1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexeev081 [22]
3 years ago
5

Choose all of the statements that correctly describe the transformation rule. Reflection over x-axis: (x, y) ? (?x, y) Reflectio

n over y-axis: (x, y) ? (x, ?y) Rotation of 90° counter-clockwise about origin: (x, y) ? (?y, x) Rotation of 180° counter-clockwise about origin: (x, y) ? (?x, ?y) Rotation of 270° counter-clockwise about origin: (x, y) ? (y, ?x)
Mathematics
1 answer:
matrenka [14]3 years ago
3 0
<h2>Answer:</h2>

Transformations are important subjects in geometry. In this exercise, these are the correct transformation rules:

<h3>1. Reflection over x-axis:</h3>

Consider the point (x,y), if you reflect this point across the x-axis you should multiply the y-coordinate by -1, so you get:

\boxed{(x,y)\rightarrow(x,-y)}

<h3>2. Reflection over y-axis: </h3>

Consider the point (x,y), if you reflect this point across the y-axis you should multiply the x-coordinate by -1, so you get:

\boxed{(x,y)\rightarrow(-x,y)}

<h3>3. Rotation of 90° counter-clockwise about origin: </h3>

Consider the point (x,y). To rotate this point by 90° around the origin in counterclockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:

\boxed{(x,y)\rightarrow(-y,x)}

<h3>4. Rotation of 180° counter-clockwise about origin:</h3>

Consider the point (x,y). To rotate this point by 180° around the origin, you can flip the sign of both the x- and y-coordinates. In a mathematical language this is as follows:

\boxed{(x,y)\rightarrow(-x,-y)}

<h3> 5. Rotation of 270° counter-clockwise about origin: </h3>

Rotate a point 270° counter-clockwise about origin is the same as rotating the point 90° in clock-wise direction. So the rule is:

\boxed{(x,y)\rightarrow(y,-x)}

You might be interested in
Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n
sveticcg [70]

Answer:

a) there is s such that <u>r>s</u> and s is <u>positive</u>

b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

3 0
3 years ago
Help me please ASAP !!!!!!!
kodGreya [7K]

Answer:

its A

PLS MARK AS BRAINLESS I MEAN BRAINLIEST :)

Step-by-step explanation:

6 0
2 years ago
How to you find surface area of a prism
KonstantinChe [14]
You 2l x 2w and blah blah blah blah blah blah blah blah
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%3D%20%5Cfrac%7Bx%20-%204%7D%7B3%7D" id="TexFormula1" title="\frac{5}{
valentina_108 [34]

Step-by-step explanation:

\frac{5}{2}  =  \frac{x - 4}{3}

3 \times \frac{5}{2}  =  \frac{x - 4}{3}

\frac{3}{1}  \times  \frac{5}{2}  =  \frac{x - 4}{3}

cross multiplication

\frac{6 \times 5}{2}  =  \frac{x - 4}{3}

15 =  \frac{x - 4}{3}

15 \times 3 = x - 4

45 + 4 = x

49 = x

4 0
3 years ago
Read 2 more answers
Select the THREE equations that this diagram could represent.
Vladimir [108]

<u>Question </u>

Select the three equations that this diagram could represent.

<u>                                                                                                                                     </u>

<u>Answer</u>

<em>Well, we first have to find out what the diagram says.</em>

<em>So what the diagram says is that  18 + 18 + 18 = 54.</em>

<em>Given this information,  we have to figure what other answers = 54.</em>

<em>Therefore the answers are </em>

(A) 18 * 3 = 54.

(D) 54/18 = 3

(E) 54/3 =18

6 0
3 years ago
Other questions:
  • A school receives a shipment of books. There are 60 cartons, and each carton weighs 42 pounds. The school's elevator can hold 22
    9·1 answer
  • Ok, last one I promise.
    10·1 answer
  • To measure the satisfaction of their customers Ali Baba restaurant sends out 1000 surveys to their customers. Out of the 823 sur
    5·1 answer
  • What is 3x^3-8x^3-5x+6 subtracted from x^4+3x^2+5x*6
    8·1 answer
  • Solve for the perimeter and area of a rectangle that has a length of 4in. and a width of 2 in
    12·2 answers
  • Please help me :( Due today
    11·1 answer
  • What expression can be used to determine the total cost of buying c pounds of cashews for $3.85
    14·1 answer
  • Alex is 4 years younger than 2 times his sister's age. Write a rule that represents Alex's age x as a function of his sister's a
    13·2 answers
  • Find the average of the following numbers: 26, 32, 47, 55.
    9·2 answers
  • 1/5 (4-3x) = 1/7 (3x - 4)<br><br> pls solve it pls pls
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!