Question: What Does A Scale Factor Of 0 K 1 Do To A Figure?

What does a scale factor of K 1 do to a figure?

The value of k determines whether the dilation is an enlargement or a reduction.

If |k|>1 , the dilation is an enlargement.

If |k|<1 , the dilation is a reduction.

The absolute value of the scale factor determines the size of the new image as compared to the size of the original image..

What is a scale factor of 4?

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 . So, the scale factor is 4 .

What is the scale factor of 1 5?

If the scale factor is 1/5, that means the original triangle would have dimensions 5 times larger than the current model. So if the current base is 5 units in size, the original triangle would be 5 times larger.

Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?

We want to chose the figure that could be the result of dilating this rectangle with a scale factor between 0 and 1. When we dilate a figure with a scale factor between 0 and 1, the size of the figure shrinks but maintains the same orientation as the original figure. Therefore the correct option is B.

What does a scale factor look like?

In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. To find the scale factor, locate two corresponding sides, one on each figure. … In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.

What is a scale factor of a rectangle?

The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. A scale factor of means that the new shape is three times the size of the original.

What is the equation for scale factor?

In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x. For example, doubling distances corresponds to a scale factor of two for distance, while cutting a cake in half results in pieces with a scale factor for volume of one half.

What happens when the scale factor is negative?

An enlargement using a negative scale factor will cause the enlargement to appear on the other side of the centre of enlargement; and will be inverted (upside down). The shape will also change size depending on the value of the enlargement.

How do you calculate dilation?

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.

What would it mean for an object to be dilated with a scale factor of K 0?

If k is greater than one, the dilation image will be larger than the. preimage. If k is between 0 and 1, the dilation image will be smaller than the preimage. If k is equal to 1, you. will have a dilation image that is congruent to the preimage.

What is a scale factor of a triangle?

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. … The ratios of corresponding sides are 6/3, 8/4, 10/5. These all reduce to 2/1. It is then said that the scale factor of these two similar triangles is 2 : 1.

What happens when an image is dilated using k 0?

If k < 0, the image will be placed on the opposite side of the center and rotated 180º. Since sides of length 0 do not exist, and division by 0 is not allowed, scale factors are never listed as zero (k ≠0). ΔD'E'F' is the image of ΔDEF (dilation center O, scale factor ½).

How do you dilate by a scale factor of 3?

Perform a Dilation of 3 on point A (2, 1) which you can see in the graph below. Multiply the coordinates of the original point (2, 1), called the image, by 3. Image’s coordinates = (2 * 3, 1 * 3) to get the coordinates of the image (6, 3).

What happens if the scale factor is 0?

If the scale factor is greater than 1, the image is an enlargement. (It expands) • If the scale factor is between 0 and 1, the image is a reduction. (It contracts) • If the scale factor is 1, the figure and the image are the exact same size (congruent). … Dilate the figure by a scale factor of 2.

What does a scale factor of 2 mean?

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. A scale factor ratio can be expressed as a fraction, 12 , or a colon, 1:2 . …

What is a scale factor of 1 3?

A scale factor of 1:3 means that one triangle is 3 times bigger than the other, for example. So, if the small triangle has a perimeter of 27, the big triangle has a perimeter 3 times as big. Doing the math, 3⋅27=81 – the big triangle’s perimeter, then, is 81 units.

Can a scale factor be less than 0?

If the scale factor is equal to 1, then the enlarged shape will be the same size in the same place. If the scale factor is zero, then the shape will effectively disappear.