Question
Find the coordinates of image of line AB with vertices A(2, 1), B(4, 1). Use a scale factor of 2 in dilation.
- A’(4, -2) and B’(8, 2)
- A’(4, 2) and B’(8, 2)
- A’(-4, 2) and B’(8, 2)
- A’(4, 2) and B’(8, -2)
Hint:
Multiply the scale factor with the coordinates of the line to find the coordinates of its image.
The correct answer is: A’(4, 2) and B’(8, 2)
Given,
Coordinates of line AB are A(2, 1), B(4, 1).
Scale factor k = 2
To find,
Coordinates of image of line AB i.e. line A'B'
Here,
(x, y) → (2x, 2y)
A(2, 1) → A’(4, 2)
B(4, 1) → B’(8, 2)
Therefore, the coordinates of image of line AB are A’(4, 2) and B’(8, 2)
Related Questions to study
Given the scale factor is 2.5, state the dilation.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
Given the scale factor is 2.5, state the dilation.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
Given the scale factor is 0.5, state the dilation.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
Given the scale factor is 0.5, state the dilation.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
If k > 1, then the reduction is a _____________.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
If k > 1, then the reduction is a _____________.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
If 0 < k < 1, then the dilation is a ____________.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
If 0 < k < 1, then the dilation is a ____________.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
The ___________of a dilation is the ratio of a side length of the image to the corresponding side length of the original figure.
A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
The ___________of a dilation is the ratio of a side length of the image to the corresponding side length of the original figure.
A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
In a dilation, a figure is enlarged or reduced with respect to a fixed point called the _________ of dilation.
This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing
In a dilation, a figure is enlarged or reduced with respect to a fixed point called the _________ of dilation.
This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing
are A(2, 4), B(6, 0), and C(7, 2). Find coordinates of the image of after the composition of the transformations in the order they are listed.
