Question

The dashed triangle is a dilation image of the solid triangle with the center at the origin. Is the dilation an enlargement or a reduction? Find the scale factor of the dilation.

Answer 1

Answer:

1) it is a reduction

2) the scale factor is 1/ 3

Explanation:

You can use any side or even the height of the triangle to calcualte the scale factor.

Using the horizontal height (that is the height respect the vertical side):

The height of the original triangle (solid lines) is 6 - (-6) = 6 + 6 = 12

The height ot the image (dashed lines) is: 2 - (-2) = 2 + 2 = 4

So, the scale factor is 4 / 12 = 1/3

That is why it is a reduction, because the scale factor is less than 1

Step-by-step explanation:

Answer 2

Answer:

Its a reduction

Rate 3:1

Step-by-step explanation:

The reduction of that triangle to the dashed one is easy to calculate since the fraction of the side on the right is 1 unit in the dashed triangle and in the large one is three units, so the rate would be 3:1 or 1/3 so with that you can reduce all of the sides of the triangles and you have the reduction of the triangle.