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What is the transformation of B(4 8) when dilated by a scale factor of 2 using the origin as the center of dilation?
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
What is a point with respect to which a figure is dilated?
dilation
What is the transformation of c(93) when dilated by a scale factor of 3 using the origin as the center of dilation?
To dilate the point ( c(93) ) by a scale factor of 3 using the origin as the center of dilation, you multiply the coordinates of the point by 3. If ( c(93) ) refers to the point ( (9, 3) ), the transformed coordinates would be ( (9 \times 3, 3 \times 3) = (27, 9) ). Therefore, the transformed point after the dilation is ( c(27, 9) ).
What are the coordinates of point a after being dilated by a factor of 3?
To find the coordinates of point A after being dilated by a factor of 3, you multiply the original coordinates (x, y) of point A by 3. For example, if point A has coordinates (2, 4), the new coordinates after dilation would be (2 * 3, 4 * 3) or (6, 12). Thus, the coordinates of point A after dilation depend on its original position.
How are the coordinates of the new point found if it is dilated with a scale factor of 3?
molly-tyga
What is the transformation of B(4 8) when dilated by a scale factor of 2 using the origin as the center of dilation?
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
How does dilation effect the coordinates of dilated points?
Well this is my thought depending on where the point of dilation is the coordinates of the give plane is determined. The point of dilation not only is main factor that positions the coordinates, but the scale factor has a huge impact on the placement of the coordinates.
What is a point with respect to which a figure is dilated?
dilation
How are the coordinates of the new point found if it is dilated with a scale factor of 3?
molly-tyga
What are the coordinates of the image of the point (-412) under a dilation with a scale factor of 4 and the center of dilation at the origin?
If the original point was (-4, 12) then the image is (-16, 48).
What is the image of Q for a dilation with center (0 0) and a scale factor of 0.5?
To find the image of point Q under a dilation centered at (0, 0) with a scale factor of 0.5, you multiply the coordinates of Q by 0.5. If Q has coordinates (x, y), the image of Q after dilation will be at (0.5x, 0.5y). This means that the new point will be half the distance from the origin compared to the original point Q.
What is A transformation that is determined by a center point and a scale factor?
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
A transformation in which the figure grows larger is called?
A transformation in which the figure grows larger is called dilation. In dilation, every point of the figure is moved away from a fixed center point by a scale factor greater than one. This results in a proportional increase in the size of the figure while maintaining its shape.
What does dialation mean in math context?
In mathematics, dilation refers to a transformation that alters the size of a geometric figure while maintaining its shape and proportions. This involves resizing the figure by a scale factor relative to a fixed point known as the center of dilation. A scale factor greater than one enlarges the figure, while a scale factor between zero and one reduces it. Dilation is commonly used in geometry to study similar figures and their properties.
What is the transformation of B(2 4) when dilated with a scale factor of ½ using the point (4 6) as the center of dilation?
When doing enlargements through a centre, the new position of any point is the distance of that point from the centre multiplied by the scale factor; it is easiest to treat the x- and y- coordinates separately.To enlarge (2, 4) by a scale factor of ½ with (4, 6) as the centre of enlargement:x: distance is (4 - 2) = 2 → new distance is 2 × ½ = 1 → new x is 2 + 1 = 3y: distance is (6 - 4) = 2 → new distance is 2 × ½ = 1 → new y is 4 + 1 = 5→ (2, 4) when enlarged by a scale factor of ½ with a centre of (4, 6) transforms to (3, 5).
What are the coordinates of the image of the point (8-9) after a dilation by a scale factor of 5 origin as the dilation followed by a translation over the x-axis?
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
What is the image of P for a dilation with center (0 0) and a scale factor of 2.5 p is (1-2)?
Multiply the distance of each coordinate from the center by the scale factor to get the new position: new_coord = center_coord + (old_coord - center_coord) x scale_factor. The x and y coordinates are worked out separately; for (1, -2), center (0, 0), scale factor 2.5: new_x = 0 + (1 - 0) x 2.5 = 2.5 new_y = 0 + (-2 - 0) x 2.5 = -5 → P (1, -2) goes to (2.5, -5) under the transformation.
