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What does it mean to dilate a figure?
To dilate a figure means to resize it while maintaining its shape and proportions. This transformation involves expanding or contracting the figure from a specific point called the center of dilation, using a scale factor that determines how much larger or smaller the figure will become. For example, a scale factor greater than one enlarges the figure, while a scale factor between zero and one reduces it. The relative positions of points in the figure remain consistent, preserving the figure's overall geometry.
How can you find the scale factor from a larger figure to the smaller figure using the scale factor from the smaller to larger figure?
Take the 'reciprocal' of the given scale factor to go the other way. The 'reciprocal' of a number is 1/(the number). 3 ==> 1/3 5 ==> 1/5 1/7 ==> 7 2/3 ==> 3/2 etc.
How does a dilation of a figure with a scale factor 0.5 compare to a dilation of the figure worth a scale factor 2?
A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.
If volume of two similar figures are 729 mm cubed plus 2744 mm cubed if the surface area of the larger figure is 392 mm squared what is the surface area of the smaller figure?
To find the surface area of the smaller figure, we can use the relationship between the volumes and surface areas of similar figures. The volume ratio of the larger figure to the smaller figure is ( \frac{2744}{729} = \left(\frac{a}{b}\right)^3 ), where ( a ) is the linear dimension of the larger figure and ( b ) is that of the smaller figure. Taking the cube root gives the linear scale factor ( \frac{a}{b} = \frac{14}{9} ). The surface area ratio, which is the square of the scale factor, is ( \left(\frac{14}{9}\right)^2 = \frac{196}{81} ). Given the surface area of the larger figure is 392 mm², the surface area of the smaller figure is ( 392 \times \frac{81}{196} = 162 ) mm².
A transformation that proportionally reduces or enlarges a figure?
Scaling will proportionally reduce or enlarge a figure. The amount of scaling is given by the scale factor (greater than zero) If the scale factor is less than 1, the figure is reduced and it is sometimes called a contraction If the scale factor is greater than 1, the figure is enlarged, and it is called a dilation or enlargement. If a centre of enlargement is used, the distance of every point from the centre is multiplied by the scale factor. The scale factor can be negative in which case the distance to the new point is measured on the opposite side of the centre to the original point.
What is it when you find out how much bigger a figure is from a smaller figure?
The ratio
Do managers want contribution margin to be a bigger or smaller figure?
do managers want the contribution margin to be bigger or smaller
Does dilation always make a congruent figure?
No it makes the figure bigger or smaller than the original
How can you find that a any smaller figure is what fraction of a greater figure?
It is the smaller divided by the bigger. For 5 and 17, the 5 is 5/17 of the 17.
How can you find the scale factor from a smaller figure to the larger figure using the scale factor?
The two scale factors are reciprocals of one another.
The scale factor that triples the size of a figure is?
it is called a outter figure shape
Multiplying the coordinates of all points of a figure in the coordinate plane by a scale factor to get a similar figure is called?
Scale factor
How can you find the scale factor from a larger figure to the smaller figure using the scale factor from the smaller to larger figure?
Take the 'reciprocal' of the given scale factor to go the other way. The 'reciprocal' of a number is 1/(the number). 3 ==> 1/3 5 ==> 1/5 1/7 ==> 7 2/3 ==> 3/2 etc.
What is the scale factor that doubles the size of a figure called?
A scale factor of 2.
Abe acd find the scale factor?
To find the scale factor, you need to compare the corresponding sides of two similar figures. The scale factor is calculated by dividing the length of a side on the larger figure by the length of the corresponding side on the smaller figure. For example, if the larger figure has a side length of 8 units and the corresponding side on the smaller figure is 2 units, the scale factor would be 8 divided by 2, which equals 4.
How does a dilation of a figure with a scale factor 0.5 compare to a dilation of the figure worth a scale factor 2?
A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.
How do dogs get hurt by men?
They feel more intimidated by a manly figure than a weaker and smaller woman figure, because men are bigger & have deeper voices.
