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What is a negative scale factor?
A negative scale factor is used to produce the image on the other side of the centre of enlargement (scaled to the absolute value of the scale factor).
A dilation is an enlargement if the scale factor is?
greater then 1
How do you enlarge a shape using a scale factore of 0.5?
When a shape is enlarged, the scale factor tells by how much to multiply each length of the original shape to get the corresponding length on the new shape. So with a scale factor for 0.5 (or 1/2), each length of the new shape is 0.5 (or 1/2) times the lengths of the original shape. For example, to enlarge a triangle with sides 6", 8", 10" by a scale factor or 0.5, the lengths become 6" x 0.5 = 3", 8" x 0.5 = 4", 10" x 0.5 = 5"; so the resulting triangle has sides 3", 4", 5". To do the enlargement through a centre of enlargement, a straight line is drawn from each point (vertex) of the shape to the centre of enlargement. The distance from the centre to the point is measured and multiplied by the scale factor; this new distance is measured along the same line from the centre of enlargement as the original point. In this case, negative scale factors can be given, in which case the new distance is measured in the opposite direction from the centre of enlargement, away from the original point.
Sometimes a dilation is an enlargement and sometimes it is a reduction. Explain what types of numbers for scale factors causes each.?
A scale factor whose absolute value is greater than one is an enlargement whereas if the absolute value is less than 1 it is a reduction.
A triangle with a vertex at A(4 -8) is dilated so that A' has coordinates (-3 6). The scale factor used was?
It depends where the centre of enlargement (dilation) was; it can be any value.As all you have given us is the change in the coordinate of the A vertex, so all we can conclude is that the centre of enlargement is somewhere along the line y + 2x = 0.Examples:If the centre is at (3, -6) then the scale factor is -6If the centre is at (0.5, -1) then the scale factor is -1If the centre is at (0, 0) then the scale factor is -3/4If the centre is at (-3, 6) then the scale factor is 0If the centre is at (-4, 8) then the scale factor is 1/8If the centre is at (-10, 20) then the scale factor is 1/2If the centre is at (11, -22) then the scale factor is 2If the centre is at (1.4, -2.8) then the scale factor is 6(As the centre tends towards ±∞ the scale factor tends towards 1 [from below towards -∞, from above towards +∞].)
What is a negative scale factor?
A negative scale factor is used to produce the image on the other side of the centre of enlargement (scaled to the absolute value of the scale factor).
What type of dilation occurs with a scale factor of 14?
The type of dilation that occurs with a scale factor of 14 is enlargement. Any time the scale factor is larger than 1, it is enlargement.
Another name for scale?
Enlargement factor.
What information do you need to complete a given shape enlargement?
The scale or enlargement factor.
A dilation is an enlargement if the scale factor is?
greater then 1
What happens to an enlarged image when the scale factor of enlargement is one?
Absolutely nothing. A scale factor of 1 is the same as saying do not change the scale.
Is a scale factor of a dilation always between 0 and 1?
No, a scale factor of a dilation is not always between 0 and 1. A scale factor can be greater than 1, which results in enlargement, or it can be between 0 and 1, leading to a reduction. Additionally, a negative scale factor can invert the figure. Thus, the scale factor can vary widely, affecting the size and orientation of the figure being dilated.
If someone enlarged a drawing by a scale factor of 3 and got 396 cm squared what was the original drawing?
The scale factor is usually stated as a linear enlargement factor. Therefore, the area enlargement factor is the square of the scale factor, in this instance, 9. The area of the original drawing was thus 396/9 = 44 cm2.
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.
Transformation that enlarges or reduces a figure?
Scaling changes the size of a figure. If the scale factor is greater than 1, the figure is enlarged; if the scale factor is less than 1, the figure is reduced. I the scale factor is equal to 1, the figure's size is unchanged. If there is a centre of enlargement, the new figure can be drawn exactly by multiplying the distance of every point from the centre of enlargement, multiplying this by the scale factor and drawing the new point at this distance from the centre of enlargement. (For a polygonal figure, only the vertices need be measured and the lines between the vertices of the original figure drawn in). With a centre of enlargement, the scale factor can be negative. In this case, the distance to the new points is measured on the opposite side of the centre to the original points, so that it is a straight line form the original point, through the centre to the new point.
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.
Is a transformation that turns a figure to a fixed point?
An enlargement with a scale factor of 0.
