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
igomit [66]
3 years ago
15

The graph shows the dilation of ΔABC with the origin as its center. Which rule describes this transformation? A) (x, y) → (2x, 2

y) B) (x, y) → (0.5x, 0.5y) C) (x, y) → (x + 2, y +2) D) (x, y) → (x - 2, y - 2)
Mathematics
1 answer:
podryga [215]3 years ago
8 0

<u><em>Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.</em></u>

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

  • Enlargement occurs when a dilation does create a larger image.
  • Reduction occurs when a dilation does create a smaller image.
  • A dilation shrinks or stretches the original object.
  • If the scale factor > 1, the image will be a stretch (enlargement)
  • If the scale factor is between 0 and 1, the image will be shrunk (reduction)
  • If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

  • Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

  • Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

Learn more about dilation from brainly.com/question/13846651

#learnwithBrainly

You might be interested in
Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis?
Gala2k [10]
Reflecting the point (x, y) over the x-axis transforms it to the point (x, -y). Then the points (x, f(x)) on the graph of f(x) will be transformed to (x, -f(x)) when the graph is reflected over the x-axis.

The reflection of the function f(x) = |x| is -f(x) = -|x|. If we name the reflected function f(x), we have
  f(x) = -|x|
3 0
3 years ago
Read 2 more answers
Solve the system of equations. y = x2 + 7x - 5 y = 2x + 9
marissa [1.9K]

Answer:

(2, 13)

(-7, -5)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and analyze the graph where the 2 graphs intersects.

6 0
3 years ago
Read 2 more answers
Find the slope and y-intercept of the line: y = 1/5 x - 8
Wewaii [24]

Answer:

B I think is the right answer

8 0
2 years ago
Read 2 more answers
How would I finish solving this?
Zarrin [17]
Hello!

The original equation is:

200 = (5w ÷ 2)8

This problem can be written as:

200 = (5w/2)8

And you can then reduce the numbers with 2:

200 = 5x * 4
200 = 20x
10 = x

Your correct answer is 10.
3 0
3 years ago
Read 2 more answers
does the function represent exponential growth or exponential decay? identify the growth or decay factor. y=9*(1/2)^x
jonny [76]

Answer:

decay

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • A charity organization had a fundraiser where each ticket was sold for a fixed price $70. They had to sell a few tickets just to
    7·1 answer
  • The table below shows the number of marbles of different colors in a bag:
    14·2 answers
  • What’s the value of x
    7·2 answers
  • A professor at a university wants to estimate the average number of hours of sleep students get during exam week. The professor
    10·1 answer
  • I need help with this question
    6·1 answer
  • If the area of a triangular kite is 40 square feet and its base is 4 feet, find the height of the kite. Give solution with units
    6·1 answer
  • If y = 87.5, what is the value for x? 300x + 300 x plus StartFraction 500 over 7 EndFraction y equals 10,000.Y = 10,000 300x + 3
    10·1 answer
  • Help a brother out grades go in tomorrow
    11·2 answers
  • Find the volume of the rectangular prism.
    14·1 answer
  • Determine the amplitude of the following graph.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!