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
ale4655 [162]
2 years ago
5

How do you find the center of dilation for a negetive dilation?​

Mathematics
2 answers:
worty [1.4K]2 years ago
6 0

Answer:

Let's review a dilation takes a segment not going through the center to a parallel line and a segment going through the center to the same. Line. In this diagram. You see segment a b is the pre-image.

Step-by-step explanation:

And negative 12 negative 10 is located right here. After locating your Center dilation you must determine its distance to each of the three points of the triangle. You could use the Pythagorean theorem to calculate this distance. And then the long distance. But what you see is is that the corresponding. The point is now twice as far from your center of dilation. Just consider for a moment what would happen if you enlarge the by the scale factor of 2. Okay. So for instance, if I wanted to enlarge this point basic electro two I went one to the left and one down. Because I'm multiplying by one and a half I'm going to go along. Or down one and a half so this now becomes a flash. Lines drawn through each point on the pre-image and its corresponding image point will intersect at the center of dilation. When the origin is the center of dilation, each point on the pre-image (x,y) corresponds to (kx, ky). The way to do this when it's centered at the origin is just to multiply the coordinates of your original. Figure by the scale factor.

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.

Scale Factor: The scale factor in a dilation is the amount by which the figure is stretched or shrunk. Center of Dilation: The center of dilation is a reference point used to appropriately scale the dilation of a figure.

What happens if we dilate an entire line? If that line passes through the point which is the center of the dilation, nothing will change. Remember that the image point formed by a dilation will lie on a straight line connecting the pre-image point to the center of the dilation.

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.

The sides of the triangles adjacent to the center of dilation will be collinear. The third side of the preimage and image will be parallel. The vertex used as the center of dilation will be in the same location in both triangles.

Andrei [34K]2 years ago
5 0

the Answer:

Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.

Note:

A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).

What happens when scale factor k is a negative value?

If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)

Let's see how a negative dilation affects a triangle:

Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.

You might be interested in
The difference between a number p and 6 is −14.
Bas_tet [7]

Answer:

the answer is -8 = p

Step-by-step explanation:

you stated that the difference of the two is -14, making it p - 6 = -14.

-8 - 6 = -14

6 0
2 years ago
Read 2 more answers
Solve for x:<br><br><br><br> 2 x + 10 + 2 x - 6 = 36
skad [1K]
Group together the like terms (plus 2x with 2x) (subtract 10 by 6)

4x+4=36

Move plus four to the other side as a negative

4x=32

Divide both sides by 4

32 divided by 4 is 8


Therefore, x is equal to 8
7 0
3 years ago
Casandra is calculating how much interest she will earn in investments that are eating simple interests. She knows that simple i
Zinaida [17]

Answer:

Principal = $500

Interest = $37.50

Rate = 0.025 = 2.5%

Time = 3 years

Step-by-step explanation:

The formula for simple interest is I = PRT ÷ 100

Casandra's equation = I= 500(0.025)(3)=$37.50

Principal = $500

Interest = $37.50

Rate = 0.025 = 2.5%

Time = 3 years

3 0
3 years ago
Look at the figure find the value of x for which l || m
Orlov [11]

Answer:

x=5

Step-by-step explanation:


19x and its vertical angle are equal.  Lets call that angle y

<y and 17x are same side interior angles.  Same side interior angles add to 180 if the lines are parallel.  Since l is parallel to m.

<y + 17x=180

We know that y and 19x are equal since they are vertical angles, so we can substitute this in.

19x+ 17x = 180

Combine like terms.

36x = 180

Divide each side by 36

36x/36 = 180/36

x = 5

8 0
3 years ago
D = 18 in. Fine the radius or diameter of each circle with the given dimensions. ​
Alborosie

Answer:

r= 9

Step-by-step explanation:

radius (r) = diameter (D)/2

= 18/2

= 9

4 0
3 years ago
Other questions:
  • 5. &amp; 7. simplify <br> 9. &amp; 11. factor completely
    10·1 answer
  • Please help ;-;, I really need it-
    9·1 answer
  • QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!
    14·1 answer
  • How do you change 0.81 into a fraction
    13·1 answer
  • Can someone plz help me!!
    15·1 answer
  • A private ship carries two types of cargo: large crates and extra-large crates. Each type of crate weighs a specific amount.
    6·1 answer
  • PLSSSSSS HELPPP!!! FASTTTTTTT
    8·2 answers
  • What’s the value please
    5·2 answers
  • Please help me with this
    7·1 answer
  • Please help, thank you!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!