinate of the point $S$ is $(-7,-3)$ , but in the given figure the coordinate of the point $S$ is $(1,5)$ .

So, the translation $(x,y)\rightarrow(x-3,y-5)$ is incorrect.

Step 3:

Use the translation $(x,y)\rightarrow(x+5,y+3)$ for the point $S'$ .

$\fbox{\begin\\\(-4,2)\rightarrow(-4+5,2+3)=(1,5)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x+5,y+3)$ the coordinate of the point $S$ is $(1,5)$ which is correct as the coordinate for the point $S$ given in the figure is $(1,5)$ .

Step 4:

Use the translation $(x,y)\rightarrow(x+5,y+3)$ for the point $T'$ .

$\fbox{\begin\\\(-4,-2)\rightarrow(-4+5,-2+3)=(1,1)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x+5,y+3)$ the coordinate of the point $T$ is $(1,1)$ which is correct as the coordinate for the point $T$ given in the figure is $(1,1)$ .

Step 5:

Use the translation $(x,y)\rightarrow(x+5,y+3)$ for the point U’.

$\fbox{\begin\\\ (-1,-2)\rightarrow(-1+5,-2+3)=(4,1)\\\end{minispace}}$

As per the translation $(x,y)\rightarrow(x+5,y+3)$ the coordinate of the point $T$ is $(4,1)$ which is correct as the coordinate for the point $U$ given in the figure is $(4,1)$ .

As per the above calculation it is concluded that the translation $(x,y)\rightarrow(x+5,y+3)$ is correct for the shifting of each point on the triangle $S'T'U'$ to each point on the triangle $STU$ .

The translation of each point on the triangle $S'T'U'$ is shown in the image attached below.

Therefore, the correct translation rule for the shifting of the triangle $S'T'U'$ to the triangle $STU$ is $\fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}$

Learn more:

A problem to determine the range of a function brainly.com/question/3852778
A problem to determine the vertex of a curve brainly.com/question/1286775
A problem to convert degree into radians brainly.com/question/3161884

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: Translation, shifting, graph, geometry, coordinate geometry, coordinates, shifting of graph, triangle, right angle triangle, movement of curve, shifting of curve, translation of curve.

7 0

3 years ago

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How do I solve this 6-3=□-2

Sonja [21]

Well, first what is 6-3=3 so now whats 3-2? 3-2=1
6-3=3-2

8 0

3 years ago

Which is the most accurate way to estimate 50% of 41?

sasho [114]

Answer:

The easiest way is to round down to 40 and take 50% of that, which is 20. The actual answer is 20.5.

Step-by-step explanation:

5 0

3 years ago

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Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a

Andru [333]

Distance =rate/time so your answer is 3 hours first you have to convert meters to kilometers 921000 meters = 921 Km so you have like terms to calculate so your distance becomes 921 Km then divide by the speed 907÷3 = 3 so your answer is 3 hrs

7 0

3 years ago

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Which of the following us the graph of you=5

JulijaS [17]

Y = 5

i think that what you meant

so the point will be (0,5) and will be a horizontal line at y=5

hope that helps

5 0

3 years ago