The two triangles below are similar. what is the similarity ratio of δabc to δdef?

Asked by maham237 @ 27/12/2020 in Mathematics viewed by 412 People

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

Answered by maham237 @ 27/12/2020

Answer:

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:

$\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}$

Substitute the given value we have;

$\frac{AC}{DF} = \frac{4}{2} = \frac{2}{1}$ = 2 : 1

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

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