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
SOVA2 [1]
2 years ago
8

Rotation 90 degrees counterclockwise about the origin​

Mathematics
1 answer:
telo118 [61]2 years ago
4 0

I'm going to try my best to explain 90° rotation:

So, you know that if you rotate something 180°, it's completely flipped (think about spinning around half-way).

Or if you spin something 360°, you spin around the whole way and end up in the same spot that you did when you started.

Notice how 90 is actually 1/4 of 360.

So imagine spinning instead of 180, spinning half of that. so you <em>barely</em> rotate. That's exactly what you're doing to this shape here. and if you do it about the origin counterclockwise, the origin is (0,0) so I drew it in Quadrant III, as you can see in my attachment.

You can see that every point has been moved by 90°, I put all of the variables there so you could visualize it better!

I hope this helped, let me know if you have any questions! :)

You might be interested in
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (
irga5000 [103]

Answer:

The correct option is;

Use a scale factor of 2

Step-by-step explanation:

The parameters given are;

A = (1, -6)

B = (5, -6)

C = (6, -2)

D = (0, -2)

A'' = (1.5, 4)

B'' = (3.5, 4)

C'' = (4, 2)

D'' = ( 1, 2)

We note that the length of side AB in polygon ABCD = √((5 -1)² + (-6 - (-6))²) = 4

The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2

Which gives;

AB/A''B'' = 4/2 = 2

Similarly;

The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17

The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2

Also we have;

The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6

The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3

For the side DA  and D''A'', we have;

The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17

The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2

Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2

The correct option is therefore;

Use a scale factor of 2.

3 0
3 years ago
Read 2 more answers
In the set of numbers from 1 to 12 which elements are in both the subset of even numbers and the subsets of the multiples of 4?
agasfer [191]

The answers are 4,8, and 12.

5 0
3 years ago
Qual o valor de Pi ?
Igoryamba
<h2>Hello my friend.</h2>

The Pi value is approximately equal to 3.14.

<h2>I hope I have helped a lot.</h2>
3 0
3 years ago
Please help me asap for 50 points :(
Gala2k [10]
A maybe I’m not sure
3 0
3 years ago
Read 2 more answers
The TV weather forecaster announces that one location has a 75% chance of sleet tomorrow and a 5% chance of snow. What is the pr
alexandr1967 [171]

Answer:

80%

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • 125% of a number is 65. Find the number
    11·2 answers
  • Use the distributive property to rewrite the following expression.
    13·2 answers
  • Solve for x please!!!!
    14·1 answer
  • Three-fourths was subtracted from a number, and then 5/4 was added to the result. The sum was -7.
    13·1 answer
  • The index of refraction of quartz is anisotropic. Suppose that visible light is passing from one grain to another of different c
    5·1 answer
  • Leah will purchase a DVD and a CD. Which algebraic expression could Leah use to find the value of these items?
    6·1 answer
  • Can someone help me with this fast please?<br> Thank You
    14·1 answer
  • 3 equivalent ratios for 1/10
    14·2 answers
  • HELP THIS IS DUE SOON
    7·2 answers
  • Three friends just out of culinary school have applied for a loan to open a new restaurant in the heart of New York City. The ba
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!