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.
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.
Tautologically!
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).
A.)b'(4,-2) b.)b'(-8,16) c.)b'(-2,4) d.)b'(16,-8)
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.
4
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.
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.
Tautologically!
You increase the scale factor.
The area scale factor is the square of the side length scale factor.
A.)b'(4,-2) b.)b'(-8,16) c.)b'(-2,4) d.)b'(16,-8)
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.
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.
1 shape cannot have a scale factor. A scale factor is something (a factor) that relates one shape to another.
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A scale Factor is Algbrea so you have to... x - + and/or divided.