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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) ).
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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 are the invariant points of a dilation?
Invariant points of a dilation are the points that remain unchanged under the transformation. In a dilation centered at a point ( C ) with a scale factor ( k ), the invariant point is typically the center ( C ) itself. This means that when a point is dilated with respect to ( C ), it either moves closer to or further away from ( C ), but ( C ) does not move. Therefore, the only invariant point in a dilation is the center of dilation.
How do you graph a dilation?
To graph a dilation, first identify the center of dilation and the scale factor. For each point of the original figure, measure the distance from that point to the center of dilation, then multiply that distance by the scale factor to find the new distance from the center. Plot the new points at these distances, and connect them to form the dilated figure. Ensure that the orientation remains the same and that the shape is proportional to the original.
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
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.
What is the transformation of C(9 3) when dilated with a scale factor of ⅓ using the point (3 6) as the center of dilation?
To find the transformation of the point C(9, 3) when dilated with a scale factor of ⅓ from the center of dilation (3, 6), you first subtract the center coordinates from C's coordinates: (9 - 3, 3 - 6) = (6, -3). Then multiply by the scale factor of ⅓: (6 * ⅓, -3 * ⅓) = (2, -1). Finally, add the center coordinates back: (2 + 3, -1 + 6) = (5, 5). Thus, the transformed point is (5, 5).
Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?
0.5
What are the invariant points of a dilation?
Invariant points of a dilation are the points that remain unchanged under the transformation. In a dilation centered at a point ( C ) with a scale factor ( k ), the invariant point is typically the center ( C ) itself. This means that when a point is dilated with respect to ( C ), it either moves closer to or further away from ( C ), but ( C ) does not move. Therefore, the only invariant point in a dilation is the center of dilation.
How do you solve dilation?
To solve a dilation problem, you first need to identify the center of dilation and the scale factor. The scale factor indicates how much larger or smaller the figure will be compared to the original. For each point on the original figure, you calculate the new coordinates by multiplying the distances from the center of dilation by the scale factor. Finally, plot the new points to create the dilated figure.
How do you graph a dilation?
To graph a dilation, first identify the center of dilation and the scale factor. For each point of the original figure, measure the distance from that point to the center of dilation, then multiply that distance by the scale factor to find the new distance from the center. Plot the new points at these distances, and connect them to form the dilated figure. Ensure that the orientation remains the same and that the shape is proportional to the original.
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
How do you find the scale factor of the dilation with the center at the origin?
To find the scale factor of a dilation with the center at the origin, you can compare the coordinates of a point before and after the dilation. If a point ( P(x, y) ) is dilated to ( P'(x', y') ), the scale factor ( k ) can be calculated using the formula ( k = \frac{x'}{x} = \frac{y'}{y} ), assuming ( x ) and ( y ) are not zero. This scale factor indicates how much the original point has been enlarged or reduced.
How do you find coordinate's dilated?
To find the coordinates of a point after dilation, you multiply the original coordinates by the scale factor. If the point is represented as ( (x, y) ) and the scale factor is ( k ), the new coordinates become ( (kx, ky) ). If the dilation is from a center point other than the origin, you would first subtract the center coordinates from the point, apply the scale factor, and then add the center coordinates back to the result.
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.
