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The hyperbolas is the point halfway between its two vertices?
center
How do you calculate the distance between the center of cube and its vertices in 3 dimension?
By using Pythagoras' theorem.
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.
Why does a dilation transform a figure?
A dilation transforms a figure by scaling it proportionally from a fixed center point, known as the center of dilation. This process changes the size of the figure while maintaining its shape and the relative positions of its points. Each point in the original figure moves away from or toward the center of dilation based on a specified scale factor, resulting in a larger or smaller version of the original figure. Thus, dilation preserves the geometric properties, such as angles and ratios of distances.
How can you determine whether a dilation's is a reduction or a enlargement?
To determine whether a dilation is a reduction or an enlargement, compare the scale factor to 1. If the scale factor is greater than 1, the dilation is an enlargement, as the image will be larger than the original. Conversely, if the scale factor is between 0 and 1, the dilation is a reduction, resulting in a smaller image. Additionally, you can observe the distances from the center of dilation; if they increase, it's an enlargement, and if they decrease, it's a reduction.
What is the point halfway between the hyperbolas two vertices?
center center
What is the hyperbola's point halfway between its two vertices?
Center
The hyperbolas is the point halfway between its two vertices?
center
What are the two key characteristics of a dilation?
The two key characteristics of a dilation are the center of dilation and the scale factor. The center of dilation is a fixed point in the plane from which all other points are expanded or contracted. The scale factor determines how much the figure is enlarged or reduced; a scale factor greater than one enlarges the figure, while a scale factor between zero and one reduces it. Dilation preserves the shape of the figure but changes its size.
What is the relationship between a triangle and a 7-chord in geometry?
In geometry, a 7-chord is a line segment that connects two points on a circle and divides the circle into two parts. A triangle can be formed by connecting the endpoints of a 7-chord with the center of the circle. The relationship between a triangle and a 7-chord is that the 7-chord is a side of the triangle when the center of the circle is one of the triangle's vertices.
How do you calculate the distance between the center of cube and its vertices in 3 dimension?
By using Pythagoras' theorem.
Every dilation has a?
Center and Scale Factor....
What are the coordinates for an image on a dilation with a center at the origin?
it is nothing
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
What happens when the center of dilation is a vertex of the shape?
It remains fixed in position and all the other vertices move towards or away from it depending on whether the scale factor is less than 1 or greater than one.
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.
Why does a dilation transform a figure?
A dilation transforms a figure by scaling it proportionally from a fixed center point, known as the center of dilation. This process changes the size of the figure while maintaining its shape and the relative positions of its points. Each point in the original figure moves away from or toward the center of dilation based on a specified scale factor, resulting in a larger or smaller version of the original figure. Thus, dilation preserves the geometric properties, such as angles and ratios of distances.
