Question

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

Answer 1

2.1 is correct.

i took the quiz and got it right

Answer 2

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:

`(AB)/(DE) = (BC)/(EF) = (AC)/(DF)`

Substitute the given value we have;

`(AC)/(DF) = (4)/(2) = (2)/(1)` = 2 : 1

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