Answer:
The scale factor from H to G is 1/7
Step-by-step explanation:
Key skills needed: Similarity, Division
1) We need to understand the concept of scale factor
Scale factor - the constant value (such as 1/8 or 9) that is being multiplied to every side to create a new set of sides.
One example is a triangle with sides 3,4,5 being multiplied by a scale factor of 2 and getting ---> 6,8,10 (3 x 2, 4 x 2, and 5 x 2)
2) We need to find what is being multiplied to the sides of triangle H to get triangle G. It is seen that G is a lot smaller than H, so the scale factor is a fraction.
3) We can make an equation ---> 28k = 4 --> k is the scale factor, 28 is the original side, and 4 is the new side.
Divide both sides by 28 and get k = 4/28 (4/28 can then be simplified into 1/7) -------->> This means that the scale factor is 1/7.
Hope you understood and have a nice day!! :D
