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
A developer has 7 1/2 acres of land to build houses on. If each house is to be built on -1/4 acre plot, how many houses can he b
mel-nik [20]
It’s either A.3 or C.30
6 0
2 years ago
How to plug into the table the y-coordinate​
barxatty [35]

Step-by-step explanation:

the y coordinate is always the second value. for example, if u have (3,2) the y value is 2

6 0
2 years ago
For the graph, identify the axis of symmetry, vertex, y-intercept, max/min, and domain and range
kirill [66]

In the present problem, it is presented a figure of a graph of a parabola with concavity facing up, what implies in that the graph will not have a Max., but a Min. value, and it is in the vertex.

Let us start with the A.O.S. (Axis Of Symmetry). For a parabola, it is the line that passes in the minimum point, that can be identified in the present figure as being in the x = - 1 point. And for this reason, we are able to answer the first part as:

A.O.S.: x = -1

Now, as mentioned above, the vertex lies in the minimum point, which is located in the x = -1 and with height y = 2. This allow us to answer the second part as:

Vertex: (-1, 2)

About the y-interception, it happens when the graph passes through the y-axis. It happens when x = 0, and the answer is just the value of Y where the graph assumes x=0, which is at:

Y-intercept: y = 4

Because the parabola has concavity facing up, the graph presents a value of minimum, but no maximum. And this is possible to be identified as the point where x = -1 and y = 2, which lead us to the following answer for the third part of the question:

Min.: (-1 , 2)

The domain for any second-order polynomial is the entire real number because there is no restriction for the value of x. And for this reason, the answer of the fourth part of the answer is:

Domain: All real numbers

About the range, for a parabola with the concavity facing up, it can be determined as all the real numbers bigger or equal to the minimum value of the function, which is y = 2. From this reason, we are able to answer the last part of the question as:

Range: All real numbers ≥ 2
8 0
10 months ago
Sandra has 18 yards of fabric. how many 4-inch Pisces can she cut from her original piece
Korvikt [17]

She can cut up the 18 yards into 162 Pisces of 4 inches each. From those, if she works carefully, she can make 81 pairs of little Bootes.

6 0
3 years ago
What are 3 number sentences that equals 1?
wolverine [178]

Answer:

.25 X 4 = 1

.50 X 2 = 1

.10 X 10 = 1

Step-by-step explanation:

:)

6 0
2 years ago
Other questions:
  • Record the product 8x43 using expanded form to help
    12·1 answer
  • Please explain your answer. Thank you.
    11·2 answers
  • Please hurry please
    5·2 answers
  • Eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    11·2 answers
  • 16. Mario has $15. He spends $6.25 on admission to the ice
    14·1 answer
  • Evaluate the expression 3^4 divide (14 — 5) x 2.
    8·2 answers
  • Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about poin
    14·1 answer
  • Help plz..And No links!! I repeat No links!!
    14·1 answer
  • someone please help me with this if one person already answers then dont answer i only have a few points left and need it for sc
    8·1 answer
  • Solve pls brainliest
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!