Which graph shows a dilation?Which graph shows a dilation?
Answers
Answer:the 2nd one
Step-by-step explanation:
Answer:
A dilation is a transformation that changes the size of an image without changing its shape or proportions.
It's like how when Ant-Man gets bigger or smaller, each body part changes size by the same amount, so he looks the same - just bigger or smaller than before. Dilating shapes is similar
Step-by-step explanation:
A dilation is a transformation that changes the size of an image without changing its shape or proportions.
It's like how when Ant-Man gets bigger or smaller, each body part changes size by the same amount, so he looks the same - just bigger or smaller than before. Dilating shapes is similar When we dilate shapes on a grid, we need to know the center of dilation and the scale factor.
To help us understand these terms, let’s imagine we have a movable screen and a fixed projector that can’t be moved:
The center of dilation is like the fixed projector: it’s a fixed point from which the image is drawn. The scale factor determines how much smaller or larger the dilated image will be.
If the scale factor is
equal to 1
, we can imagine keeping the distance between the projector and the screen the same, which will make the new image the same as the original.
How to Perform Dilations
Step 1. Identify the center of dilation.
Imagine this as the fixed location of the projector.
Origin (0,0)
Different Point (x,y)
Step 2. Identify the original points of the polygon.
Imagine this as the original image before the screen is moved.
original points=(x
1
,y
1
),(x
2
,y
2
),...,(x
n
,y
n
)
Step 3. Identify the scale factor .
If the scale factor is
equal to 1
, we can imagine keeping the distance between the projector and the screen the same, which will make the new image the same as the original.
Step 4. Multiply each original point of the polygon by the scale factor to get the new points.
original points×scale factor
(x
original
, y
original
)×scale factor
=new points
=(x
new
, y
new
)
Original Point × Scale Factor = New Point
(x
1
, y
1
) × s = (x
1
×s, y
1
×s)
(x
2
, y
2
) × s = (x
2
×s, y
2
×s)
... × s = ...
(x
n
,y
n
) × s = (x
n
×s, y
n
×s)
Step 5. Plot the new points and connect the dots to get your dilated shape.
https://brainly.in/question/18508960
#SPJ3