Question

If the dilation is given: triangle ABC — triangle A'B'C' under D0, 2,

which of the following is the scale factor?
A. 0.5
B. 2
C. 1

Answer 1

The scale factor can be found by comparing the corresponding dimensions of the original and dilated triangle.

Step-by-step explanation:

The scale factor can be found by comparing the corresponding dimensions of the original triangle and the dilated triangle. In this case, triangle ABC is dilated to triangle A'B'C' under a scale factor of 2. To find the scale factor, you can compare the lengths of corresponding sides.

If the lengths of the sides of the original triangle are multiplied by the scale factor, they should equal the lengths of the corresponding sides of the dilated triangle.

So, for example, if AB = 3 units and A'B' = 6 units, the scale factor would be 2. In this case, option B, 2, is the correct scale factor.If the dilation of triangle ABC to triangle A'B'C' is given by D0, 2, this means that every point on triangle A'B'C' is twice as far from the center of dilation (point 0) as the corresponding point on triangle ABC.

Therefore, the points on the dilated triangle are at a distance that is 2 times the distance of the corresponding points on the original triangle. This means that the scale factor of the dilation is 2.