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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 = 3
y: 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 else can I help you with?
What is the transformation of C(9 3) when dilated by a scale factor of 3 using the origin as the center of dilation?
It is (27, 9).
Every dilation has a?
Center and Scale Factor....
What is the image of P for a dilation with center 0 0 and a scale factor of 2.5?
It is (2.5x, 2.5y) where P =(x,y).
What is the image of P for a dilation with center (0 0) and a scale factor of 2.5?
It is (2.5x, 2.5y) where P =(x,y).
Is a scale factor of 1 a dilation?
No a scale factor of 1 is not a dilation because, in a dilation it must remain the same shape, which it would, but the size must either enlarge or shrink.
What is the transformation of C(9 3) when dilated by a scale factor of 3 using the origin as the center of dilation?
It is (27, 9).
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.
Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?
0.5
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 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.
What does dilated mean in math?
it means a transformation in which a polygon is enlarged or reduced by a given factor around a given center point.so its an enlargmant or a reduction
Which type of transformation uses a scale factor?
A similarity transformation uses a scale factor to enlarge or reduce the size of a figure while preserving its shape. It includes transformations such as dilation and similarity.
Every dilation has a?
Center and Scale Factor....
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.
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.
A photographer knows that the center of a camera lens acts as a center of dilation, where the image of an object forms behind the lens.Is the scale factor for this dilation negative or positive?
Negative
