Q:

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

Accepted Solution

A:
Answer: Option A is correct.2 : 1Step-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: [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex] Substitute the given value we have; [tex]\frac{AC}{DF} = \frac{4}{2} = \frac{2}{1}[/tex] = 2 : 1therefore,  the similarity ratio of ΔABC to ΔDEF is, 2 : 1