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How are the coordinates of a pre-image affected by a translation?

When a pre-image undergoes a translation, each coordinate of the pre-image is adjusted by adding a fixed value, known as the translation vector. This means that every point of the pre-image moves the same distance and direction, resulting in a new set of coordinates for the image. The relative positions of the points remain unchanged, preserving the shape and size of the figure. For example, if a point (x, y) is translated by (a, b), its new coordinates will be (x + a, y + b).


How are coordinates of the image related to the coordinates of the preimage?

The coordinates of the image are typically related to the coordinates of the preimage through a specific transformation, which can include translations, rotations, reflections, or dilations. For example, if a transformation is defined by a function or a matrix, the coordinates of the image can be calculated by applying that function or matrix to the coordinates of the preimage. Thus, the relationship depends on the nature of the transformation applied.


What are the coordinates of the image produced by applying the composition?

To determine the coordinates of the image produced by a composition of transformations, you'll need to apply each transformation step-by-step to the original coordinates. Start with the first transformation, apply it to the coordinates, and then take the resulting coordinates and apply the next transformation. The final coordinates after all transformations will give you the image's location. If specific transformations and original coordinates are provided, I can give a more precise answer.


A triangle has points A(2, 3), B(2, 6), and C(7, 3) and is reflected over the x-axis. A'B'C' are the coordinates of the reflected image. What is the A' coordinate?

(2, -3)


The midpoint of ab is m (-2, -4) if the coordinates of a are (-3, -5) what are the coordinates of B?

The coordinates of point B can be calculated using the midpoint formula. The midpoint formula is used to find the midpoint of two points, and is calculated by taking the average of the x-coordinates and the average of the y-coordinates. In this case, we are given the midpoint of AB, which is (-2, -4). We also know the coordinates of point A, which are (-3, -5). Using the midpoint formula, we can calculate the x-coordinate of point B by taking the average of the x-coordinates of points A and M. This is (-3 + -2)/2 = -2.5. We can calculate the y-coordinate of point B in a similar way. This is (-5 + -4)/2 = -4.5. Therefore, the coordinates of point B are (-2.5, -4.5).

Related Questions

Point (a b) is translated 4 units down. What are the coordinates of the image of (a b)?

They are (a, b-4).


Describe how to find the coordinates of the image of a point after a 270 degree rotation?

Point A has coordinates (x,y). Point B (Point A rotated 270°) has coordinates (y,-x). Point C (horizontal image of Point B) has coordinates (-y,-x).


How are the coordinates of a pre-image affected by a translation?

When a pre-image undergoes a translation, each coordinate of the pre-image is adjusted by adding a fixed value, known as the translation vector. This means that every point of the pre-image moves the same distance and direction, resulting in a new set of coordinates for the image. The relative positions of the points remain unchanged, preserving the shape and size of the figure. For example, if a point (x, y) is translated by (a, b), its new coordinates will be (x + a, y + b).


How are coordinates of the image related to the coordinates of the preimage?

The coordinates of the image are typically related to the coordinates of the preimage through a specific transformation, which can include translations, rotations, reflections, or dilations. For example, if a transformation is defined by a function or a matrix, the coordinates of the image can be calculated by applying that function or matrix to the coordinates of the preimage. Thus, the relationship depends on the nature of the transformation applied.


How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?

That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.


What are the coordinates of the image produced by applying the composition?

To determine the coordinates of the image produced by a composition of transformations, you'll need to apply each transformation step-by-step to the original coordinates. Start with the first transformation, apply it to the coordinates, and then take the resulting coordinates and apply the next transformation. The final coordinates after all transformations will give you the image's location. If specific transformations and original coordinates are provided, I can give a more precise answer.


A triangle has points A(2, 3), B(2, 6), and C(7, 3) and is reflected over the x-axis. A'B'C' are the coordinates of the reflected image. What is the B' coordinate?

(2, -6)


A triangle has points A(2, 2), B(2, 4), and C(6, 3) and is reflected over the x-axis. A'B'C' are the coordinates of the reflected image. What is the B' coordinate?

(2, -4)


M is the midpoint of line segment AB. A has coordinates (3-7) and M has coordinates (-11). What is the coordinates of B?

B is (-5, 9).


What are the coordinates for an image on a dilation with a center at the origin?

it is nothing


What are the coordinates of point W on the final image?

To provide the coordinates of point W on the final image, I would need specific details about the image or a description of the context in which point W is located. Please share additional information or a reference to the image, and I’d be glad to help!


What are the coordinates of the reflection of (a b) over the y-axis?

They are (-a, b).