Question

How do u find the scale factor of dilation

Answer 1

Explanation:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilation with scale factor 2, multiply by 2.

or

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.

Answer 2

Explanation:

We need to understand what is dilation?

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

• A dilation that creates a larger image is called an enlargement. and its scale factor is greater than 1

• A dilation that creates a smaller image is called a reduction. and its scale factor is smaller than 1

• The scale factor is 1, the figure and the image are congruent.

To find the scale factor of dilation, we need to identify the coordinates of one point in the original shape and the coordinates of one point in the scaled shape. Then divide the x-coordinate of the scaled point by the x-coordinate of the original point.

For example:

• A (1 ,1) in the original shape
• A' (2, 2) scaled shape

=> the the scale factor of dilation = 2 / 1 = 2

Hope it can find you well