0
What else can I help you with?
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.
What transformation does not preserve distance and angle measure?
A transformation that does not preserve distance and angle measures is a non-rigid transformation, such as a dilation or a shear transformation. In a dilation, the distances from a center point are scaled, changing the size of the figure but not maintaining the original shape. In a shear transformation, the shape is distorted by slanting it in one direction, altering both distances and angles between points. These transformations result in figures that are not congruent to their original form.
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 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 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 by a scale factor of 3 using the origin as the center of dilation?
It is (27, 9).
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.
What transformation does not preserve distance and angle measure?
A transformation that does not preserve distance and angle measures is a non-rigid transformation, such as a dilation or a shear transformation. In a dilation, the distances from a center point are scaled, changing the size of the figure but not maintaining the original shape. In a shear transformation, the shape is distorted by slanting it in one direction, altering both distances and angles between points. These transformations result in figures that are not congruent to their original form.
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 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 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 transformation produces a figure that is similar but not congruent?
A transformation that produces a figure that is similar but not congruent is a dilation. In a dilation, a figure is resized proportionally from a center point, resulting in a shape that maintains the same angles but alters side lengths. This means that while the two figures have the same shape, they differ in size, making them similar but not congruent.
What does the math term dilation mean?
In mathematics, dilation refers to a transformation that alters the size of a geometric figure while keeping its shape and proportions intact. It involves scaling the figure up or down from a fixed point known as the center of dilation, using a scale factor that determines how much the figure is enlarged or reduced. Dilation can be applied in various contexts, including geometry and coordinate transformations.
What is the definition for dilation?
Dilation is a transformation that alters the size of a figure while maintaining its shape and proportional relationships. It involves expanding or contracting the figure around a fixed point called the center of dilation, using a scale factor that determines the degree of enlargement or reduction. This geometric operation preserves the angles and the relative positions of points within the figure.
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).
Every dilation has a?
Center and Scale Factor....
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) ).
