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The scale factors ( b ) and ( a ) typically refer to the ratios used to enlarge or reduce an object in geometry or mapping. Specifically, ( b ) represents the scale factor in one dimension (such as width), while ( a ) represents the scale factor in another dimension (such as height). Together, they determine how the dimensions of a shape are transformed when scaling it up or down. For example, if ( b = 2 ) and ( a = 3 ), the object would be twice as wide and three times as tall.
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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.
How does a scale factor relate to a scale factor?
Tautologically!
What is the scale factor of ABC to DEF A. B.2 C.3 D.one third?
To determine the scale factor of triangle ABC to triangle DEF, you need to compare the lengths of corresponding sides of the two triangles. If the lengths of the sides of ABC are half the lengths of the corresponding sides of DEF, the scale factor would be one half. If the sides of ABC are twice as long as those of DEF, the scale factor would be 2. Without specific side lengths provided, you can't definitively determine the scale factor from the options A (B.2), C (3), or D (one third).
What is the transformation of B(-48) when dialated by a scale factor of 2using the orgin as the center of dilation?
A.)b'(4,-2) b.)b'(-8,16) c.)b'(-2,4) d.)b'(16,-8)
How does scale factor relate to perimeter?
Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.
The scale factor that quadruples the size of a figure is?
4
Two rectangular prisms are similar with a scale factor A and B of 1 and5 Find the volume of prism A given that the volume of prism B is 1000 cubic feet?
The volume of prism A can be calculated by applying the scale factor A to the volume of prism B. Since the scale factor A is 1, the volume of prism A is also 1000 cubic feet.
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.
How does a scale factor relate to a scale factor?
Tautologically!
How do you dilate a scale factor?
You increase the scale factor.
What are the relationship between the area scale factor and the side length scale factor of similar figures?
The area scale factor is the square of the side length scale factor.
What is the scale factor of ABC to DEF A. B.2 C.3 D.one third?
To determine the scale factor of triangle ABC to triangle DEF, you need to compare the lengths of corresponding sides of the two triangles. If the lengths of the sides of ABC are half the lengths of the corresponding sides of DEF, the scale factor would be one half. If the sides of ABC are twice as long as those of DEF, the scale factor would be 2. Without specific side lengths provided, you can't definitively determine the scale factor from the options A (B.2), C (3), or D (one third).
What is the transformation of B(-48) when dialated by a scale factor of 2using the orgin as the center of dilation?
A.)b'(4,-2) b.)b'(-8,16) c.)b'(-2,4) d.)b'(16,-8)
For parts ac what does the scale factor between two similar figures tell you about the given measurements a side lengths b perimeter c areas?
For a, it tells you how many times the side lengths grew or shrunk.For b, it tells you that the perimeter grows or shrinks: scale factor times original perimeter.For c, it tells you that the area grows or shrinks: scale factor squared times the original area.
How does scale factor relate to perimeter?
Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.
What is the scale factor of a 3 sided shape?
1 shape cannot have a scale factor. A scale factor is something (a factor) that relates one shape to another.
How do you convert ratio scale to linear scale?
To convert a ratio scale to a linear scale, you can apply a linear transformation, typically using the formula ( y = ax + b ), where ( x ) is the value on the ratio scale, ( a ) is the scaling factor, and ( b ) is the offset. This transformation retains the proportional relationships inherent in the ratio scale while adjusting the values to fit the desired linear scale. Ensure that the chosen ( a ) and ( b ) values reflect the specific requirements of the linear scale you want to achieve.
