Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12
cm and is the longest side of ABC. Side DE measures 8 cm and is the
longest side of DEF.
1. Triangle ABC is a scaled copy of triangle DEF with what scale
factor?
2. Triangle DEF is a scaled copy of triangle ABC with what scale
factor?

Respuesta :

Answer:

1. The scale factor here is 1.5

2. The scale factor here is 2/3

Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

we have two triangles;

ABC and DEF

longest sides are in the ratio;

12 : 8

1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF