The two triangles below are similar. what is the similarity ratio of δabc to δdef? triangle abc is shown with ac measuring 4 and bc measuring 5. triangle def is shown with side df measuring 2. 2: 1 1: 2 2: 5 5: 2

2.1 is correct.

i took the quiz and got it right

Option A is correct.

2 : 1

Step-by-step explanation:

Similar triangle:

Two triangles are similar if their corresponding sides are in proportion or side are of equal length.

As per the statement:

Given:  ΔABC and ΔDEF are similar triangle.

Triangle ABC is shown with AC measuring 4 and BC measuring 5.  

Triangle DEF is shown with side DF measuring 2.

Then by definition of similar triangles:

Substitute the given value we have;

= 2 : 1

therefore,  the similarity ratio of ΔABC to ΔDEF is, 2 : 1

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6